.5 ..‘..._4. I_ ‘-.a v...‘ - — -r‘): ‘b . ‘b‘r‘4 _. .—_._ ’v t“ flyIIIr “4;;- DI '1 I: ,. DD?“ . , DVD; D DD I} I ”DDDDDF D I' .Dr‘ DI , ‘ [4| :DDDD‘D‘ I'LD'D 13D . I .1{. ". fign| 44D 5 .. I 9 in: .DDDDID DUD? DDD'IDDD IDDDDQ DII'..-,IDD'~ '_-.D I. L ,. LD‘ D V D IDD . {GUD-III’DDDEWMA'D "IIDD D‘I IDD‘D'I "- .1 'h DID.“ ‘DD'A' DDD‘DDD . D. 3' . '.' I, .‘ D 'D. DDVLDDDD’Dj’DW'J ,1. MD .‘4'44:If;“.I DD .414 II' .._ “SW" D DDDDDDDDDD D .‘1 ' ID? ‘ I" "D l I‘ - DDDD- . I'D-:ID.1 DDDD '.I_"ID DD}? ‘I '£.IDIDDDD I! D' ' 431‘, 1' '.-' DD DD.“ D“- . 3d - .4 i .5" o,. , ,:4.:4“‘ 4;: .'_I:. ‘ 1i 3- hDD'DD; 'I I EDDID£ uglfl‘ DD'D‘D ‘ . " DD4f ~ D D DEIDID . PDDED ‘ND DIIDIIIQIDI. p: “N- D}; C'J D 'I ‘l I: .."I‘3’Y".D I4:'-. {DIM _DD'DI'.DD1D‘§D DMSH; "-DDD, ‘ ‘DDD DDDDDDSIDD (D: DD .D-D‘DDID'DDID' D D D; .‘D I I II».- EDDDD 4444».- 4» ‘ "’4“. 4‘» ., .s . - DD‘.D , .ID I II (DDD' I‘DIID DD D-DDSDIIDDD; III» 4‘ 4 44.». I“ 4.424 4II=4I..4444"'..4.44 ZDD', JD. Dgzb DDD I'DI. I DDDD-éD' ' . . DD E_ D; I' v - D ‘7‘ ‘ {.DDED DIN-ID» D ... 3&4 ‘ 'I' l4 4IDII D I,’ WD II. {I ., . g ,.hg 4 4'4“ 4 :1 “3194.1 DDDIDDD II-DID' ID". :. DDIDIIIu‘DD ' "it. 35114;}: ID! ‘ .DQD'. ..,...:I. $414K“ D 4 31.31-94.33 4 .‘DDDpDDDD D1II‘EI“,DII'; DD‘D‘DDD'DD D DIDID ‘.', DOIDII‘: DDDD'DDDDD I" . . nit-7t ' . DI. I.» 3‘ '4: ‘4 I 12D:.| . _ I .'I4' D‘IDDIDDDDDI. 4‘ I .jD4 ' u I'. {DIM ' ' .4 "3" .‘DD D‘ I _D. D.'DD7IDI1D. I D,‘ D.".:DD D ,D D I . I DI . .-D. .I II. .I-'_.I‘; 'I II" 4,. - '«DD'D- |.-¥ ' ., D. ID..D‘.DDD D _.",'; DDDDDIID ‘. . . . . . 3 1‘4 I 4‘:.I,D:4 DD‘DD'DDDI. IHDDDD-DDDDDDDI I151: ‘4: ' 4.» II «1.4 U.fnu .w 44' ,II I“ 4‘ .. 4 , . 4 . b DDDDDD‘DDU w;;fia. I I I ‘ ‘ ..‘ . I .’.-':I- . lm‘ 'DII'.' _‘;D_‘DI.'.4 4} . '. ' . . ' DID DDDDDDDDD DDIII'D ' - D 4 I» 4. '4 . ‘. ‘ 4"..444I LI 44:1'D. . D' 2".” DDD'DD'I“D II: :' . ‘D’DII 4‘4" I'. 51: ' '. .. I‘ ID ,4”! .fDD I'D»DDDDIDDIDDDDD‘IDDIDDWDDD DDDDD D ‘DID‘DD_IDD.D,.DD D‘DIDDDDDHDDD ,'.,DD I I DIIDDID DDDDDDDD DDDDD DDDDc DDDDDDDiDDDD DD D ID... .. . . ~» III- I .av-Z I ,DDDD ;D‘I ""41ID. DID '4'DD'I. DDDDDDDDD‘DD . ’ DDDD “D' DDIDDD DfDDD' DD DDDDDDDDD‘ DD'D'1 DID 'I DDDDDDDDDD . D DDDDDDDDDDDID DDDD DDID DIDDDDID‘. D 'DID DIDD DDDD. DDDDDDDD D D. .DDDDDD DDDDD'I I If DDDD’. IDIIDI D DDDIDDD IDDDDD‘DD. DDDDDDDDDDDD DD DDDIDDDD‘DI DD'D I . I .D DDDD'DII.IIDD.DD, DDI'IDMDDTD‘D I I D D DDEIIDZD’ . I. DDD DDD4D' DDDD'DD D I DDD DDDDDDDDDD DDDDDDD DDDDDDDDDDDD DIDDDIDDD DD I D D D D DDDDDDDD DDDDD DDDDDD DDD . ‘ I'D DIIDD D“IDD|., I' DDDDDID IDDI IDD DDDDI‘DDD D I. ,‘DDDDIIDID. DIDD """ ‘D4 II. 'D‘“ W "'DDDD'IDI.'DII.1"'.ID‘.'IDI. .D'IDDDD “21‘..- . .H fl. ‘ - l—th ,fl.‘ ID D4 Ia.» DID . I.» .II . .. ....I»4..4» .. MIDI THESIS llll“Willi“!UlUllHllHHlHlHUJill“!!!lllllllll 301712 0076 This is to certify that the dissertation entitled The Incidence and Housing Market Effects of Michigan's 1994 School Finance Reforms presented by Jeffrey Paul Guilfoyle has been accepted towards fulfillment of the requirements for Ph.D. Economics degree in ,K/ Major professor Date//%/ /;;% MS U is an Affirmative Action/Equal Opportunity Institution 0.12771 LIBRARY Mlchlgan State University PLACE IN RETURN BOX to remove this checkout from your record. To AVOID FINES return on or before date due. I MTE DUE DATE DUE DATE DUE Mttztofifl FEB 11an a MEI. e4 2 9 '14 1M chlMpfiS-p.“ THE INCIDENCE AND HOUSING MARKET EFFECTS OF MICHIGAN’S 1994 SCHOOL FINANCE REFORMS By Jeffrey Paul Guilfoyle A DISSERTATION Submitted to Michigan State University in partial fulfillment of the requirements for the degree of DOCTOR OF PHILOSOPHY Department of Economics 1998 ABSTRACT THE INCIDENCE AND HOUSING MARKET EFFECTS OF MICHIGAN’S 1994 SCHOOL FINANCE REFORMS By Jeffrey Paul Guilfoyle Michigan’s 1994 school finance reforms dramatically changed the way public schools in Michigan are financed. As part of these reforms, reliance on local property taxes as a funding mechanism was greatly reduced. Lost revenues were replaced by increasing a variety of state taxes, including a state property tax. The reforms also shified control over school funding decisions from the local school districts to the State government. This dissertation examines two aspects of the recent reforms. The major concern of this dissertation is to determine the effects of inter-community property tax and school spending differentials on house prices. House sales occurring before and after the reforms are examined to see how differences in school property tax rates and school spending amounts between communities are reflected in the price of housing. The nature of the reforms and the availability of good sales data allow this study to avoid many of the difficulties encountered by other studies. This dissertation also examines the overall tax incidence of Michigan’s recent school finance reforms. The incidence of the reforms is measured for three types of households: a senior citizen couple; a family of four; and a single resident. For each of these groups the incidence is measured under several different housing and community assumptions. The measured groups should represent the experiences of a large portion of Michigan’s taxpayers. To Wendy iv ACKNOWLEDGMENTS Many people helped to make this dissertation possible and I would like to briefly thank some of them. First, I would like to express my gratitude and sincere appreciation to my advisor, Professor Ronald Fisher, for guidance, advice, counseling and encouragement. I am greatly in his debt for all he has done for me during my time at Michigan State. I would also like to than the other members of my committee, Professors Charles Ballard and Leslie Papke, for their insight, support, and valuable input. Additionally, I would like to thank Jeffrey Wooldridge for his fi‘equent advice and help in solving, what were to me, perplexing econometric problems. I have had the good fortune of making many friends at Michigan State, several of whom also contributed to my academic success. I especially want to thank Kathleen Beegle, Jen Brown, Dan Hansen, and Marianne Johnson. I thank my parents and family for their continuing love and support. I also thank Steve and Sherry Mileski for all of their help and support (and baby-sitting) during my four years at Michigan State. But most of all I wish to thank my wife Wendy and son Paul. My tenure in graduate school was in many ways harder for them than it was for me. I want to thank them both for their love and support, for helping me through the difficult times, and for all they have done to help make my graduation possible. TABLE OF CONTENTS LIST OF TABLES ..................................................................................................... viii LIST OF FIGURES ..................................................................................................... ix INTRODUCTION ......................................................................................................... 1 CHAPTER 1 MICHIGAN ’8 CHANGES ............................................................................................ 4 I. Overview ....................................................................................................... 4 II. Michigan’s School Funding History ............................................................ 4 111. Tax Changes ................................................................................................ 7 IV. Changes in Revenue Allocation ................................................................ 11 CHAPTER 2 REVIEW OF PROPERTY TAX THEORY ................................................................ 15 I. Introduction ................................................................................................. 15 II. The Benefit View ....................................................................................... 16 III. The New and Classical Views .................................................................. 21 IV. Yinger’s Theory of Capitalization ............................................................ 25 V. Predictions for Michigan ............................................................................ 29 CHAPTER 3 EMPIRICAL CAPITALIZATION LITERATURE .................................................... 32 I. Introduction ................................................................................................. 32 II. Previous Empirical Work ........................................................................... 33 Aggregate Studies ................................................................................ 36 Micro Estimates ................................................................................... 39 Natural Experiments ............................................................................ 41 III. Opportunities in Michigan ........................................................................ 44 CHAPTER 4 CAPITALIZATION ESTIMATES ............................................................................. 45 I. Introduction ................................................................................................. 45 II. Michigan’s Reforms ................................................................................... 47 III. The Econometric Model ............................................................................ 52 IV. Mean Sales Price Estimates ...................................................................... 60 V. Dual Sales Estimates .................................................................................. 65 VI. Conclusion ................................................................................................ 69 vi CHAPTER 5 THE INCIDENCE OF MICHIGAN ’3 SCHOOL REFORMS ................................... 84 I. Introduction ................................................................................................. 84 II. Incidence Definition ................................................................................... 86 111. Tax Incidence Estimates ........................................................................... 87 Income Assumptions ............................................................................ 87 Sales Tax Estimates ............................................................................. 89 Effects of Property Tax Changes on Renters ....................................... 92 Effects of Property Tax and School Spending Changes on Existing Homeowners .......................................................................... 96 Effects of Property Tax and School Spending Changes on New Homeowners .............................................................................. 100 Changes in the Income Tax ................................................................ 103 The Cigarette Tax .............................................................................. 104 IV. Total Tax Incidence ................................................................................ 105 V. Service Level Changes ............................................................................. 108 VI. Conclusion .............................................................................................. 111 APPENDIX ............................................................................................................... 134 REFERENCES .......................................................................................................... 153 vii LIST OF TABLES CHAPTER 1 Table 1.1 Revenue Replacement Alternatives ................................................ 14 CHAPTER 4 Table 4.1 Events Leading Up to Michigan’s 1994 School Reforms .............. 77 Table 4.2 Full Capitalization of $1 per Year Under Differing Assumptions..78 Table 4.3 Summary Statistics for Average Sales Price Sample ...................... 79 Table 4.4 Estimates Using Means Sales Price for Each Community ............. 80 Table 4.5 Summary Statistics Dual Sales Data ............................................... 81 Table 4.6 Dual Sales Estimates ....................................................................... 82 Table 4.7 Summary of Effects of Tax and Spending Changes ....................... 83 CHAPTER 5 Table 5.1 Estimates of Income for Various Household Types .................... 121 Table 5.2 Sales Tax Estimates for Various Demographic Groups .............. 122 Table 5.3 Calculations of Rent Savings from Michigan’s School Reforms 123 Table 5.4 Property Tax Credit Estimates -- Renters .................................... 124 Table 5.5 Estimated Property Tax Payments and Credits for Homeowners existing and new) -- w/o Reforms ........................ 125 Table 5.6 Estimates of Reform Effects on Existing Homeowners .............. 126 Table 5.7 Estimate of Reform Effects on New Homeowners ...................... 127 Table 5.8 Income Tax Estimates for Various Demographic Groups ........... 128 Table 5.9 Percentage Smoker by Income for 1993 ...................................... 129 Table 5.10 Total Tax Incidence for Smokers ................................................. 130 Table 5.11 Total Tax Incidence for Existing Homeowners ........................... 132 Table 5.12 Total Tax Incidence for New Homeowners ................................. 133 APPENDIX Table A.1 Oakland County Population and Housing Data ............................ 136 Table AZ List of Dual House Sales ............................................................... 139 Table A3 Oakland County School District Tax and Spending Data ............. 152 viii LIST OF FIGURES CHAPTER 4 Figure 4.1 Property Value Growth 1990 - 1996 .............................................. 73 Figure 4.2 Property Value Growth 1990 - 1996 .............................................. 74 Figure 4.3 School Spending Changes 1990 - 1995 .......................................... 75 Figure 4.4 Average Millage Rates 1990 - 1996 ............................................... 76 CHAPTER 5 Figure 5.1 Tax Changes as a Percent of Income (Non-Smoker - Brandon Twp) ...................................................... 113 Figure 5.2 Tax Changes as a Percent of Income (Smoker - Brandon Twp) .............................................................. 114 Figure 5.3 Tax Changes as a Percent of Income (Non-Smoker - Bloomfield Twp) ................................................. 115 Figure 5.4 Tax Changes as a Percent of Income (Smoker - Bloomfield Twp) ......................................................... 116 Figure 5.5 Tax Changes as a Percent of Income (Non-Smoker - F emdale) ............................................................. 117 Figure 5.6 Tax Changes as a Percent of Income (Smoker - F erndale) ..................................................................... 118 Figure 5.7 Tax Changes as a Percent of Income (Non-Smoker - Pontiac) .............................................................. 119 Figure 5.8 Tax Changes as a Percent of Income (Smoker - Pontiac) ....................................................................... 120 ix INTRODUCTION In 1993 and 1994, the State of Michigan dramatically overhauled the way it finances public schools. The reforms changed several of Michigan’s taxes and the local property tax rates of many school districts. The reforms also changed the way in which revenues are allocated to Michigan’s public school districts. In this dissertation, I examine two aspects of the reforms in detail. First, I measure the effects of the property tax and school spending changes on house prices in Michigan. Second, I estimate the overall incidence of Michigan’s reforms. I measure the effects of the property tax and school spending changes on house prices in Michigan, using data on house sales from Oakland County. I generate two measurements of the capitalization effect, using two different samples. The first sample consists of observations of the average sales price, tax rate, and level of school spending for a number of communities in Michigan’s Oakland County. With this sample, I find that a $1.00 property tax differential between communities results in a $9.93 difference in the average sales price of houses. This finding is consistent with the results of two similar studies (Gabriel 1981 and Rosen 1982) that examine property tax capitalization in the context of California’s Proposition 13. Gabriel finds that a $1.00 property tax differential leads to a $12.00 difference in the average sales price of houses, while Rosen finds that a $1.00 property tax differential leads to a $7.30 price differential With this 2 sample, I do not find evidence that differences in per-pupil school spending across communities are reflected in house prices. The second sample consists of observations of over 700 houses that sold once before and once afier Michigan’s reforms. I argue that this sample is superior to the average-sales-price sample for a number of reasons. Using this sample, I find that a $1 property tax differential between communities leads to a $4.25 difference in house prices. I also find that an increase in school spending by one community of $100 per pupil will increase house prices in that community by 0.5 percent, all other things held constant. The results of this sample are substantially different than the results found using the average sales price of houses. I argue that the dual-sales sample is superior, and that the results found using the average sales prices of houses may be biased. I then use these findings, along with a number of other estimates, to estimate the incidence of Michigan’s school finance reforms. I find that non-smokers who owned a house at the time of the reforms generally received a large tax cut. Non-smoking individuals who purchased their houses subsequent to the reforms generally saw their overall tax burden increase as a result of the reforms. For non-smoking renters, the results are mixed. If property tax savings received by landlords are reflected in lower rents, renters generally came out ahead as a result of the reforms. If property tax savings received by landlords are not reflected in lower rents, renters generally came out behind. There is little evidence yet as to the effects of the reforms on rents in Michigan. For Michigan residents who are smokers, the cost of Michigan’s reforms were much higher. As part of the school finance reforms, the state excise tax on cigarettes was raised from $0.25 to $0.75 per pack. This amounted to a relatively large additional tax cost for smokers. For low-income households with heavy smokers, the increased cigarette tax is a large burden. This dissertation is composed of five chapters and an appendix. Chapter 1 contains a detailed description of Michigan’s recent reforms. Chapter 2 contains a review of the theoretical property tax literature. Chapter 3 examines the empirical capitalization literature. Chapter 4 contains estimates of the differential effects of Michigan’s property- tax cuts and school spending changes on the prices of owner-occupied housing. Chapter 5 contains estimates of the overall incidence of Michigan’s tax and spending changes. The appendix contains a subset of the data that were used to generate the estimates in this dissertation. Chapter 1 MICHIGAN ’8 CHANGES I. Overview This chapter contains a detailed description of Michigan’s school finance reforms. The information contained in this chapter was gathered from four main sources: Courant (1982), which describes Michigan’s property tax system prior to the reforms; Brazer, Laren, and Sung (1982), which describes K-12 public school funding in Michigan prior to the reforms; Addonizio, Kearney, and Prince (1995), which contains the history of Michigan’s recent reforms and a description of the tax changes; and finally, Kearney (1994), which describes school funding after the reforms and also details the new property tax system. [1. Michigan’s School Funding History Prior to 1973, Michigan allocated aid to school districts in the form of a lump sum (as long as a minimum property tax millage was levied). Because aid was in the form of a lump-sum grant, it created only income effects and not price effects, with respect to local revenue decisions.1 The gain to a school district from raising its property tax rate was directly proportional to the property wealth of the community. ' See Fisher (1996) for a discussion of the advantages and disadvantages of different forms of grants. 4 5 In 1973, Michigan passed the Bursley Act and began using what is known as a district power equalization (DPE) method for allocating aid to school districts. DPE funding methods seek to equalize the amount of revenue that school districts can raise with a given tax rate. The aid given to a school district is based on the property tax base of the district and on the tax rate levied. There were several reasons for Michigan’s switch to a DPE format. In 1970, a popular book, Private Wealth and Public Education, advocating the DPE method was published by Coons, Clune, and Sugarrnan. In 1971, the California Supreme Court ruled in Serrano v. Priest that California’s reliance on local property taxes for school firnding violated the state and federal constitutions. This ruling raised concerns as to whether Michigan’s school finance system was constitutional. The Michigan state government had been trying to reform school spending prior to the Bursley Act. A ballot initiative that would have limited the use of local property taxes for school funding was rejected by the state’s voters in 1972. In December of 1972, the Michigan Supreme Court declared Michigan’s school financing program to be unconstitutional. Although this decision was later reversed, the reversal did not come until afier the Bursley Act was passed.2 The passage of the Bursley Act did not result in equalized spending for Michigan’s school districts. Feldstein (1975) showed that DPE aid allocation methods generally do not result in equalized spending, because voters in different school districts will generally choose different spending amounts for their district. In general, richer school districts choose higher spending levels, even if a DPE system is fully 2 The source for the pre-Bursley Act history is Brazer, Laren, and Sung (1982). 6 implemented. By the time Michigan’s reforms were implemented, Michigan’s DPE system was no longer working correctly; districts with high tax rates did not always have high spending levels.3 Roughly one-third of Michigan’s school districts were “out of formula” meaning they received no firnding aid from the state. Spending in the out-of- forrnula districts was highly correlated with wealth. In addition, because out-of-formula districts received no aid from the state, they had little incentive to support funding increases for the in-formula districts. By 1993—94, per-pupil spending in Michigan’s school districts was highly correlated with the districts’ property tax wealth (see Courant, Gramlich, and Loch 1982). Additionally, the variance in property tax rates for school operations was high, ranging in 1993-94 from 8 mills to 47 mills.4 Michiganders were clearly unhappy with their school finance system. The system’s high reliance on the property tax and the inequitable school funding that resulted prompted many efforts for reform. However, Michigan citizens did not approve of any of the alternatives offered them, either. Between 1972 and 1993, Michigan voters rejected all 12 of the reform initiatives presented to them.5 In 1990, John Engler, then a candidate for Governor of Michigan, promised property tax relief. Three years into his term, despite three different ballot initiatives, Michigan’s system remained intact, and Engler’s promise remained unfulfilled. In July 3 Source: Addonizio, Kearney, and Prince (1995). ‘ A mill is a tax rate of $1 per $1000 of taxable property. In Michigan property is assessed at 50 percent of its cash value so that a 1 mill tax should produce $0.50 per $1000 of property. 5 Source: Addonizio, Kearney, and Prince (1995). 7 of 1993, State Senator Debbie Stabenow proposed eliminating the property tax as a method of funding schools. The bill Stabenow introduced did not provide for the replacement of lost revenues -- approximately $6.5 billion. The bill was quickly passed and the governor and legislature began work on replacing the lost revenues. Governor Engler saw this as an opportunity to revise the method by which revenues were allocated to the local school districts. The ballot initiative that was eventually enacted did change the method of allocating revenue. It also restored some of the property taxes that had been eliminated, and changed several other Michigan taxes.6 111. Tax Changes Prior to 1994, the property tax consisted of taxes levied by 264 cities, approximately 270 villages, over 1200 townships, 83 counties, and about 600 school districts. The property tax in Michigan was used to fund a variety of state and local services. Prior to Michigan’s reforms, however, the majority of property tax revenues went towards funding public schools. In 1980, 68.2 percent of all property taxes in Michigan went to school districts.7 School property taxes fall into three categories: operation; building and site; and debt retirement. The operation tax was used to fund the operation of schools. In 1991, the operations millage ranged from 8.37 mills to 46.25 mills. The building and site millage accounted for a far smaller percent of taxes, ranging from zero, for 474 of 6 Ibid. 7 Source: Courant (1982). 8 Michigan’s school districts, to a high of 7.27. The debt retirement millage ranged from zero, for 96 of Michigan’s school districts, to a high of 9.0.8 Prior to 1994, taxing units at the county level could levy a fixed number of mills (up to 18 in some cases) without obtaining voter approval. Usually school districts were granted between 6 and 11 mills of this taxing authority. This amount was known as the district’s “allocated” millage. School districts could raise additional funds by asking the voters of their districts to approve additional “voted millages.”’ Michigan’s property tax is calculated using a property’s assessed value. Michigan law requires property to be assessed at 50 percent of its cash value.10 Because certain state policies are based on a county’s or district’s assessed property wealth, the state monitors the accuracy of local assessment practices. Each city, township, or village assesses the property in its jurisdiction. The county and state then each check to ensure that the total assessed value of property in the community is equal to 50 percent of its cash value. Courant (1982) argues that Michigan’s assessment quality is among the best in the nation in terms of assessment accuracy. 8 Michigan State Board of Education Bulletin 1014. 9 Source: Kearney (1994). '0 As part of the 1994 reforms, a distinction was made between assessed value and taxable value. Property is still assessed at 50 percent of cash value. In 1994, taxable value and assessed value were the same for all properties. Increases in the taxable value of property are capped at 5 percent a year or the rate of inflation, whichever is less. The taxable value is set back to 50 percent of the cash value upon the sale of the property. 9 In August 1993, Michigan passed Public Act 145. This act eliminated the use of local property taxes for school operations. These property taxes had accounted for 66 percent of K—12 school revenues in the 1993-94 school year (approximately $6.5 billion)“ Replacing the lost revenues was made more difficult by two provisions of the Michigan Constitution. First, the state was limited in the share of total state personal income that can be collected as a tax. In 1993-94, Michigan was approximately $4.2 billion under the cap. Second, raising the state sales tax, the preferred alternative, required voter approval.‘2 In December, 1993, the state proposed its new tax system. First, to come in under the State’s constitutional tax limit, a portion of the local property tax was restored. Second, the legislature produced a proposal that contained two funding alternatives. The preferred alternative raised the needed revenues primarily through an increase in the state’s sales tax. As noted above, raising the state’s sales tax required the approval of the voters. Wary of the history of school finance ballot initiatives in Michigan, the legislature also proposed a fall-back plan in case the sales tax increase was not approved. This plan relied on raising the state income tax -- something that did not require voter approval. Table 1.1 outlines the competing proposals. In March of 1994, Michigan voters approved the ballot proposal by a large margin. Several aspects of the ballot plan should be noted. First, in addition to raising the state’s sales tax, the cigarette tax was also increased from 25 to 75 cents per pack, the ” Source: Kearney (1994). ’2 Source: Addonizio, Kearney, and Prince (1995). 10 Michigan lottery was slightly expanded, and the state’s income tax rate was reduced from 4.6 to 4.4 percent. In addition, the property tax credit available to renters was slightly increased.'3 Although the use of the property tax in Michigan for school funding was greatly reduced, it was not eliminated. Owner-occupied houses, known as “homesteads” in Michigan, are taxed at a rate of 6 mills for school operations. Non-homestead property, which is all taxable property other than owner-occupied housing, is taxed at a rate of 18 mills. Although taxed at a higher rate than homestead property, the property tax rate for non-homestead property in most communities was reduced. In addition, school districts remain responsible for their own debts and can levy millages to pay for them. School districts that were spending more than $6500 per pupil in 1993-94 were required to levy additional “hold harmless” millages, if they wished to maintain their high spending levels. An assessment cap has been imposed that limits annual assessment increases on property to the lesser of inflation or five percent. The cap is reset upon the sale of the property. Although the property tax for school operations is relatively uniform now, prior to the reforms it varied widely by district. Therefore, the size of the property tax cut varied by district as well.‘4 ‘3 lbid. ” Source: Kearney (1994). 11 1V. Changes in Revenue Allocation In 1994, Michigan fundamentally changed its school funding methods. Funding decisions were, for the most part, removed from the local districts. These decisions are now made primarily at the state level. As part of these changes, Michigan replaced its old DPE system with a foundation grant approach. Under a foundation grant approach, each school district is guaranteed a minimum funding level. The state of Michigan now guarantees that each district will receive a minimum level of funds known as the district’s foundation grant allowance. Technically, the foundation allowance for 1995 was $5,000. However, due to the large cost of moving all districts up to the foundation grant at once, the state decided to implement the changes gradually." Districts that were spending below $4,200 per pupil in the 1993-94 school year, were moved up to $4,200 in 1994-95, or by $250, whichever was greater. Districts spending above $4,200 and below $6,500 were increased from the 1993-94 funding levels according to a sliding scale. The formula for this scale is: 93-94 Revenue per pupil + ($250 - ($90*((93-94 rev per pupil - $4200)/$2300))) For example, a district spending $5,000 per pupil in the 1993-94 school year would see their per-pupil revenue increase by approximately $219, a 4.4 percent increase. The effect of this formula was that districts closer to $4,200 received larger percentage ‘5 lbid. 12 increases than districts closer to $6,500. All districts with 1993-94 spending below $6,500 were taxed at the same millage for school operations.l6 Districts spending above $6,500 in 1993-94 were allowed to maintain their high spending levels, but were required to levy an additional “hold harmless” property tax. These districts were allowed to increase their funding by $160 per pupil in the 1994—95 year.‘7 The basic foundation allowance is expected to increase annually. The changes in funding for school districts will be based on changes in the basic allowance. The dollar increase in the foundation allowance is calculated by taking the previous year’s foundation allowance and multiplying it by a number known as the final index. The final index is based on changes in the School Aid Fund and the changes in pupil head count. The School Aid Fund is composed of a number of taxes earmarked for school spending. Districts still spending below the foundation allowance after 1994-95 will be moved up according to a sliding scale. This scale is used to ensure that districts below the basic allowance are increased at a rate higher than the rate for districts already above the foundation allowance. For districts already above the allowance, revenue is increased by the same number of dollars that the basic foundation grant is increased. Thus, all of these districts are increased by the same dollar amount. However, this dollar amount represents a larger percentage change for lower-spending districts. Essentially, some of the difference in dollars spent by districts is being held constant. However, as the '6 Ibid. '7 Ibid. 1 3 foundation allowance rises, this difference will represent a shrinking percentage of spending.‘8 The State School Aid Act also provides for special and categorical grants. These grants finance a number of programs, including special education, gifted and talented programs, bi-lingual education, and at-risk education programs. In 1994, the State specifically allocated $230 million in funds for districts with a high level of poverty. These funds will help offset any differences in per-pupil costs faced by the districts. To what extent these firnds match up with costs is a subject for further research. Finally, no attempt is made by the state to adjust the foundation grant for cost differences due to factors such as climate, wages, or other “non-student” factors.‘9 Michigan’s reforms centralize much of the decision making for local public schools. Increased educational equity is gained at the expense of local choice. Courant, Gramlich, and Loch (1995) refer to this potential problem in noting that many more of Michigan’s citizens will be off their demand curve with respect to educational spending. Many poor school districts will have access to far more school revenues than their citizens would have chosen. Many rich districts will have access to less revenues than their citizens would have chosen. This effect could lead to pressure to change the system in the future. '8 Ibid. ‘9 Ibid. 14 Table 1.1 Revenue Replacement Alternatives Tax 1993-94 1994-95 Ballot Proposal 1994-95 Statutory (Pre-Reforrn) (Approved April, 1994) Alternative Local Property Tax All property: Homesteads: 0 All property: 34 mill Non-homesteads: 12 mills average 18 mills State Property Tax None All property: 6 mills Homesteads: 0 Non-homesteads: 12 mills State Sales Tax 4% 6% 4% State Income Tax 4.6% 4.4% 6% Income Tax Personal $2,100 $2,100 $3,000 Exemption State Real Estate None 2.0%a 1.0% Transfer Tax State Cigarette Tax 25 cents 75 cents 40 cents (per pack) Single Business Tax 2.35% 2.35% 2.75% Interstate Telephone None 6% 4% Tax Keno Lottery None Plannedb Not Included Note: The ballot proposal was the one eventually enacted. a. The tax was subsequently lowered to 0.75%. b. After enactment of the ballot proposal, Governor Engler indicated that he did not intend to implement a Keno lottery but would instead seek Michigan inclusion in a multi- state lottery. Source: Addonizio, Kearney and Prince (1995). Chapter 2 REVIEW OF PROPERTY TAX THEORY I. Introduction In this chapter, I review the theoretical economic literature of the property tax on residential housing. The effects of a non-residential property tax are not examined. Because empirically estimating the degree to which interjurisdictional tax differences are capitalized into property values is the primary focus of my research, special emphasis is given to the capitalization effects predicted by the various theories. If property tax differentials are reflected in the prices of otherwise identical properties, the tax differential is said to be capitalized. Full capitalization occurs when the prices of otherwise identical properties differ by the full present value of the property tax differential. The degree to which property taxes are capitalized is an important element in examining property tax policies for several reasons. First, the degree to which the tax is capitalized has an effect on the incidence of the property tax. If a property tax change is fully capitalized, the selling value of the asset is reduced by the present discounted value of the tax. Under full capitalization, the owners of property at the time of a tax change bear the full burden of the tax. They are unable to escape the tax by selling their property, because the property’s value has been reduced by the full amount of the firture tax stream. Second, capitalization is important for determining the efficiency of the 15 16 property tax. The degree to which the property tax is a distorting tax on capital is to some extent determined by the degree of capitalization. The ability of local governments to provide local public goods efficiently, and the amount of redistribution that occurs through local public good provision, are also in part determined by the degree of property tax capitalization.l Finally, different economic theories of property taxes have somewhat different predictions concerning the extent to which property taxes are capitalized. Examining the degree to which a property tax change is capitalized can help in the evaluation of these theories. This chapter is divided as follows. The next section discusses the “benefit” view of the property tax. The third section discusses the “new” and “classic” views of the property tax. The fourth section discusses the contributions to capitalization theory made by John Yinger. The final section discusses the implications of these theories for Michigan’s tax changes. 11. The Benefit View Although a decentralized market system has many advantages, it generally will not produce the optimal level of public goods. In his classic article, Samuelson (1954) argues that “no decentralized pricing system can serve to determine optimally these levels ‘ Many models examining the efficiency of the property tax assume that the local public service level is selected by voters who must use the property tax to finance expenditures. These models are no longer valid for Michigan, at least with respect to school finance, due to Michigan’s centralization of local school spending decisions. Information on the degree to which property taxes are capitalized is still useful, however, in determining whether local decision making will lead to an efficient outcome. 17 of collective consumption.” (p. 388). Writing in response to Samuelson, Charles Tiebout (1956) argues that while this may be true for public goods provided at the federal level, it is not necessarily true for local public goods. Tiebout develops a list of assumptions under which it was possible for local public goods to be provided at an efficient level. Tiebout’s model consists of a large number of local governments that finance expenditures via a head tax. Consumers reveal their preferences for local goods through their choice of residence. Consumers preferring a high level of public services live in a locality with high taxes and services. Consumers preferring a low level of services live in a locality with low taxes and services. Tiebout’s model contains a number of highly restrictive assumptions. One of these assumptions is that local expenditures could be financed via a head tax. 2 Subsequent authors have examined the implications of replacing Tiebout’s head tax with the more commonly observed property tax. This modeling change has led to the “benefit” view of the property tax. In this section, I discuss the benefit View of the property tax. This view argues that the property tax does not necessarily lead to inefficiencies. Hamilton (1976) argues for the benefit view of property taxation. He first notes that, in a system of communities that are homogeneous with respect to house values, the 2 Other assumptions in Tiebout’s model include: consumers are fully mobile; consumers have perfect knowledge concerning local revenues and expenditures; a large number of communities exists for consumers to choose among; there are no community based employment restrictions; there are no extemalities associated with local public service provision; and communities are sized so that they can produce services at the minimum of their average cost curve. 18 property tax can be seen as a system of average cost pricing for public services. Hamilton assumes in his analysis that all households in a community consume the same level of public services and place the same value on these services. Homogeneous communities can be achieved through a binding zoning requirement. That is, all households in a community are required to consume a minimum amount of housing services, the tax on which is exactly equal to the cost of providing public services to each household. No household has any incentive to consume more than the minimum level of housing services, because they would then be paying for more services than they receive (and would be better off in another community). If the zoning requirement is in fact binding and communities are homogeneous, public services are provided efficiently and the property tax is non-distortionary (the zoning requirement keeps households from adjusting their housing consumption in response to the tax). The binding zoning requirement has been strongly criticized by Zodrow and Mieszkowski (1983). They argue that these assumptions would turn any tax into a non- distortionary tax. The choice of tax instrument at the local level would become irrelevant with the appropriate zoning restrictions, as all taxes would become a non-distortionary fee for public service. Hamilton, however, extends his argument to communities that are not homogeneous. He argues that capitalization effects can lead to average-cost pricing for public services in non-homogeneous communities. In a neighborhood with inexpensive and expensive houses and no capitalization, residents of the inexpensive houses enjoy public services at a lower cost than their neighbors in the expensive housing. This makes living in a relatively inexpensive house desirable. Therefore, people will compete to live 19 in fiscally advantaged housing, driving up the price of such housing. Thus, inexpensive houses, although they have lower property taxes, sell for more due to the capitalization of the fiscal benefits. Likewise, housing that is relatively luxurious compared to other houses in the same community will sell at a discount. If differences in fiscal surpluses are fully capitalized, then there is no advantage to buying an inexpensive house in a rich neighborhood. The price of the inexpensive house is increased by the present discounted value of the difference between its taxes and service cost. This has potentially important implications. First, it means that property taxes do not lead to horizontal inequity. Everyone gets exactly the services that they pay for. Second, because people pay for exactly the services that they receive, they demand an efficient level of public services. For the property tax to be non-distortionary, however, it must also not distort housing decisions. Hamilton (1983) argues that the property tax can be converted into an efficient price for public services, if capitalization causes the following relationship to hold. 1) v + r = C(H) + C(LPS) The above equation states that efficiency requires that house value, V, plus taxes, T, must equal the cost of providing housing, C(H), plus the cost of providing local public services, C(LPS). If the above relationship is to hold, then fiscally advantaged housing, which has a higher value, must somehow cost more to produce. In Hamilton’s model (1976), fiscally 20 advantaged housing costs more to produce because its fiscal advantage is capitalized into land values. Inexpensive housing is built on land zoned for that purpose. This land, because it can be used for houses that will sell at a premium, sells for a higher price than other land in the community. Hamilton implicitly assumes that property taxes are fully capitalized into land values. He assumes that land is in fixed supply; therefore, the tax is not distortionary. This analysis would imply that land zoned for inexpensive housing in a heterogeneous community would sell for more than land zoned for more luxurious housing. Zoning ordinances are required to keep this land price differential in place. Otherwise, the amount of land used for inexpensive housing will increase and the land devoted to relatively expensive housing will decrease. If inexpensive housing is allowed to expand until the land for inexpensive housing and the land for relatively more expensive housing sells at the same price, households owning cheaper houses will pay less for their public services than households owning relatively expensive houses. Redistribution would occur through the provision of public services. Residents no longer get only what they pay for, and the outcome can no longer be expected to be efficient. Based on his analysis, Hamilton draws the following conclusions. First, with full capitalization, there is no horizontal inequity. Consumers get the services that they pay for. Second, efficient supplies of housing and public services exist when: land value is the same in all homogeneous (with respect to house value) communities; in mixed-value communities, land-value differentials exactly reflect the present value of fiscal surplus differentials; the mean value of land (per acre) is the same in all communities, regardless of their housing or service mix. Finally, the property tax generates an incentive for the 21 production of an inefficient amount of low—income housing. This incentive must be held in check through zoning restrictions for efficiency to be maintained. Hamilton cites some evidence that the above conditions may in fact hold. He argues (1976) that empirical studies have shown that land zoned for low-income housing does indeed sell at a premium. He also cites empirical studies (1983) that find a large degree of property tax capitalization. III. The New and Classical Views An alternative to the benefit view of property taxes is the “new” view. The new view of the property tax was developed by Procter Thomson (1965), Peter Mieszkowski (1972), and Henry Aaron (1975). The discussion of the new view of the property tax presented here is taken primarily from a review of the property tax literature by Mieszkowski and Zodrow (1989) and a discussion of the new view in Zodrow and Mieszkowski (1983). The new view of the property tax generally examines the property tax in a standard capital taxation framework. These models follow the Harberger (1962) approach to examining the taxation of capital. Harberger models generally assume perfect competition and that the overall capital stock in the nation is fixed. Additionally, the capital stock is assumed to be perfectly mobile within the nation, so that the after-tax return to capital in all sectors of the economy is the same. Housing is viewed as the output of a production process that combines land and capital in the production of housing services. These models examine the effects of a property tax in one or more sectors. Although the results vary somewhat depending on 22 the model specifications, they often produce the result that the capital portion of a uniform national property tax reduces the after-tax rate of return to all capital in the nation by the amount of the property tax. The property tax impacts other sectors in the economy because capital is perfectly mobile. When the property tax is imposed, it reduces the return to capital in the housing sector. Capital flows from the housing sector, increasing its pre-tax rate of return, into other sectors, reducing their rate of return. This continues until all sectors have the same after-tax return to capital. Capital generally bears the full brunt of taxation in these models, because it is assumed that the total capital stock is supplied inelastically. If the property tax were the only tax in the economy, it would have two effects. First, the property tax would result in an inefficiently low allocation of capital to the housing sector. Second, the overall rate of return to capital in the economy would be reduced. This rate reduction would have an effect on the long-run capital formation in the economy. This long-run effect is the subject of much debate in the literature and is beyond the scope of this analysis. Of course, there are other taxes on capital, most notably the corporate income tax. Gravelle (1994) argues that housing, especially owner-occupied housing, is taxed at a very low rate compared to other forms of capital. She cites studies that find that the preferential treatment of housing accounts for about half of the distortions arising from the misallocation of capital. Because of this, the property tax may actually help to correct the misallocation of resources resulting from the corporate income tax. The new view also has implications for the redistributional effects of the property tax. The property tax finances local public expenditures by reducing the rate of return of 23 capital in all sectors of the economy. This means that, for a uniform national property tax, capital owners bear the full burden of the tax on the capital portion of housing. Because capital tends to be concentrated in the hands of relatively wealthy individuals, the capital portion of the property tax is progressive. This result directly conflicts with Hamilton’s findings that no redistribution occurs through the property tax. The property tax, of course, is not uniform throughout the nation. Under the new view, tax differentials between communities (that is, differences between local tax rates and the national average tax rate) give rise to “excise” effects. A tax rate higher than the average will be either shifted forward into higher housing prices, or shified backward to a relatively immobile factor. Different models have different predictions as to the degree to which this will occur. The predictions of these models generally depend on the elasticity of substitution between land and capital in the production of housing, and assumptions concerning the mobility of consumers and the degree to which land is in fixed supply. For example, consider property that rents for $100 per year. If the discount rate is 10 percent, and we assume the asset is infinitely lived, the present discounted value of this property, in the absence of taxation, is $1000. If we impose a property tax of $10 per year and residents are completely immobile, we might see the tax fully forward shifted to renters. This means that the cost of renting this property would rise to $110 and the value of the property would remain unchanged. If renters are fully mobile, however, we might see the tax fully backward shifted into the property’s price. Backward shifting means that the property still rents for $100, but now the owner must pay $10 in tax. The net return is $90 per year reducing the present discounted value of the property to $900. In the case of full backward shifting of the tax, we say that the tax has been fully capitalized. 24 The predictions of the new view models are based on the assumptions made concerning various parameter values. For example, Hobson (1986) finds that the degree of property tax shifting depends in part on the relative sizes of the elasticity of substitution between housing and other consumption goods, and elasticity of substitution in housing production, as well as the mobility of the resident population.’ In their review of the property tax literature, Mieszkowski and Zodrow (1989) argue that the new view is a more general case of the “classical” view of the property tax. The classical view (Simon 1943, Netzer 1966) examines the property tax in a single jurisdiction. This view argues that, since capital is perfectly mobile, it bears none of the burden of the property tax. The capital portion of the property tax is assumed to be entirely forward shifted in the form of higher housing prices, and the land portion is assumed to be borne entirely by landowners because land is assumed to be inelastic in supply. Under this View, the property tax is much more regressive than under the new view, because a much higher proportion is borne by renters. Mieszkowski and Zodrow argue that the classical view focuses exclusively on the excise effects portion of the property tax. This arises because the classical view uses a partial rather than a general equilibrium model. The full forward shitting found in the classical view is just a special case of the possible results predicted by the new view. Although the overall rate of return on capital appears unchanged in the classical view, Mieszkowski and Zodrow argue that it is in fact reduced by an infinitesimal amount. This reduction occurs because the higher property tax rate in the metropolitan region 3 The description of Hobson’s results are taken from Mieszkowski and Zodrow (1989). 25 reduces the national average by a small amount. This infinitesimal change multiplied by the entire capital stock of the nation is in fact large relative to the revenue raised by the tax. Mieszkowski and Zodrow argue that, under the new view, there is a tendency towards under-provision of local public services. This occurs because local jurisdictions are reluctant to tax mobile capital. Additionally, local jurisdictions do not take into account the possible extemalities associated with taxing mobile capital. Capital that flees a jurisdiction to escape a local property tax benefits other jurisdictions. This reduces the overall cost of taxing mobile capital in a way not taken into account by the taxing jurisdiction. Again, they find that these results are sensitive to model specification. IV. Yinger’s Theory of Capitalization Yinger (1982) develops a model in which he derives a household’s bid for housing. He argues that the amount a household is willing to pay for a unit of housing services, in a particular jurisdiction, is based on the jurisdiction’s level of services and taxes. Therefore, a household’s bid for housing services can be written as P = P(E,t), where E is the level of local public services per household and t is the effective property tax rate. The value of a house to a given household can be written as 2) V(E, t) = P(E,t)H/r 26 where H is the total amount of housing units consumed and r is the discount rate.4 Household utility is assumed to be a function of housing services, the level of local public services, and a composite private good, Z. The household is assumed to maximize this utility function subject to its budget constraint. In deriving the first-order conditions, Yinger assumes that the household is choosing Z, H, E, and t. The amount a household is willing to bid for housing, P(E,t), is derived by solving for P from the first- order conditions of the utility maximization problem. Solving for P(E,t) requires solving two first-order differential equations, and requires the assumption of a specific utility function. Additionally, the solution to P(E,t) contains a constant of integration. I discuss the method of solving for this constant shortly. If a Cobb Douglas utility function of the form, U = c,ln(Z) + c21n(H) + c3ln(E), is assumed, and if housing services are assumed to be a multiplicative function of housing characteristics, XI to XM, the value of housing can be expressed in the following form:5 3) ln(V) = ln(v) + (c3/c2)ln(E) - ln(r + t) + 2a,ln(X,.) Based on this derivation, Yinger draws a number of conclusions. First, differences in service levels between jurisdictions will be inexactly capitalized. The " Note that this formula implicitly assumes an infinite lifetime for housing. Given the long expected lifetime of housing, Yinger argues that this should be a close approximation to the actual present discounted value. 5 Yinger (1982) derives equation (3) in part by solving a differential equation. The v term represents the constant of integration. 27 degree of capitalization will be based on taste parameters in the utility function. Second, because there are no taste parameters on the tax term in the value equation, differences in tax rates between communities will be exactly capitalized-— regardless of the tastes of consumers. Interestingly, Yinger also claims that his results imply that homogeneous communities can be formed without zoning barriers. If PE, the derivative of the bid for housing with respect to services, increases with income, Yinger argues that high-income households will outbid low-income households for housing in high-service jurisdictions, so that zoning barriers are not required to sustain the mean property tax base. This conclusion, however, does not follow from Yinger’s model. If the amount of housing required to enter a community were fixed, as in a zoning requirement, then it is true that rich households would outbid poor households. Yinger’s model does not impose this restriction, however. Households are free to choose the level of housing they consume. Rich and poor households would probably select very different levels of housing, given a tax and service package. The assertion that the rich will bid more for one unit of housing is not relevant, since households will consume different amounts of housing. Yinger’s model does not prevent the conclusion that poor families will try to consume a small amount of housing in a high-service jurisdiction. Yinger recognizes that if the price for housing is different in different jurisdictions, suppliers will have an incentive to supply houses to jurisdictions with high house values. But Yinger concludes: “...the supply of land within a jurisdiction is fixed, so the conversion of nonresidential land into residential land cannot continue indefinitely. Once all profitable conversion has occurred--that is, in long-run equilibrium-- 28 local fiscal variables will be capitalized into house values.” (1982,p.935) Developers will not simply continue to add new jurisdictions, because there are other factors affecting house values besides the service/tax package. Expanding further from the city center will cause the price households are willing to pay for housing services to fall, ceteris paribus. This is due to the increase in commuting costs for residents in more distantly located suburbs. Profits for housing developers will fall as they continue to develop further and further from the city center." Yinger specifies an equilibrium condition for determining the furthest point of community expansion. At the furthest point of expansion, the price of housing is exactly equal to the opportunity cost of resources used in production. The price of housing in this jurisdiction, along with the tax and service level, can be used to solve for the constant of integration in Yinger’s housing bid model. Yinger (1985) argues that the property tax in this base jurisdiction is distortionary with respect to housing consumption decisions. Variations from this base tax rate, however, are not. These variations will be perfectly capitalized into housing values. Therefore, relatively high property tax rates in one jurisdiction will not repel capital, since the rate will be fully capitalized into immobile factors. ° Yinger notes that some models of capitalization use flexible boundaries for communities, leading to communities with the most favorable tax and service packages expanding into the territories of less favorable communities. However, he argues that in practice community annexation is relatively rare and community boundaries seldom change. 29 Yinger’s conclusions differ from those of the new view in that, in Yinger’s model, it is the average tax rate in the metropolitan area that is distortionary. In the new view, it is the average tax rate on capital in the nation that variations are measured against. Mieszkowski and Zodrow (1983) have argued that Yinger’s model is in fact consistent with the new view. Unlike the new view models, Yinger does not explicitly model housing production. Agents are choosing a level of housing services that are presumably made up of land and capital; but he does not explicitly model this. The baseline tax rate distorts the housing decision; since the capital/land components are not explicitly modeled, there is no prediction as to the effect on the overall return to capital. Yinger does argue that deviations from the baseline tax rate (equivalent to the excise effects of the new view) are completely capitalized. The new view writers are more agnostic about the excise effects. In the new view, these effects generally depend on the model parameters-especially assumptions concerning resident mobility. V. Predictions for Michigan The economic theory of property taxes does not have clear implications for the effects of Michigan’s property tax cuts. Different theories of the property tax reach very different conclusions. For example, the benefit view sees the property tax as a non- distortionary fee for public services; the new view sees the property tax as a distortionary tax on capital that is somewhat progressive; and the classical view sees the property tax as being somewhat regressive. The new view focuses on the average rate of property (or capital) taxation in the nation. Courant (1982) has argued that, because Michigan only represents about four 30 percent of the US. economy, the general equilibrium effects can safely be ignored when examining Michigan’s property tax. Therefore, the relevant effects of the Michigan property tax cuts depend on the partial equilibrium or “excise” effects. Yinger argues that only a “base” community’s tax rate will lead to a distortion, and all deviations from the base in a metropolitan area will be capitalized. The new view argues that the national average tax rate on capital is the comparison base, and is somewhat more agnostic in predicting the effects of deviations from this average rate. The effect of Michigan’s property tax out under the new View depends in part on the elasticities in the production and consumption of housing. The property tax theories do not have clear predictions for the effects of Michigan’s school reforms. Residents who live in owner-occupied housing will clearly receive a benefit in the form of lower annual taxes. What is less clear is the extent to which the reduced taxes will be capitalized into the values of their houses. If the benefits of reduced taxes are capitalized into house values, house owners will receive a capital gain on their houses. Future buyers will receive a smaller benefit from the lower taxes, because they will have to pay higher prices for their houses. For renters, the incidence is harder to predict theoretically. With mobile capital, renters were bearing the portion of the property tax that was shifted forward. A property tax cut should relieve them of this burden. Land owners will benefit from a reduction in the tax, if part of the tax had been shifted into the value of land. Renters may also benefit from a reduction in the price of owner-occupied housing. Renters who were on the margin between renting and buying a house, or who planned to buy a house in the future, 31 will benefit from any reduction in the annual cost of owning a home. The extent of these benefits cannot be determined by theory and needs to be investigated empirically. Chapter 3 EMPIRICAL CAPITALIZATION LITERATURE I. Introduction This chapter reviews the empirical literature on capitalization. The approaches taken by other authors, their major findings, and some criticisms of the earlier studies are all discussed in this chapter. This chapter draws heavily on Bloom, Ladd, and Yinger (1983), and Yinger et a1. (1988). These works provide an excellent review of the large number of empirical studies in this area. They also discuss some of the major obstacles associated with estimating the degree of property tax capitalization. This chapter is divided into three sections. The next section discusses the methodology and results of some of the major capitalization studies. Rather than trying to list all of the studies that have been done on capitalization, this section focuses on listing some of the more important works in this area. The final section discusses opportunities for estimating the degree of property tax capitalization in Michigan. 32 33 II. Previous Empirical Work' This section discusses some of the findings of previous authors. The authors discussed in this section are primarily interested in discovering the degree to which property tax differentials are capitalized into the price of houses. As discussed in the chapter on property tax theory, the property tax has two effects. First, the average level of property taxes in a metropolitan area (or a nation, depending on the theory) is expected to distort the housing decision. This average level of taxation may change the amount of capital or land used in housing, and in addition, some portion of the tax may be capitalized into the price of houses. The second effect results from differences in the property tax rates on houses within a metropolitan area. These differences can either be interjurisdictional, resulting from different tax rates levied in neighboring communities, or intrajurisdictional, resulting from different tax rates levied on houses within a community as a result of assessment practices. As discussed in the previous chapter, the property tax theories are not in agreement as to the degree to which property taxes are capitalized. The new view approach generally models property taxation in a general equilibrirun framework similar to the one used by Harberger (1962). The degree of capitalization predicted by the new ' Note that many of the problems with the studies noted here have also been identified and discussed by Yinger et al. (1988). 34 view depends on assumptions concerning factor mobility, and the elasticities of substitution between capital and land.2 An alternative approach is the one followed by Yinger (1982, 1985). Yinger uses an urban model with a central business district. This model predicts that tax differentials between communities will be fully capitalized. The model also predicts the full capitalization of tax differences resulting from assessment errors. These models generally assume complete information. That is, the models assume that agents have complete knowledge of both the current tax rates and of what the future path of tax rates will be. Of course in practice, complete information is unlikely. In their study of intrajurisdictional capitalization in Massachusetts, Yinger et al. (1988) find substantially less than full capitalization. They argue that uncertainty surrounding the likely persistence of tax differentials in the communities they study reduces the degree of capitalization. The studies discussed in this chapter focus on estimating the capitalization of tax differentials between communities, rather than estimating the effect of the average tax rate on property values. There is generally little or no sample variation in the average tax rate, making it difficult to measure the effect of the average tax rate on housing prices.3 Capitalization studies are generally interested in measuring the degree to which property tax differences are capitalized. A property tax differential is said to be fully capitalized, if the difference in price between two otherwise identical properties is equal 2 These theories are discussed in the previous chapter. For a more in depth discussion see Mieszkowski and Zodrow (1989). 3 For an exception that does focus on the average tax rate see Wassmer (1993). 35 to the present discounted value (PDV) of the tax differential. The price differential between two properties can usually be observed. Measurements of the PDV of this differential, however, cannot. The PDV is calculated from the price differential using two parameters, the discount rate and the time horizon. The discount rate and the time horizon must be chosen by the researcher and the choices have varied greatly.4 Assumptions concerning the discount rate and time horizon can have a large effect on the interpretation of the capitalization results. For example, King (1977) assumes a discount rate of 5 percent and a time horizon of 40 years and states that 67 percent of property tax differentials are capitalized. Yinger et al. (1988) recalculate the degree of capitalization in King’s study using their preferred parameters of a 3 percent discount rate and an infinite housing life, and find the degree of capitalization to be just 36 percent. Therefore, any estimates of the degree of capitalization will be sensitive to the parameter choices. Yinger et al. (198 8) recalculate the capitalization findings for many of the studies discussed below assuming a 3 percent real discount rate and an infinite housing life. This convention is followed for the remainder of this chapter so that the results of the different authors can be easily compared. The assumption of a 3 percent discount rate and infinite housing life are rather conservative. The effect of varying these parameters on the capitalization estimates is discussed in greater detail in the next chapter. " An exception to this approach is the one taken by Do and Sirmans (1994). They begin by assuming full capitalization and a 25 year time horizon and then estimate the discount rate to be 4 percent. Of course, their estimate of the discount rate relies on the strong assumption of full capitalization. 36 The capitalization studies can be divided into three broad categories. First, there are “aggregate studies” which use aggregated house price and tax figures such as the median house price and tax rate for a community. This aggregate figure is often used in cases where more detailed housing information is not available. Second, there are “micro” studies that use individual houses as observations. These two types of studies reflect a trade-off in the types of data that are available. The aggregate studies generally contain a large number of communities, so that there is a large amount of sample variation in the tax rate. However, these studies use an aggregated house value measure that is of lower quality for estimating purposes than individual house observations. Micro studies tend to have a higher quality dependent variable-«the actual sales price of individual houses. These studies, however, tend to involve fewer communities so there is less variation in the tax rate. Many micro studies look at only one community and focus on intrajurisdictional capitalization. Finally, there are studies that take advantage of large scale policy changes, which often serve as “natural” capitalization experiments. These studies have been performed using both aggregated data and individual house observations. Aggregate Studies Perhaps the seminal capitalization is study is Oates (1969). Oates uses 1960 census data to study 53 municipalities in northeastern New Jersey. Oates regresses the median value of owner-occupied houses in each community on the effective property tax rate, the annual expenditure per student in the public schools, and a number of additional control variables including: the median number of rooms per house; a proxy for the age of the housing stock; the distance of the community’s center from Manhattan; and the 37 number of poor families in the community. He finds that a higher tax rate depresses house prices and that increased school spending increases the price of housing. Using a discount rate of 5 percent and a 40 year time horizon, Oates finds that tax differentials are fully capitalized. Under a 3 percent discount rate and an infinite house life, the capitalization percentage is 61 percent. Oates recognizes that the tax rate term in his regression may be endogenous. Capitalization theory assumes that higher tax rates lead to lower housing prices. However, a community with relatively low housing values needs a relatively high tax rate to fund a given service level. Therefore, it is difficult to determine the direction of causation between tax rates and housing values. This problem is fundamental to this literature. For a study to credibly state that it has measured the effect of higher taxes on property values, it must first convincingly show that it is measuring capitalization and not the fact that property poor communities need high tax rates to fund services. The same problem is present in reverse when measuring the effects of public expenditures. To correct for the endogeneity of the tax and expenditure terms, Oates uses two-stage least squares (ZSLS). To correctly perform ZSLS, Oates needs variables that are correlated with the tax and expenditure terms, but do not in part determine house prices. Some of the instruments Oates uses include: the median years of school completed by adult males; the population density; the percentage change in population between 1950 and 1960; the percentage of the population enrolled in K-12 schooling; and the value of commercial property per resident. It is possible that the value of all of these instruments has some impact on the price of housing in a neighborhood. Therefore, they might not be suitable instruments. In fact, the coefficient on the tax term in Oates’s 2SLS 38 regression is the same as the coefficient on the tax term in the ordinary least squares regression, suggesting that if there is an endogeneity problem, the ZSLS estimation does not completely fix it. Several subsequent authors attempt to improve upon Oates’s work. King (1977) suggests that Oates mis-specifies the tax term in his regression. The dependent variable in Oates’s study is the house price and the tax term used is the tax rate. King argues that ww- if the house price is the dependent variable then the tax payment should be used as the independent variable; because for a given tax rate increase, the dollar effect will be larger on a higher priced house. Therefore, Oates’s specification understates the capitalization for high value houses and overstates it for low value houses. King finds that correcting this specification error reduces the capitalization found with Oates sample. With a 3 percent discount rate and infinite house life, Kings capitalization estimate is 36 percent, an estimate 41 percent lower than Oates’s finding. Rosen and Fullerton argue that per-student spending is not a good control for service quality. They also use Oates’s sample to estimate capitalization after replacing per-student spending with 4th grade student test scores. They find the capitalization rate to be slightly lower than Oates (58 percent with a 3 percent discount rate and infinite house life). However, their study contains the tax rate specification error identified by King. Several authors have attempted to use simultaneous equation systems when estimating the degree of capitalization. Gronberg (1979) uses a six-equation model, with separate equations included for the tax rate and public service expenditure. Using a sample consisting of census data on 83 Chicago suburbs in 1970, Gronberg finds that 39 property tax differentials are not capitalized into house values. Dusansky, Ingber, and Karatjas (1981) also use a simultaneous equation model. They examine 62 communities in Long Island, NY using census data. This study also attempts to model and measure the interaction between the rental price of apartments and housing prices. Their estimate of the capitalization rate, assuming a 3 percent real discount rate and infinite house life, is 22 percent. The studies using aggregated data all tend to have similar shortcomings. They often use some form of the median or mean house price as the dependent variable. It is not clear how well these average price figures predict the experience of individual houses. These studies generally rely on census data, where the house price reflects the house owner’s guess as to what the property is worth. It is possible that owner house price predictions are not very accurate. These studies also run a large risk of omitted variable bias. The median house price in a community is a function of many variables, yet these studies often use only a handful of controls. Finally, these studies generally do not convincingly handle the endogeneity problem. It is difficult to find variables that are potentially correlated with the tax rate but not the price of housing. Therefore, with many of these studies, the possibility that the estimates of tax capitalization are inconsistent remains. Micro Estimates Krantz, Weaver, and Alter (1982) look at 243 single-family owner-occupied homes which were sold in 6 Pennsylvania cities and their surrounding suburbs in 1979. The data were gathered from Multiple Listing Service Records. They find the 40 capitalization rate to be 20 percent (using a 3 percent real discount rate and infinite housing life). One important aspect of this study is that, unlike the other studies discussed in this chapter, Krantz, Weaver, and Alter do not attempt to correct for the simultaneity of the tax variable. They argue that property taxes will adjust slowly to changes in a community’s property values. Therefore, property taxes and house values are not simultaneously determined and ordinary least squares can be used to estimate capitalization. However, the authors provide no evidence to suggest that they are looking at a long run equilibrium, where tax rates have fully adjusted to property values. Therefore, the results of this study should be viewed with some skepticism. Lea (1982) uses a simultaneous equation model to estimate capitalization. Lea looks at 680 households from the Panel Study of Income Dynamics. Observations from the 1968 survey are merged with local tax and expenditure data for cities and counties in which the families are located. Lea finds the capitalization rate to be 26 percent. Unfortunately, for survey confidentiality reasons, Lea was unable to determine the actual municipality in which his households reside. Instead he only knows the county in which the houses are located. Therefore, he uses average tax and expenditure data for the county in which the household resides. Lea’s study may be more appropriate for estimating the effects of the average tax rate in an area than for estimating the effects of tax rate differentials. Richardson and Thalheimer (1981) examine 861 house sales in Fayette County, Kentucky in 1973 and 1974. These house sales occur in two bordering municipalities that share a school district but have different property tax rates. Richardson and 41 Thalheimer argue that there are few differences in other municipal services between the communities. They find the capitalization rate to be 15 percent (assuming a 3 percent real discount rate and infinite house life). The micro studies are free from some of the problems of the aggregate studies. The observations are individual houses; therefore, the estimates are free from potential aggregation problems. These studies also tend to have more control variables for both housing and neighborhood characteristics. Therefore, omitted variable bias is less of a concern. Some of these studies use actual sales prices rather than owner estimates of the value, eliminating one more potential source of error. These studies, however, still must contend with the endogeneity issue and face many of the same challenges here as the aggregate studies. Natural Experiments As noted, the most difficult problem encountered by researchers studying capitalization is the potential simultaneity between tax rates and house values. Several authors have exploited particular policy changes to avoid this problem. State-wide property tax reforms can be treated as exogenous to the local communities. Therefore, by examining the change in property values that results from such a tax change, the degree of capitalization can be measured without the usual endogeneity problems. Rosen (1982) examines the effects of California’s Proposition 13 on house prices. Proposition 13 was approved by California voters in 1978. The proposition stated that the annual tax rate on real property could not exceed 1 percent of the cash value of the property. The cash value of the property was defined as the county assessor’s evaluation of the property’s value as stated on the 1975-76 tax bill. For property sold after this year, 42 the cash value was defined as the market price. Assessment increases were capped at 2 percent per year, with properties reassessed to market value upon sale. Rosen argues that because of initial state bailouts supporting local public expenditures, Proposition 13 had little effect on service levels in the short run. Rosen regresses the change in a community’s average house sales price on the change in a communities average tax payment and a number of other regressors. His sample consists of 64 communities in the San Francisco Bay Area in the years 1978-79. He finds the capitalization rate to be 22 percent (with a 3 percent real discount rate and infinite housing life). Gabriel (1981) examines the effect of Proposition 13 on the average sales price of houses in the San Francisco Bay Area over the same time period as Rosen. He finds the capitalization rate to be somewhat higher than Rosen (36 percent). Given that Gabriel and Rosen examine the same geographic area over the same time period the large difference in their results is troubling. The divergence of the estimates is most likely due to a specification difference between the two studies. Gabriel suppresses the constant term in his regression, while Rosen does not. The regressions in both studies have the difference in average sales price of houses as the dependent variable, and the difference in annual tax payments as an independent variable. Including a constant term in the regression would capture any differences in the overall price level for housing in the estimating region. Because he suppresses the constant term, Gabriel’s tax term is 43 probably capturing some of the effects of the change in the average tax rate.5 Therefore, the two studies are not measuring the same thing. A similar large scale tax change is exploited by Yinger et al. (1988). They examine the effects of court-ordered property revaluation in Massachusetts in the early 19708. They examine individual home sales before and after revaluation. Their study focuses on the degree of intrajurisdictional property tax capitalization. Their preferred estimate is 21 percent in one community and 15.8 percent in another. They conclude that the degree of intrajurisdictional capitalization is likely to vary by community. However, their model predicts that intrajurisdictional capitalization should be complete. They argue that their estimates fall sharply below this level because of uncertainty surrounding the reforms. They note, however, that they do not have evidence to support this assertion. Despite the large number of studies examining capitalization, there is no consensus as to the degree to which tax differentials are capitalized. It is possible that the degree of capitalization is not constant across geographic areas. Areas that are more fully developed may have a higher rate of capitalization, because the supply of housing (or land) is more inelastic. It is impossible to know if the differences in capitalization findings are due to different capitalization rates or flaws in the empirical work. ’ It does not appear that Gabriel is deliberately trying to measure the effects of the average tax rate change. In addition, the tax term in Gabriel’s regressions may also be capturing any secular increase in the demand for housing that occurred over the sample period. 44 III. Opportunities in Michigan The recent property tax reforms in Michigan present a unique opportunity to estimate property tax capitalization. As discussed in the chapter on Michigan’s reforms, Michigan reduced its reliance on the local property tax as a means of funding K-12 public schools, replacing lost revenues with increases in other taxes. All Michigan school districts saw substantial property tax cuts on owner-occupied housing. However, the size of the reduction varied by district. The new property tax rate was set by the state government. Therefore, the change in property taxes was exogenous, with respect to the local communities. Michigan also changed the amount of dollars available per pupil for each of its school districts. Again, the spending amount was set by the state government. Therefore, the school Spending change was also exogenous, with respect to the local communities. The circumstances surrounding Michigan’s reforms may have prevented most taxpayers from anticipating the change. Therefore, Michigan’s reforms present an excellent opportunity to study capitalization. Chapter 4 CAPITALIZATION ESTIMATES I. Introduction The effects of inter-community tax and spending differentials on house prices is of some importance in the study of local public finance. The capitalization rate has implications for the efficiency and redistributive aspects of using a local property tax to fund local public services. Michigan’s recent school finance reforms created a natural experiment in that property tax rates and service levels were both changed substantially in a way that was exogenous to local communities. In this chapter, I use Michigan’s experience to generate new estimates of the effects of interjurisdictional differences in property taxes and spending levels on house prices. Property taxes can affect house prices in two ways. First, the average level of property taxation can depress house values in a metropolitan region.1 Second, deviations from the average rate of taxation can be capitalized into house prices. If tax differentials between communities are capitalized, a community that taxes property at a higher rate will have lower property values, all others things constant. This type of capitalization is ‘ Yinger (1982) argues that it is the tax rate of a base-line community, rather than the average tax rate that is important. Mieszkowski and Zodrow (1989) argue that it is the average level of property taxation in the nation that is important. These distinctions are unimportant for the discussion that follows. 45 46 known as interjurisdictional capitalization. Full capitalization of a property tax differential is defined as the case where the price of two otherwise identical properties differs by the present discounted value of the tax stream differential between the properties. If a property tax change is fully capitalized, homeowners cannot move to escape the tax. Likewise, if fiscal differentials are not fully capitalized, residents may switch communities in an effort to benefit from a more desirable tax and service combination. Similarly, if fiscal differentials are not fully capitalized, people may try to construct relatively low cost housing in high service communities in order to benefit from the high service level without paying for the full cost of the services. Incomplete capitalization of fiscal differentials could be one factor contributing to suburban sprawl if richer residents continually move to escape service “free riders.” Michigan’s reforms lowered the average tax rate and changed each community’s difference from the average. Therefore, these reforms should have had two effects. First, the overall sales price of housing should have increased as a result of the reduction in the average tax rate (assuming, of course, that the average property tax rate does affect house values). Second, each community’s property values should have changed differently, depending on the relative tax change and spending in the community. If tax differentials are capitalized, communities with larger tax changes should have seen their property values go up more than communities that received smaller tax changes. Likewise, communities with larger service increases will see their property values go up more than communities that received smaller service increases. 47 I estimate the effects of the policy change using two samples. One sample consists of individual houses that sold both before and after the reforms. The second sample consists of observations of the mean house sales price, tax rate, and amount of school spending for a number of communities within a metropolitan area. With the dual- sales sample, estimates of the effects of a $1.00 property tax differential on house prices range from $4.25 to $5.20. I find that a $100 increase in per-pupil school spending raises house prices by 0.4 to 0.5 percent on average. Using the mean-sales-price sample, I find that a $1.00 differential in the property tax payment on the average house causes a $9.93 difference in the average house price. For the mean-sales-price sample, the estimate of the effect of the change in school spending is not statistically significant. In addition, I find that the average house sales price increased greatly after Michigan’s reforms. It is possible that this increase was due to the reduction in the average tax rate, although economic growth may also be factor. Much of the increase in the average sales price of houses in rural areas appears to be the result of the construction of relatively expensive houses in these areas. The remainder of this chapter is divided into five sections: The next section briefly discusses Michigan’s reforms; Section 111 contains the capitalization model used to generate the estimates; Section IV contains the estimates generated using the mean sales price data; Section V contains the estimates generated using the individual sales data; and section VI contains concluding remarks. II. Michigan’s Reforms In 1994, Michigan profoundly changed the way it finances its public schools. The property tax share of school operating revenues was reduced from 66 percent in 1993-94 48 to 32 percent in 1994-95. The property tax revenues were replaced primarily with an increase in the state sales tax from 4 percent to 6 percent.2 Michigan also changed the way it allocates revenues to school districts, switching from a district power-equalization method to a foundation grant approach.’ Prior to 1994-95, the variation in school district property tax rates was large, ranging in 1993-94 from 8 mills to 47 mills.4 There was also a wide variance across districts in per-pupil spending, ranging from a high of $10,141 per-pupil to a low of $3,173 per-pupil. The higher school taxes were not always in the districts with the higher spending amounts. In fact, the average millage rate for the 10 lowest-spending districts (per pupil) in Michigan in 1993 was 30.14 mills, while the average millage rate for the 10 highest-spending districts was only 26.08 mills.5 As part of the 1994 reforms, Michigan removed much of the authority local districts previously had in making funding decisions. Funding decisions are now made primarily at the state level. The role of the local property tax as a revenue source was also greatly reduced, and lost revenues were replaced with an increase in the state sales tax and a conversion of part of the local property tax into a state property tax. Districts spending below $6500 per-pupil in 1993 had their owner-occupied housing property tax 2 See Kearney (1994) for a detailed description of the Michigan reforms. 3 For a discussion of these two funding approaches, see Reschovsky (1994). ‘ A mill represents a $1 .00 tax for every $1000 in taxable property value. Michigan property is assessed at 50 percent of its cash value so that a 1 mill tax on property with a cash value of $1000 would raise $0.50 in revenue (if the property were correctly assessed at $500). 5 Source: Michigan State Board of Education Bulletin 1014. 49 rate for school operations reduced to 6 mills.6 Districts spending above $6500 were allowed to maintain their higher spending levels if they levied an additional “hold harmless” millage. School districts spending below $4200 per-pupil in the 1993-94 school year were moved up to $4200 in the 1994-95 school year. Districts spending above $4200 and below $6500 were increased from their 1993-94 levels according to a sliding scale, with higher-spending districts getting a smaller percentage increase. Districts spending above $6500 per-pupil were allowed to increase their school spending by $160 per pupil in the 1994-95 school year. Future increases in funding depend on the grth of state tax revenues, with previously low-spending districts expected to get a larger percentage increase each year than the previously hi gh-spending districts. Michigan’s reforms provide an excellent opportunity to assess the effects of property taxes and school spending on home values. The tax and spending changes were large and exogenous (at least initially) to the local communities. The changes were most likely not anticipated by most homeowners. Governor Engler had campaigned in 1990 with a promise to reduce property taxes. However, Michigan voters had a long history of rejecting school finance reform proposals, rejecting all 12 that were presented to them between 1972 and 1994, including the first three presented during the Engler administration. Table 4.1 contains a summary of the events leading up to Michigan’s reforms. k 6 Actual school millages in some of these districts will be higher because school districts also levy taxes to make payments to retire debts. The school districts remained responsible for their own debts. 50 To measure the degree to which these tax and spending changes were capitalized, I examine home sales in Oakland County, Michigan. Oakland County covers 910 square miles immediately north of the city of Detroit. It has several characteristics that make it an attractive location for estimation purposes. First, it has a large population, consisting of just over one million people in 1990, divided among 410,000 households. Second, it is an area of relatively high incomes. Oakland County advertises itself as the “third most affluent county on the map.” This affluence translates into a high degree of home- ownership, with 73 percent of households living in owner-occupied housing in 1990. Finally, it consists of a large number of municipalities (61), none of which had more than 75,000 people in 1990.7 Figure 4.1 shows the growth in the real average sales price of houses in Oakland County from 1990 through 1996.8 Oakland County averaged 20,000 house sales per year during this period. Michigan’s reforms took place at the end of 1993 and the beginning of 1994. Figure 4.1 shows substantial grth in sales prices after the reforms. To get a more detailed picture of prices changes in Oakland County, I divide the county into three regions: urban; semi-urban; and rural. I define urban areas as those 7 Data from 1990 census and Oakland County promotional literature. Note the number of school districts is substantially less than the number of municipalities but the effective tax rate will depend on the assessment ratio which varies by local municipality as well as on the statutory millage rate. 8 The houses used in this graph are houses that were zoned as either “residential improved" or “suburban inrproved.” These two zoning categories are made up almost entirely of single family dwellings. Commercial properties, condominiums, and lakefront property have different zoning classifications and are not present in this sample. 51 communities with less than 20 percent of their land available for development. Semi- urban areas are defined as those communities with between 20 and 50 percent of their land available, and rural areas are those areas with more than 50 percent of their land available for development.’ The urban and semi-urban areas account for approximately 40 percent of the sales each. The remaining 20 percent of the sales occurred in the rural areas. The growth trend for all three regions is depicted in Figure 4.2. All three regions experienced little growth in prices before the reforms. After the reforms, all three regions show a substantial increase in average sales price, with rural areas experiencing the largest increase. Of course, there is no way to be certain how much of this price growth occurred because of the reforms and how much was due to other factors, such as economic growth. The unemployment rate of the Detroit MSA, of which Oakland County is a part, fell dramatically over this period. From a high of 10.2 percent in the first quarter of 1991 , the unemployment rate fell steadily to a low of 3.8 percent in the fourth quarter of 1996.10 While the economic expansion began in 1992, property values did not start to rise substantially in Oakland County until 1994. Although this rise in property values closely matches the implementation of Michigan’s reforms, it is possible that the rise was a result 9 The percentage of land available was calculated using data from the Southeast Michigan Council of Governments (SEMCOG) Community Profiles. Any land falling into the categories of agricultural, or woodland/grassland/wetland was considered available. 1° Source: Michigan '3 Labor Market News various issues. (published by The Michigan Employment Security Agency) 52 of the continued economic expansion in the Detroit area. Therefore, while the data are suggestive they are inconclusive. Figure 4.3 shows the changes in school spending between 1990 and 1995 for the three regions. Figure 4.4 shows the changes in the average school millage rate. These figures show that Oakland County residents saw an increase in school funding and a dramatic reduction in property taxes due to the reforms. Each school district in Oakland County experienced a different tax and spending change. I use the differential effect of these changes on the prices of houses in these school districts to estimate the degree of capitalization. III. The Econometric Model Capitalization of the property tax means that changes in the tax payment stream over time affect house prices. In this chapter, I follow the capitalization model as defined in Yinger (1982) and Yinger et al. (1988). These papers demonstrate that the capitalization equation can be derived from an asset pricing model or from a utility maximizing model. I follow the asset pricing approach here because the derivation is simpler. N R(a,E) ‘i T (I) V : n=l (1 +1.)" n=l(1+i)n Following the notation of Yinger et al. (1988), equation (1) states that the value of a house, V, is equal the present value of the rental stream of service it generates, R(a,E), 53 where i is the real discount rate and N is the house life. T represents the annual tax payment on the house. The annual rental price of the house, R, is a function of the amenities of the house, a, and the level of government services in the community, E. The house amenities are assumed to include both house and community features. House features include characteristics such as the house size and square footage, and community features include the house’s distance from parks and highways, and such quality-of-life issues as pollution and crime. In generating my estimates, I assume that or remains constant over the period of estimation.‘1 " To be more specific, the rental price of housing is a function of a, E, and the average tax rate, and overall real housing price level in the community. Assuming an infinite house life, we can write equation (1) as (a) iV=R(a.E.P,r)-(T-I) where P is the real housing price level and ris the baseline or average tax level, T is the tax payment on the individual house and all other variables are as defined in the text. Equation (a) indicates that differences in house prices across communities are in part due to how the communities tax rate differs from the average tax rate. I can then rewrite equation (a) as (b) iV=(R(a'. E, P, r)- z)-T and then (c) iV=R’(a, E, P, z) -T where R has been redefined to include the additional baseline tax term. P and rare omitted from equation (1) in the text because they are constant across all housing observations in my samples. Therefore, they are not individually estimated; but, are instead subsumed into the year dummy variables in the regressions. 54 Equation (1) assumes that home values are reduced by the full present value of the stream of future tax payments. Equation (2) shows the formulation if tax capitalization is less than full. (2) V: N R(a,E)_‘ZV: flT "=1 (1 + l')" n=l(1+i)n A ,6 of 0.5, for example, indicates that 50 percent of the tax differential is capitalized. F ifty-percent capitalization implies that a tax increase would reduce house values by 50 percent of the present value of the tax increase. Estimates of ,6 are going to be highly dependent on assumptions concerning the relevant house life and discount rate. To make my results comparable with Yinger et al., I follow their assumptions of an infinite home life and a 3 percent real discount rate. Under these assumptions, full capitalization implies that a permanent $1.00 change in annual property taxes in a district, holding taxes and spending in all other districts constant, would change house prices by $33.33. Alternatively, Oates (1969) assumes a house life of 40 years and a 5 percent discount rate. A $1 .00 tax change would be said to be fully capitalized under these assumptions if it changed the house price by $17.16. Therefore, the assumptions of a 3 percent discount rate and infinite house life represent will produce a more conservative estimate of the degree of capitalization. Assumptions concerning the real discount rate and house life have little effect on the regression estimates other than scaling them. Of course, the dollar change in property 55 values that actually occurred does not depend on assumptions regarding the discount rate or housing life. What these assumptions do affect is the interpretation of the results. The dollar amount that represents full (100 percent) capitalization decreases with the assumed discount rate and increases with the assumed house life. A summary of the dollar totals representing full capitalization of a $1 tax change under varying discount rate and house life assumptions is presented in Table 4.2. To avoid confusion, I report the dollar changes resulting from the tax changes, as well as the capitalization rate. The effective tax rate is defined as the annual tax payment divided by the sales price of the house. The annual tax payment is the assessed price of the house multiplied by the statutory millage rate. Therefore, the effective tax rate also can be stated as the assessment ratio multiplied by the statutory rate, where the assessment ratio is the assessed value of the house divided by the cash value of the house. The effective tax rate is an endogenous variable since it is calculated using the house’s price. The endogeneity problem is best illustrated by an example. Suppose that a house sells for a higher price than it normally would due to a random shock. This higher price will also be associated with a lower effective tax rate, since the house price is in the denominator of the effective tax rate. Therefore, the random element to house prices will make the effective tax rate seem low for houses that sell at a premium and high for houses that sell at a discount, resulting in an upwards capitalization bias. To avoid this problem, I use the average assessment ratio for each community, rather than the actual ratio for each house when calculating the effective tax rate. I define the average assessment ratio as the average assessed value for the community divided by the average sales price for the community. By using the average ratio, I am ignoring the 56 possible capitalization of within-community assessment errors, which is known as intrajurisdictional capitalization. Instead, by using the average ratio, I can look at the effects of tax and spending differences across communities, which is known as interjurisdictional capitalization. I can, therefore, rewrite the tax term in equation (2) as (3) T=tV where t is the average effective tax rate.12 Based on equation (3) and under the assumptions of an infinite house life, I can rewrite the capitalization equation as '2 Another issue with the tax rate is the deductibility of property taxes from the federal income tax. The following argument is based on Yinger et al. 1988. The basic capitalization equation I use is: _£_fltV (a) V . . l 1 Assume that the marginal tax rate faced by the homeowner is 3. After the property tax deduction, the net tax payment is (1 - s)tV. Yinger et al. argue that it is also important to consider the effects of taxation on the discount rate. The opportunity cost of housing is the return given up by the investor when he or she invests in a house. The return that matters is the return after taxes. Let i' be the gross of tax return. Then the net return is (1-s) i’. I can rewrite equation (a) as _ R _fl(1—s)tV —(1-s)i' (1—s)i’ (b) Simplifying equation (b) produces V: R (1-S)[i'+flt] (C) 57 V_R(ar,E) (4) " (Hat) Taking the natural logs of both sides of equation (4), produces (5) an=lnR(a,E)-ln(i+,6’t) For estimation purposes, I rewrite this model as (6) ln V, = a, + floschool, -— ln(i + ,6, t, ) + 2 D, a“, + a, The annual rental rate of a house, R in equation (5), is assumed to be based on time- invariant house and neighborhood characteristics, a,, and school spending, which does vary over the sample period. In all specifications, the a, are assumed to be arbitrarily correlated with the other right-hand-side variables. The effect of school spending on home values is measured using per-pupil expenditures. Note that I am assuming an Taking logs we get u) mV=mR—ma—n—mw+fln The tax term is time constant and will be differenced out of the estimates. 58 exponential function for the effects of school spending on house prices. '3 Per-pupil school expenditures serve as a proxy for the real variable of interest, the amount and quality of schooling services available in the community.” In using this model, I have implicitly assumed that the effects of school spending are constant across communities. Therefore, the coefficient, flo, should be interpreted as the average effect of school spending on house prices. The D, represent a set of year and quarter dummy variables. Year dummies are included to capture the overall price level in Oakland County and quarter dummies are included to capture any seasonal price differences. The year dummy variables will capture any overall rise in price level for Oakland County homes that resulted from the policy change, as well as any change in the price level that resulted from other county- wide economic factors, such as real construction cost increases or increased demand due to economic growth. Therefore, ,4, and ,6, measure the effects of tax and spending differences across communities. The coefficients should be interpreted as a measure of the effect of changing the tax or spending amount in one community, holding the tax and spending levels of all other communities constant. '3 The model was also estimated using the log of per pupil expenditures with similar results. I judged the semi-elasticity model to provide the better fit. The actual school spending variable used is the revenue per- student available to the district, from local, state, and federal sources. This figure was taken from The Michigan Department of Education Bulletin 1014. Figures for the 1996-97 school year are not yet available, so I have assumed that real spending remained constant between 1995-96 and 1996-97. ” Note that other public services can be safely omitted as long as they either remained constant over the relevant period or had changes that were not correlated with the other variables of interest. 59 The real discount rate, 1, is assumed to be 3 percent. I have converted all dollar values into constant 1990 dollars using the national Consumer Price Index (CPI-U). Equation (6) is non-linear, so it cannot be estimated using ordinary least-squares (OLS). Assuming initial parameter values of zero for all parameters, the linear approximation to equation (6) can be written as _ 161 In (7) 1n V, _ a, + ,6, ln school, — ——,—— + 2 D, a, + a, I If the ori were known, equation (7) could be estimated using OLS. The ori are not known, however, so they must be removed prior to estimation. I estimate equation (7) after taking first-differences, equation (8), and by fixed-effects, equation (9).15 A . (8) A In Vi, =floA In School” — ’6—‘-t'—’- +2 AD, 5,, + A8,, 1 161(tir —Z) l (9) 1n V, — 1117,. = ,6’0(ln School“ — In School, ) — + Z .5.— 33525 nah. 8.5 «d 033—. 123 macaw—330 PEAS/w 98 £550 ooam ”830m _NN OON ON NO; xNNNN- NSN ONON NONON 2N5 _NN EN ON NNNN .NNNNN- NNNN SEN ONO,NN NEE; ONN NO_ N ON :NN o\cNNNN. NNNN _NO._N NNN.NN Baum NNN OEN ON NNNN o\,.NN.NN. ONO_N SEN ONN NNON ON NNNN oNONNNN. VNNN SEN NNN NEN ON OONN .NNNNN- NNNN NOEN : N.NN seem . aflooaom DEF—QEBNUEQK mo END NN ON ON NON o\oONO. OOO._N NNNgN NON.NN ”mam ON NNN ON ONN NON? OOEN ONN._N ON_.ON 365 ON ONN ON NNN “NON? NNO._N OOONN 81$ 88% NNN NEN ON NONN $3.8- NOON NON,_N NNN OEN ON NONN ONSNN- NOON NNN._N ONN 5N ON NONN XSNN- OONN NNN._N NOEEN NOEEN NOEEN NOEEN $2882.82 2 85 25 2 gem 23V 2 95 23 388m 2 ram oNoN =an 5d. Begum and E O85 xah .9235 33 3:52 NcocNESNN< Naota> 8ch own—EU gum Begum Mm .ONm 1352‘ “6:95 Box 8am Nw5>mm End 3:52 2583— .85m 9535:: 5?... NuEZNm 23% NO 33.2530 Wm ~35. 2 1 60258 :03 32 £383: 088 ”202 Ocean—3:5 553x can mchoU cog bosom ONN NON ONN NON ONNN ONNN _ONN NNNN NNON OOON ONON _OON NOON N _ NN 2N5 EN 2 5 EN; NON :ON NONN NSN _NNN NOEN NON._N :EN NNN._N ONON OON.; OOENN ON 5 ON _ N _O _ N N_ _N OONN OONN NONN ONON OOO. _N ONO. O N _OO. _ N OOO._N NONN 23 Beam NN_N ON 5 ON _ N O. _N NNNN O_ NN ONNN OOON NNO._N ONOON NOO._N NOO._N OONN NNEN 2N5 . OO_N OON :_N NON OO_N OON _:N NON NOZN ONN._N :EN ONN._N ON OON.; NOEON O_~N OO _ N OOON OO_N NOON NOON _OON N_ON OON. _ N OOZN NON. _ N NOZN NONN NOSN 5.5m EN ON _ N NEN ON .N NNON NNON ONON ONON _ON. _ N NON. _ N OON,_N NON,_N SNN ONN._N O_N:_N ON ON ON ON ON ON ON ON NON. _N OON.; OON. _ N NN_ . _ N ON ONN._N NOSE ON ON ON ON ON ON ON ON NOO. _ N OOO, O N OOO. _ N ONO. _ N ON 34.; Baum gagfiaaagg OEN NO _ N OO _ N OON NNON OOON OOON OOON OON. _ N OON. N N OON. .N ONN._N O _ NN ON_._N 2N5 25 83 SN NNN 2: 8; :5 ONN OON._N OON.; OON._N N_N,_N ON 215 NOEON ON _ N ON; ON .N 25 OOON OOON NNON OOON NNSN SEN NNSN ON_._N OOON ONO._N SEN gag NOEEN NEOEN NOEEN NEOEN NEOEN NEOEN NOEEN NOEEN NOEEN NOEEN NEOEN NOEEN ONEONOm O3: 35.8% 23 .523. _ _ :O: OOON ==O 285 : Na: OOON =OO EEO _ _ N3: 93 :5 NBC 5: N385. :85 A533. 30% 3:83— NNomv O8 5;. moi £920 x3. 56¢on E 0308:. N620 xfl. €39; No oEESNm 8895 szU 5.. xfl. “8:95 .No No.g_.mm :38: .. 8.55.3.— ..85 a: 3.2.2.. N as; 125 .3958 :83 26: 33:5: 080m ”802 Ocean—830 N.No£=< 95 £550 oaa 605cm omm cow 30m $2 aamavmm mmwNWNm flmfim Sm 5; 03:5 $2 @363 moaJWN 328m 85 mm; Com . O\Om_ w3<.mm ommdmm Baum Econom ulmcaonc outcom .No 36 ON NN_N ONNN GO: NOO.NNN NNONNN ONNOON om ow _ m wmm. 5 $9 qumm $3.me 388m ow 2 5 worm OON— Noadmm acqmmm Baum ON _ N ONNN NNN,_N 0O: OONNNN SO.O_ ON 2N5 om vwm. N m m3 4% £1 m 833; owmdmmm $83 cm 33% 03.3 O\O_ m wmmdflm oatonmm 880m Eoozom NEE 22.22025 93. 22.3805 OOON OOON NON: GO: ONO.ONN OOONON OONaN 3% Nova 39$ O\Om_ mmodcm vind— 5 338m m _ vm 8% Own. _ a $2 www.mmm v3.8a 880m ANOEoOom 33v Amcbofim 015 $5.83” 35 2nd Ed. 0885 ANOEQOM 036 5.80 :28:an NSF Begum EEwNO—Z BE 3503 xfl. moi x5. Begum @038:wa OONEOE 3:83— 2? I 05: “End—533 N53335:: 3.. 3:55 an: 3:259:— nah 5.53.5 @8253“.— m.m «Bah .3988 :03 26: £3.58 080m 682 €33 038230 98 3032330 OLSEN/x “Ooh—om 126 OOON NOON NOOONN ON ON 2 .N NNN.NON 2N5 NONJN NNNN NNO.ON ON ONN OOON NOO._NN beam OOON OOON O_ N.NN ON ONN NO; ONN.ONN seem Econom omcconc canon mo 35 NNSN OONN NONOON ON ONN OONN NNNNNN 2N5 NOONN OOON OONON ON NON NNON ONO.ONN NOSE . NOON OOON ONO.NN ON ONN NO_N OOO.ONN OONOON NOON NNNN NOO.NN ON ON _ N ONO._N SOON NN 2N5 OON.; OONN ONO.ONN ON OONN NOO.ON ONN.OONN NOSE OOO._N ONNN NNO.ON ON _ONN NNN.ON OOO.OO~N seem 285m, £5 23885 NOO._N ONON ONN.ON ON ONN OONN OO_.NON 2N5 ONO.ON OON, _ N NON.O _ N ON NON ONON OON.ON ON :85 OOZN OOON NOONN ON NON ONNN OOO.OON seem ONOSON 58 338 NO 56 ONNEONBN O3 Naneum 3O OBOONON E ONOENON OE Evian 02.3 3295 N620 £55350 x3. 30:5 85 025$ 335$ 3352‘ .ONm 331355 xOH dam x3. Begum ONN OONEONE Nhoaiouficmfincaxm .8 325% 8.3.3.: no 835:3— e.m «Bah. .3958 :89 3a: 838:: 25% “80 Z Aug: 030.230 98 macaw—:28 NLo£=< ”330m 48% 2:85 35va 05 ENE $225 owmwtofi mo 8.326% 2: N8 $5.3th Noam Evian uwmwtoE ~959ch 3:328? 127 OO_N ONON ON ON NOON OONOON 2N5 OOON OONN ON ONN NNON NON.ONN NEE OO O N ONNN ON OON NON N NNOOON seem NNN NOON ON NNN _NON ONO.OON . . Dana OO_N OOON ON OON OONN NON.OON Omefl NON OOON ON ONN NO_N O_O.ONN Baum O _ N - .OOON ON NSN OOO._N OOO.N_ ON 2E5 NOON ONON ON ONN NON.ON OOO.NONN NEE NOON OONN ON ONNN OOO.ON NNN,ONON BEN £85m NEE 2».chon ON - OOON ON SN OOON OOONON swam N_N OOSN ON OO_N :ON OOOONON been. OK; - meow om v3 mama Nwmdow Baum NwEZOm .Ncugmm @583— 3; ONE—0.3m Ed ANENOMDM \BV ONE—chum EL .58an owmwtoE N680 £8.50:on x5. Begum outn— 8:03 3:53.. F5223 xmk doi xmh Begum 32 5322 30:38:82 .5 Z :c 38:”.— Eheom .3 835sz hm 033—. 128 go 6958? .3555 32 can 9.58 x3 .2 eg— .m:m=oU 002 ”350m 63:20.. :03 05; 85mm oEom ”202 .98 9:85 .803.“ on. :0 05852? 93 2:85 888 Mo 22838 >5 .8 .0: 8a mesuc 5:. 0535 58222. m 8 88 88 898 8 8 8 98.8 _ 838 29.8 88 $8 88 N858 8 8 8 9938 e N858 9:88 8 8 8 8 N88 98.8 23.8 95.8 N :38 .528 whoa—5M 88 28 88 98.88 8 8 8 98.8 _ 838 28:8 88 88.8 .88 $9.98 8 8 8 9938 v 9558 9:88 8 8 8 8 828 98. 8 o 8.38 95.8 N 8 8.88 5.58 whoa—BO 3868 088.: glaze; 8 >5 «8 88 v8. 8 88.88 8 8 8 98.8 _ 83.8 28:8 88 8 _. 8 8 _. 8 v2.88 8 8 8 993 8 v 8 E8 9:58 8 8 8 8 898 98.8 23.8 98.8 N 80.88 .258 $585M 88 8N. 8 N8. 8 838 8 8 8 98.8 _ 88.88 29.8 :8 98. 8 8o. 8 N 8. :8 8 8 8 9558 v E. _ 8 9:58 8 8 8 8 8988 98. 8 23.8 98.8 N N858 5.58 30:30 38:8 28.8% 28:5 8 3.6 08 $8 88 838 8 8 8 98.8 _ 858 28:8 98 8:8 8N8 8de8 8 8 8 9858 v 8888 9:58 8 8 8 8 08.9.8 98. 8 o _ 3. _ 8 898 N 88.88 .258 EBSM 88 88.8 88.8 @888 8 8 8 98.8 _ 8,..N8 28:8 3 8 98.8 98.8 88.8 8 8 8 8 9938 v 88.88 been M8 98.. 8 NS. 8 828 88.88 98. 8 N. :38 95.8 N 8N8 8 SE8 88:30 28:8 2...: 2858.9 93. 28588 88 o _ 8 N88 2.3 8 8 8 8 98.8 _ $8.88 28:8 :8 89 8 N8. 8 85.8 8 8 8 993 8 v 9.88 9:58 8 8 8 8 N8. 8 98. 8 23.8 98.8 N 838 5E8 8220M 98 SN. 8 08. 8 238 8 8 8 98.8 _ 238 288 88 898 N28 8988 8 8 8 95.08 v 8988 9:58 8 8 8 8 ONE 8 98. 8 23.8 898 N 88.88 .288 8:38 99. v3 99. o: 2:85 68.98 v2:): 5:988 2:85 28> 28958 68: 5; .98.... .xfl. 0388;. .5558 .820 can we bizoow coca—53m Mo 53:52 0:58: _m:cc< 5.5.31 Hmom 5.53% 0.5 camp—on— —a._oom 8mm vggtmm REED Sanfluchn 2.8.!» .3.— 83533— nah. 2:3..— afi 025—. 129 Table 5.9 Percentage Smoker by Income for 1993 Income lass Percent Smoker Less than $10,000 36.3 $10,000 - $19,999 26.7 $20,000 - $34,999 27.3 $35,000 - $50,000 23.8 Greater than $50,000 17.3 Source: Michigan Office of Revenue and Tax Analysis I! 1‘ Aowmm :82 no 325.80 oBa-C 130 88 S8 28- S8- 8 :8 28:8 88 88 _8 - NN8 - 8 88 9:88 88 _8- 8 88- 8 9.8 .28 onccom mo NzU 88 _8- 38- 88- 8 88 28:8 88 88 98 - _ _ 8 - 8 $8 9:58 58 N8 - 8 88 - 8 88 SE8 2.658 8.0 95 9.8 28 88 - . 88 - 8 88 28:8 :8 88 S8 - 8 8 88 9:58 $8 88 8 8 8 88 SE8 g. .S. 28588 88 _ 8 88 - SN 8 - 8 88 28:8 88 88 N8 - t 8 - 8 $8 3E3“. 8 8 88 - 8 8 8 - 8 88 SE8 gh- coccflm 8:828 Boa 88 88- 28- 88- 88. :8 28:8 88 :8 - _8 - 98 - 88 - 88 9:58 8- 88. 8 E8- 38- 88 SE8 umccom ho NED 8N 8 - 88 - 38 - 2 8 - 88- 88 28:8 88 8.8 - o8 - 88 - 88- 88 2.5.8 :8 - 88 - 8 N08 - 9.8- 88 SE8 SE.SE.-I8...S do 8 8 8 - 98 - 8 8 - 88 - 88 28:8 88 3 8 S8 - 8 08 - 88 9:68 88 _ 88 8 8 N8 - 88 SE8 an; 28.808 88 88 - 98 - o8 - 9.8 - 88 288 S8 8 8 - :8 - N8 - No8 - 38 9:58 N8 - 88 - 8 8 8 - .88 - 88 SE8 gh- cog—8m «55.8 :5 .Caonmv €8.95 .85 omens-u new—5:0 “.620 End :0 uwcmsu Zebu x“... “ooh-E 5:. 9: 9:8:— xah moi 09:95 5:. xmh 83m .58 .98 S 888 -S .85 88 80 Sam .S .85 33:0“ .3.— ouco—zuc— =.—. :23. .26 033—. 131 Saw a x03 _ 88—988 on? 5x088 28 was 238.8: 38:85 88 8- 28- 88- _8- :8 28.8 88 S8 .8- 88- _8- 88 3E5 9.8 98 - 8 88 - .8 - 88 SE8 . OMS—hon ho sz 88 v8- 38- 88- 88- 88 288 88 .8 88 - 88 - o8 - 88 3E5 8 8 88 - 8 28 - 88 - 8 8 SE8 25:8 8 86 88 _8 88- :8- 8- 88 28:8 88 88 88 - 8 8 - 88 3E3”: 988 88 8 8 8 - 88 SE8 nah-8.8.8. '88 28 88 - 88 - 88 - 88 - 88 28:8 88 88 :8 - 2 8 - N8 - $8 3E8 88 88 - 8 88 - 88 - 88 SE8 gh- covcem 825.8 8: z 8 88 - 8 8 - 88 - 88 - :8 288 88 88- .8 - o. 8 - :8 - 88 3E5. 888 88 - 8 88 - 88 - 88 SE8 umzcom ‘6 NWT-v 88 88- 38- . 88- 88- 88 28:8 28 o8 - 8.8 - 88 - 8 8 - 38 8:68 88 88- 8 88- 88- 88 SE8 28.5“: 88. C... 8 8 8 - o8 - 88 - 88 - 88 28:8 88 88 88 - 8 88 - 88 5E5. 888 88 8 8 S8 - 88 SE8 m3 28:85 «8 28- 88- 88- 88- 88 28:8 88 88 - :8 - 88 - 88 - 38 8E8 38 88- 8 8.8- 88- 88 SE8 gh- SEEN—m «5.2.8 3 839:8 $8328 .55 quE-u owEE-u ”Eu-C Eva co owcmzu Set-m xx... goo-cm 5:. xfl- 9:50:— :8... moi owcnzu xfl- 5d. 82am 3.: .92- ? SSE 8o SSE 8: -S .85 -S SSE 92.523“! 28:01 .3.— 3522: nah. .33. e-m 03.:- 132 .fivUGn—OH GOOD 2’2 when—HHS: 080m 5qu 5% Ba x08 _ mow—08m of» 20:83: 5 3x25 28 88:35 .8850 53 9305 Eva: vows—2: 8m £55 xab 5885 533:2 05 5 x8 2:02: 7225.“ 05 80¢ 53 atomoa 05 .«0 328.6% 05 9 26 mowEEo 53 0885. ma - 83 - Rm - 83 - a; 23m 2% - 8a.; - o; - Sq; - $3 335 m _ a - mo: - om as: - 5% seem Economlomccomv ow. Eel; we Elna oi - 23 - Sm - 3.; - 8% $5 23% - an; - Em - 83m - 3mm 55$ cam - mg - 2 £3 - SS Baum 8S - o5 - ma- 2% - 3% 23¢ 23m- med. 3;- cad- 83 .265 $3 - 8o: - ma - $9; - 8% - 8:3 285m 2:: Eoceose 9; Eaceosm 25.; - SN: - a3 - wax; - «Rm 035m wig - 5mg - 8m - 29$ - 8mm been 35 - 8% - cm 5.; - RS "GB—9:3 Coy—08:55 Ema—£0 x3. owcnnu ego 69cm xah 69cm USP 2:85 xah doi x5. 83m .95 :2; Mo scum go scum .8 ~85 9.2.3859: wnzmmxm 3.— 3.8an— xah .38. :.m «Bah 133 5% 8a xoaq fl moxofim on? 8:95 28 mm: 228:2.— mufismmf .flouto x8 .90ch Eva: coca—oi 8m EEC «8H €305 cmwfiuzz 2t 8 53 0885 :fiovfl 2: 80¢ 53 .mtomoa 05 .3 amazonvov 05 9 26 mowcnco x8 088:? dorm—=23 £5 E vows—2: 8a $35 $590: no 3582 PameEZ Boa 3:38 :23 mowfifio 333m («0 88:0 2a 802 docflooaaa wagon 8 26 2am $085880: Bu: :8ng owawtoE :28:ch 05 39:05. 2% v3 5 - 8; - a; 23m 8% Em Em - 8S - 3mm :65 RS :5 em 3; - 5% seem Afloor—Um UNCCOAC Data—Om .«0 >30 83 a; Sm - 3m - SS 23m 3% we; 5 - cm; - 33 SEE Na $5 cm 5 - NEW seem Eoofim 285$ 286$ mo 36 v3 :3 a; - N; 3% ~35 :3 mg a; - SS - mmwm 3E5 $3 8% m; - 3S - 8; - 8:3 385m 2:: @380qu San Eoceosm 8% mg a3 - 5 3% gnaw :i fig 8a - m; - 8mm been 23 a; om 3 SS seam mfiuonwv fioonméoé Newcasu “8% Emcwno owcmso tutu x3. “outm— xah 0685 fig .35 5d. 83m 33 BE .6 scam ‘8 scum Mo 35 Eocicoficfl 3o Z .8.“ 8522: 55. 33,—. «fim ~33. APPENDIX APPENDIX This appendix contains a subset of the data that were used inthis dissertation. Table A.1 contains summary information on the various cities, townships, and villages of Oakland County. The data contained in this table are mostly from the US. census. It is included to give the reader a brief overview of the various communities in Oakland County. Table A2 contains a listing of the 709 houses that were used to perform the dual sales capitalization estimates. The dual sales were generated by manually matching lists of house sales in Oakland County. The unmatched house sales lists were produced by the Oakland County Equalization Office. Each house is identified by its sidwel], a unique identifier assigned to the house by municipal authorities. Also included in this list are the city, town, or village, in which the house is located, the school district the house is currently zoned for, the 1992 and 1996 sales price of the house, and the 1992 and 1996 state equalized value of the house. The final table of this appendix, A.3, contains summary information on Oakland County’s school districts. For each the school district in Oakland County, the school millage rate for the fiscal years 1991-92 through 1996-97 are included. Also included are the per-pupil revenues for each school district for fiscal years 1991-92 through 1995-96. Per pupil revenue data for 1996-97 are not yet available. Data on the Northville, Romeo, and Warren school districts are also included, although these districts lie primarily within 134 135 other counties. They are included because at least one of the dual sales houses was zoned for each of these districts. 136 -1. .3m 33 wmm .38 938» M5 .38 80.5% .2092 33 mm .\.m.o $2 23 .32 2.32. 32 .32 833 Beam away on six :2 25.2 .33 £33 .33 .38 83°; 852.83 H .\....o 82 2% .33 $33 :3 .32 83:” 2.83 gases: 2 .32 $2 $3 .35 «23% mt; $03 8me 3.5 H .3: m5 :3: .38 5.3 :3 .3§ 83% 2.33: m .3m Nae God... .32 23% 2.3. .3: 83$ flames: mm .3wm 22 85. .3; £35 33 .3Q O33; 82220 0 .3m :2 £3 .38 253 23 .3: 835 .35 saga .5 :3 3.2 38.2 sis 33$ 82: .30 8wa 288$ E .39 E: 33R :98 £33 Ea $0.2 83?; £5 aewéafi 8 .\.~._ $2 22: .38 9.3% Max... .32 82c; aoaqafim o... .32 $2 5.2 .38 $23 2; .38 832% 8.8.88 m .\.Z . $2 5.2 .33. ~32” Sow .3m 83% 8.3.6 2 .3m :2 83 .38 23% mi. 5.2 832; 8.32.6 oh .\.v.£ £2 32: .3a 83% a3 .33 83% 8.5.5 a .3. 82 £3. .33 soda #3 .32 83%» £5 23885 2 .3. $2 max? .38 33% $3: .32 cowzmm 2&885 0 .3m $2 832 .3E $33 $2 .32 83m; 52355 we .3m S2 83 x; .38; as. $3... ooofia énfiafiwam E. .32 $2 23: .33 $33 83. .32 81mm; .Embasm E 33 $2 832 .33 83$ 3% $3.. 833 serum 3 .3: :2 08.: .33 3.3.3 $3 9.»? 838 £5 535 8 .3: NE 9:... .38 £33 :5 .3S 83c; 8.63 < 8.8% 5:93.85 38: 8%: €2.2— 3 38: 2.333. 893 25.2 SE... B mug—6:023: emu—O: dam Ema—3900 0:59:— 33: Eman— uumhh 095: 556,—. ”QED o\e hao> =38: Lon—3c wean =38: ¢m¢u Mam-5: «cachom flan—.02 3.5 M435: can noun—nae.— .GESU vaniao _.< 93:. 137 o\om._ 33 v3.— o\oo.cw 3v.3.w mmw o\ow.o o2 .vom 815 52am vw .3: 8: 58 .38 83:.» 83.8 .38 88.88 2.888 3 .3m 8: W38 .88 $38 8.8 .3: 2.38 2.888 8 .32 8: 8:3 .38 88.88 22% .38 8.88 83 58m 8 .83 R: 83.8 .88 8.88 818 .3: 83:. .30 :83: N. .3: :2 88... .38 83.8% 85 .88 838 83: a .38 ME: . 88.8 .3: 83.8 5.8 .38 88.3.; 2:: .2863: 8 .3. N8: 83 .38 88.8». 83 .38 838 .2.£8m 8 8...: 82 81: .38 8848 M38 .38 838 2.88 8 .30 8: EN .38 83.8 83 .\._ .c 83.8 .82 838: 8 .38 .9: v8.8 .38 88.2.8 83 . .38 83.8 28.5 m 8...: 82 N8; .38 838» ME. .32. 8388 2:825 on .38... NE 88.: .88 8888 v8.5 .38 888 8.5 0 .3m 8: 83 .\._ .8 .88: m 98 .38 8188 83 2220 8 .38 22 RS .38 . :38 23 .38 8385 8.33 2 .3o 8: 8.5... .38 8on $8.: .3. 838 .8; 8.0 mm .88... 82 81mm .38 :38 5.2 .88 88.2; :62 8 .3. NS: .88 .38 838 :8; 8% 83m; .5382 8 .38 8: v8.8 .38 838 83 .38 80.8; 2.82 4 .\._.~ 8: 81mm .38 $28 83: .3: 8.88 93.5 8.8.2 3. .3: 8: 83. .38 838 E} .3: 85: a 83 v. .32 8: S... .38 83.8 N: .38 838 2.83 a... .\...._ 8: 83. .38 388 86.. .8...“ 8.88 885 9:53 8 .3_ N8: .88 .38 838 83 .38 888 8:0 83 .5 8.88 882.25 88: 88: 35.8. 3 88: 28:95. 88: 25.2 52F 5 «20:02.0: Own—O: .QOA— flea-590 0:50:— 33: 231— eomhnm 095: 556,—. wag—U e\e La0> :3—52 .3530 «0h :38: can “Emmacm ”Euchom Gum—no: San aim—5! can gun—.55— 3..on unaEaO _.< 03am. 138 [Fl-In? aco§o>oo no =Q§OU GawEom—Z «maofizom tam mama—DU .m.D ooo— Hoousom oi .m $2 23 £85 33% 25 «3.: 82% 3.5 85:03 am 5.8 :2 83 £33“ 35$ mt? 9&3 8§$ 59:3 3 sow: 22 R92 §.% 33% SN.” :52 83% 33 233 > £82 £2 23% $03 $33 wRdN £13 Sci; 20:885 303 x 33 82 898 <2 i . 810$ «Venom $2: 8%; 28533 3 $3 $2 Ed $98 93.2% $3 $92 83% 3.3 333 a 0%? $2 $3 $0.3 33$ 83 .x: .2 83% Eexo .0 as; 2 $0.8 $2 82 £30 23$ 83 33m 83% 28:2 mo ”mg; 3: $3 $2 a? 0%.: 33% $3 82% 833 33: mo ow2=> E $0.9 NE vwwfi $35 Emma 818 can: 8qu EH mm 3.23. 5:92.25 8%: 823 $5.5 as 83: «32.56 83: 2:2 5:; E mEOSGE—O: 02:»: A33 813090 0890—: mam—.3 nun—a..— uumhh 025: :30? “5.0 .x. 23> 5:52 3:30 «on 5:52 23— wEmsol How—om 5:32 3.5 ”£25: can coca—Egon 3589 252.5 ~.< «Bah Table A.2 List of Dual House Sales 139 Town Sldwell ID Town School Dlstr. 92 Price 92 SEV 96 Prlce 96 SEV 05-22-251-024 A Addison Oxford $95,000 $51,000 $134,900 $58,580 05-35-200-002 A Addison Romeo $1 10,000 $59,700 $165,000 $61,350 05-36-300-006 A Addison Romeo $80,000 $25,300. $80,000 $47,720 14-05-326-01 l 2 Auburn Hills Pontiac $65,000 $19,800 $78,000 $28,380 14-1 1-452-047 2 Auburn Hills Pontiac $54,000 $24,100 $85,000 $30,990 14-14-205~003 2 Auburn Hills Pontiac $69,800 $34,300 $88,000 $37,030 14-14-253-023 2 Auburn Hills Pontiac $69,900 $22,000 $98,000 $28,280 14-35-305-002 2 Auburn Hills Avondale $81,000 $37,950 $125,000 $46,100 14-35-326-009 2 Auburn Hills Avondale $87,000 $37,950 $1 10,250 $45,070 14-35-326-037 2 Auburn Hills Avondale $77,000 $31,350 $113,000 $39,710 14-35-376-007 2 Auburn Hills Avondale $82,900 $34,700 $125,500 $41,130 14-35-453-036 2 Auburn Hills Avondale $90,000 $38,000 $125,000 $48,640 14-36-427-015 2 Auburn Hills Avondale $55,226 $23,100 $68,000 $32,300 25~07-356-008 4 Berkley Berkley $33,000 $23,600 $64,500 $31,330 25-07—405-01 5 4 Berkley Berkley $89,000 $30,500 $103,000 $38,180 25—07-410-026 4 Berkley Berkley $85,000 $49,300 $137,000 $56,700 25—07-432—028 4 Berkley Berkley $131,000 $53,800 $179,900 $73,870 25—07-476-01 7 4 Berkley Berkley $1 12,000 $50,300 $159,000 $63,730 25-16-353-027 4 Berkley Royal Oak $82,500 $27,800 $1 14,900 $33,230 25-17-106-019 4 Berkley Berkley $71,500 $23,900 $1 10,750 $30,450 25-17-258-025 4 Berkley Berkley $87,875 $34,800 $121,000 $44,400 25-17-302-006 4 Berkley Berkley $44,000 $19,500 $58,200 $22,000 25-17-303-008 4 Berkley Berkley $89,000 $33 .300 $140,000 $44,670 25-17-354-017 4 Berkley Berkley $58,400 $29,100 $87,000 $38,940 25-17-403-016 4 Berkley Berkley $79,000 $27,100 $105,100 $32,990 25-17-408-075 4 Berkley Berkley $95,000 $25,300 $1 19,000 $34,670 25-17-432-026 4 Berkley Berkley $96,500 $33,900 $121,000 $43,940 25-17-452-032 4 Berkley Berkley $78,000 $39,800 $131,000 $53,900 25-17-456-002 4 Berkley Berkley $73,000 $31 .000 $95,000 $43,630 25-18-101-027 4 Berkley Berkley $62,000 $26,400 $80,000 $34,350 25-18-103-020 4 Berkley Berkley $68,400 $26,900 $106,000 $36,060 25-18-106-002 4 Berkley Berkley $64,000 $28,000 $100,000 $36,690 25-18-152-005 4 Berkley Berkley $69,500 $28,100 $90,000 $33,900 25-18-176-007 4 Berkley Berkley $72,500 $30,700 $85,000 $38,530 25-18-202-013 4 Berkley Berkley $51,000 $22,100 $84,000 $27,630 25-18-252-023 4 Berkley Berkley $75,000 $33,400 $104,900 $45,960 25-18-278-002 4 Berkley Berkley $73,900 $28,000 $1 19,900 $38,870 25-18-303-012 4 Berkley Berkley $67,500 $30,900 $93,000 $38,170 25-18-307-032 4 Berkley Berkley $81,000 $31,200 $1 19,000 $39,500 25-18-478-001 4 Berkley Berkley $81,000 $41,100 $1 15,000 $44,150 24-01-283-007 TH Berverly Hills Birmingham $1 17,500 $43,600 $126,500 $54,890 24-01-151-002 TH Beverly Hills Birmingham $124,000 $65,400 $155,900 $69,320 24-01-228-015 TH Beverly Hills Birmingham $91,600 $40,800 $124,900 $44,530 24-01-228-024 TH Beverly Hills Birmingham $123,000 $60,700 $164,000 $67,200 24-01-254-026 TH Beverly Hills Birmingham $128,000 $65,400 $161,000 $78,730 24-01-282-004 TH Beverly Hills Birmingham $140,000 $67,600 $212,000 $84,830 24-01-433-001 TH Beverly Hills Birmingham $177,000 $76,500 $190,000 $83,980 24-01-456~002 TH Beverly Hills Birmingham $125,900 $66,800 $150,000 $59,400 24-02-151-010 TH Beverly Hills Birmingham $257,500 $101,100 $315,000 $123,100 24-02-378-021 TH Beverly Hills Birmingham $165,000 $70,200 $217,500 $86,990 24-09-203-005 TH Beverly Hills Birmingham $194,500 $84,600 $217,500 $102,550 19-25-151-035 8 Birmingham Birmingham $165,000 $80,500 $180,765 $84,870 19-25-428-008 8 Birmingham Birmingham $270,000 $170,100 $300,000 $207,010 19-25-452-008 8 Birmingham Birmingham $190,500 $85,300 $233,000 $87,410 19-25-476-004 8 Birmingham Birmingham $169,000 $88,200 $249,000 $99,220 19-26-328-017 8 Birmingham Birmingham $250,000 $134,700 $305,700 $135,380 Table A.2 List of Dual House Sales 140 Town Sidwell ID Town School Distr. 92 Price 92 SEV 96 Price 96 SEV 19-35-277-036 8 Birmingham Birmingham $175,000 $89,300 $235,000 $1 13,100 19-35-327-035 8 Birmingham Birmingham $179,000 $82,700 $230,000 $70,630 19-36-229-016 8 Birmingham Birmingham $151,000 $60,200 $150,000 $69,620 19-36-256-009 8 Birmingham Birmingham $153,000 $74,300 $182,100 $63,780 19-36-278-001 8 Birmingham Birmingham $153,000 $79,700 $257,000 $75,580 19-36-326-029 8 Birmingham Birmingham $135,000 $60,600 $164,000 $74,430 19-36-329-016 8 Birmingham Birmingham $175,000 $80,200 $212,500 $86,410 19-36-330-012 8 Birmingham Birmingham $150,000 $67,400 $180,000 $80,060 19-36-401-043 8 Birmingham Birmingham $148,500 $64,300 $223,500 $71,740 19-36-402-022 8 Birmingham Birmingham $173,500 $77,800 $207,000 $71,580 19-36-429-039 8 Birmingham Birmingham $83,000 $42,400 $101,500 $45,190 19-36-430-045 8 Birmingham Birmingham $95,000 $48,400 $157,250 $60,170 19-36-451-023 8 Birmingham Birmingham $1 19,000 $50,000 $132,575 $63,370 19-36-482-030 8 Birmingham Birmingham $60,000 $33,300 $91,000 $39,280 20-30-355-004 8 Birmingham Birmingham $267,000 $1 13,700 $350,000 $1 14,960 20-30-426-01 1 8 Birmingham Birmingham $129,000 $57,800 $170,000 $69,310 20-30-427-027 8 Birmingham Birmingham $126,000 $61,200 $178,000 $74,440 20-31-101-027 8 Birmingham Birmingham $140,000 $61,300 $280,000 $76,660 20-31-177—030 8 Birmingham Birmingham $85,000 $31,700 $108,000 $43,680 20-31-179-032 8 Birmingham Birmingham $102,500 $40,000 $106,500 $53,820 20-31-351-006 8 Birmingham Birmingham $93,000 $32,700 $117,000 $41,930 20-31-403-012 8 Birmingham Birmingham $105,000 $49,300 $133,000 $60,000 20-31-453-039 8 Birmingham Birmingham $1 12,000 $43,600 $132,500 $60,510 19—01-102-024 C Bloomfield Avondale $235,000 $20,900 $320,000 $123,250 19-03-327-005 C Bloomfield Bloom. Hills $73,500 $32,900 $122,200 $38,240 19-13-177-016 C Bloomfield Bloom. Hills $226,000 $100,600 $295,000 $121,530 19-17-351-013 C Bloomfield Bloom. Hills $158,000 $80,500 $236,000 $92,740 19-19-252-009 C Bloomfield Birmingham $226,000 $104,600 $250,000 $1 13,370 19-19-427-033 C Bloomfield Bloom. Hills $383,000 $164,900 $540,000 $192,390 19-26-353-008 C Bloomfield Bloom. Hills $220,000 $106,700 $375,000 $131,540 19-27-429-009 C Bloomfield Bloom. Hills $312,000 $148,100 $425,000 $188,040 19-29-101-005 C Bloomfield Bloom. Hills $160,000 $76,100 $165,000 $86,640 19-29-227-003 C Bloomfield Bloom. Hills $182,000 $77,000 $183,000 $94,120 19-30-126-023 C Bloomfield Birmingham $190,000 $84,500 $265,000 $94,410 19-34-103-026 C Bloomfield Birmingham $195,000 $81,800 $241,000 $92,480 19-34-402-009 C Bloomfield Birmingham $200,000 $74,700 $257,500 $93,810 19-01-104-003 C Bloomfield Twp Avondale $246,625 $74,400 $360,000 $142,030 19-18-428-016 C Bloomfield Twp Bloom. Hills $255,000 $99,200 $267,000 $1 12,790 19-19-352-001 C Bloomfield Twp Birmingham $1 15,000 $31,000 $131,500 $86,160 19-29-227-026 C Bloomfield Twp Bloom. Hills $244,000 $91,700 $250,000 $112,640 19-31-477-019 C Bloomfield Twp Bloom. Hills $395,000 $153,200 $460,000 $169,550 19-32-203-015 C Bloomfield Twp Bloom. Hills $180,000 $76,100 $210,000 $85,570 03-08-476-015 D Brandon Twp Brandon $96,500 $41,400 $125,000 $52,000 03-14-151-004 D Brandon Twp Brandon $154,000 $58,900 $225,000 $78,400 03-19-278-003 D Brandon Twp Brandon $59,000 $23,500 $76,500 $29,000 03-29-200-034 D Brandon Twp Brandon $150,000 $67,200 $187,000 $83,600 03-29-403-001 D Brandon Twp Brandon $58,000 $20,200 $83,500 $28,800 03-35-103-001 D Brandon Twp Brandon $94,500 $47,700 $90,000 $51,200 20-33-128-015 16 Clawson Clawson $84,000 $37,900 $107,900 $46,860 20-33-130-026 16 Clawson Clawson $85,000 $39,800 $1 15,000 $50,540 20-33-201-015 16 Clawson Clawson $95,000 $37,200 $126,000 $41,960 20-33-276-002 16 Clawson Clawson $87,000 $38,100 $105,000 $74,380 20-33-453-037 16 Clawson Clawson $68,750 $37,200 $90,000 $42,970 20-34-356-01 3 16 Clawson Clawson $62,000 $20,000 $70,000 $21,990 25-03-151-045 16 Clawson Clawson $80,000 $32,400 $1 10,000 $37,470 25-04-131—018 16 Clawson Clawson $79,000 $29,500 $1 19,000 $38,160 ‘|__; —h—- m Table A.2 List of Dual House Sales 141 Town Sidwell ID Town School Distr. 92 Price 92 SEV 96 Price 96 SEV 25-04-152-014 16 C lawson C lawson $65,000 $23,600 $81,000 $27,420 25-04-228-026 l6 Clawson Clawson $79,000 $37,100 $100,000 $46,100 17-10-227-035 E Commerce Walled Lake $140,000 $10,500 $175,500 $60,300 17-11-151-007 E Commerce Walled Lake $82,900 $35,100 $95,000 $39,200 17-14-400-041 E Commerce Walled Lake $105,000 $41,200 $137,500 $47,300 17-16-401-029 E Commerce Walled Lake $128,250 $57,200 $162,000 $72,100 17-23-326-003 E Commerce Walled Lake $68,500 $29,500 $102,900 $40,000 17-23-476-021 E Commerce Walled Lake $125,000 $66,800 $165,000 $82,300 17-24-102-015 E Commerce Walled Lake $123,000 $49,200 $145,000 $60,500 17-01-205-002 E Commerce Twp Walled Lake $45,000 $14,900 $85,000 $27,900 17-06-200-032 E Commerce Twp Huron Valley $129,000 $62,000 $160,000 $74,900 17-10-326-003 E Commerce Twp Walled Lake $118,000 $46,300 $137,000 $65,000 17-12-151-030 E Commerce Twp Walled Lake $135,000 $49,900 $160,000 $67,500 17-12-177-009 E Commerce Twp Walled Lake $87,000 $37,000 $1 10,000 $50,600 17-16-252-020 E Commerce Twp Walled Lake $112,000 $47,000 $133,000 $58,100 17-24-102-006 E Commerce Twp Walled Lake $125,500 $48,800 $156,500 $62,600 17-26-277-016 E Commerce Twp Walled Lake $89,900 $40,700 $131,000 $48,800 17-10-255—005 E Commerce Twp. Walled Lake $88,500 $25,000 $100,000 $34,000 17-16-127-023 E Commerce Twp. Walled Lake $254,913 $68,700 $385,000 $142,600 17-21-277-053 E Commerce Twp. Walled Lake $115,000 $52,000 $139,900 $55,300 17-25-101-028 E Commerce Twp. Walled Lake $58,000 $22,700 $75,000 $28,900 23-26-301-046 20 Fannington Fannington $89,500 $38,100 $1 17,000 $47,500 23-26-304-004 20 Farmington Fannington $74,500 $35,900 $105,200 $42,940 23-26-352-014 20 Fannington F armington $81,000 $34,600 $98,000 $37,030 23-26-353-020 20 Fannington Farmington $73,000 $33,400 $1 12,000 $40,150 23-27-106-025 20 Fannington Fannington $99,900 $44,100 $140,000 $48,060 23-27-328-01 1 20 Farmington Fannington $120,000 $58,300 $148,000 $66,440 23-27-351-009 20 Fannington Fannington $92,000 $47,800 $102,000 $59,950 23-28-205-016 20 F armington Farmington $149,000 $68,900 $180,000 $77,610 23-28-226-007 20 Farmington Fannington $130,000 $57,500 $161,000 $70,860 23-28-228-007 20 Farmington Fannington $91,500 $33,300 $1 15,500 $39,410 23-28-254-003 20 F armington Fannington $169,900 $72,900 $189,900 $78,450 23-28-428-037 20 Fannington Fannington $145,000 $65,000 $165,000 $72,980 23-34-352-017 20 Fannington Fannington $1 17,000 $51 .400 $142,000 $63,680 23-02-176-038 22 Fannington Hills Fannington $91,500 $38,100 $130,000 $45,510 23-03-202-022 22 Farmington Hills Farmington $176,100 $76,700 $184,500 $83,490 23-03-303-005 22 Farmington Hills Farmington $167,500 $80,100 $200,000 $84,880 23-03-402-032 22 Fannington Hills Fannington $143,500 $59,100 $190,550 $70,610 23—03-403-033 22 Fannington Hills Fannington $133,000 $62,000 $180,000 $73,780 23-04-128-004 22 Fannington Hills Fannington $198,000 $87,300 $222,000 $102,860 23-04-226-031 22 Farmington Hills Fannington $176,500 $82,300 $215,000 $88,940 23-04-406-007 22 Fannington Hills Fannington $133,000 $56,100 $169,000 $66,650 23-04-453-011 22 Fannington Hills Farmington $134,000 $56,200 $153,000 $65,260 23-06-431-012 22 Fannington Hills Walled Lake $203,000 $89,800 $231,000 $108,260 23-06-451-018 22 Fannington Hills Walled Lake $201,000 $90,400 $231,000 $11 1,160 23-06-451-026 22 Fannington Hills Walled Lake $208,500 $96,200 $238,500 $108,240 23-07-155-047 22 Fannington Hills Fannington $259,900 $120,700 $286,000 $137,270 23-07-276-007 22 Fannington Hills Fannington $315,900 $33,900 $465,000 $184,360 23-07-277-003 22 Fannington Hills Fannington $349,200 $27,500 $472,000 $190,360 23-07-351-004 22 Fannington Hills Fannington $354,900 $146,400 $385,000 $164,240 23-08-403-029 22 Fannington Hills Fannington $170,000 $75,000 $243,000 $89,160 23-08-430-017 22 Fannington Hills Fannington $143,000 $65,200 $185,000 $77,010 23-09-152-003 22 Fannington Hills Fannington $196,500 $87,800 $204,000 $102,460 23-09-227-009 22 Farmington Hills Farmington $197,500 $98,100 $261,000 $109,490 23-09-305-027 22 Fannington Hills Farmington $162,500 $77,000 $189,000 $86,410 23-09-351-021 22 Fannington Hills Fannington $150,000 $69,300 $176,000 $79,300 Table A.2 List of Dual House Sales 142 Town Sidwell ID Town School Distr. 92 Price 92 SEV 96 Price 96 SEV 23-09-429-010 22 Fannington Hills Farmington $146,000 $60,500 $173,000 $71,520 23-10-226-021 22 Farmington Hills Fannington $138,000 $59,500 $165,000 $67,890 23—10-301-016 22 Fannington Hills Fannington $121,000 $55,900 $165,500 $68,300 23-10-329-002 22 Fannington Hills Fannington $131,000 $62,900 $172,000 $74,830 23-12-126-032 22 Fannington Hills Fannington $179,500 $81,600 $205,000 $94,710 23-13-179-002 22 Fannington Hills Fannington $87,000 $35,600 $104,500 $40,480 23-13-206-008 22 Fannington Hills Fannington $144,000 $71,800 $184,500 $85,080 23-14-378-012 22 Farmington Hills Fannington $114,000 $50,500 $135,000 $56,380 23-16-402-013 22 Fannington Hills Farmington $284,000 $85,000 $331,650 $97,120 23-23-378-013 22 Fannington Hills Fannington $94,500 $43,900 $123,000 $48,380 23-23-402-026 22 Fannington Hills Fannington $156,500 $70,800 $180,000 $88,780 23-23-428-011 22 Fannington Hills Farmington $78,000 $26,900 $80,000 $30,170 23-23-477-004 22 Fannington Hills Fannington $83,000 $30,900 $95,000 $31,910 23-24-227-006 22 Fannington Hills Fannington $149,000 $68,600 $166,000 $77,730 23-25-177-013 22 Farmington Hills Fannington $152,000 $76,000 $187,500 $95,000 23-26-252-003 22 Fannington Hills Fannington $107,500 $43,100 $139,900 $50,350 23-26-329-052 22 Fannington Hills Fannington $85,500 $32,800 $109,000 $37,680 23-26-427-009 22 Farmington Hills Farmington $98,000 $39,700 $134,900 $47,520 23-26-454-020 22 Fannington Hills Farmington $81,500 $37,800 $1 13,000 $45,630 23-33-279-050 22 Fannington Hills Fannington $85,000 $33,900 $107,500 $38,450 23-33-430-012 22 Fannington Hills Fannington $75,000 $25,500 $98,000 $27,680 23-35-230-002 22 Fannington Hills Fannington $60,000 $18,400 $79,900 $27,890 23-35-230-023 22 Fannington Hills Fannington $68,000 $24,500 $60,000 $35,850 23-36-156-012 22 Farmington Hills Farmington $70,000 $29,400 $102,500 $34,940 23-36-204-013 22 Fannington Hills Farmington $88,000 $37,700 $122,000 $43,370 25-26-152-028 24 Femdale Hazel Park $39,900 $17,300 $67,000 $20,280 25-26-152-030 24 Femdale Hazel Park $38,900 $17,200 $65,000 $19,380 25-26-351-018 24 Femdale Hazel Park $41,000 $17,800 $56,000 $19,660 25-26-352-024 24 Femdale Hazel Park $29,000 $15,300 $47,000 $16,840 25-27-202-044 24 Femdale Femdale $40,000 $13,000 $52,500 $18,130 25-27-283-016 24 Femdale Femdale $20,500 $14,400 $44,500 $17,620 25-27-328-050 24 Femdale Femdale $60,900 $19,700 $80,900 $24,830 25-27-329-019 24 Femdale Femdale $31,250 $19,600 $85,500 $25,240 25-27-404-025 24 Femdale Femdale $43 .900 $18,600 $54,900 $20,830 25-27-454-004 24 Femdale Femdale $38,300 $17,600 $92,000 $20,530 25-28-452-014 24 Femdale Femdale $62,500 $25,500 $75,000 $34,450 25-33-127-041 24 Femdale Femdale $55,900 $20,800 $102,900 $28,990 25-33-128-026 24 Femdale Femdale $51,000 $18,800 $75,000 $23,750 25-33-202-027 24 Femdale Femdale $46,500 $20,500 $88,000 $32,660 25-33-277-001 24 F emdaie Femdale $46,500 $18,900 $82,500 $22,700 25-34-108-046 24 Femdale Femdale $38,900 $17,400 $3 8,900 $23,980 25-34-132-023 24 Femdale Femdale $47,000 $20,300 $99,999 $30,130 25-34-328-008 24 Femdale Femdale $33,000 $19,500 $72,000 $27,460 25-34-353-043 24 Femdale Femdale $41,500 $20,200 $65,000 $26,930 25-35-306-063 24 Femdale Femdale $35 .000 $18,100 $35,000 $23,000 25-35-451-018 24 Femdale Hazel Park $25,800 $12,800 $36,900 $14,620 02-10-200-017 G Groveland Brandon $180,000 $82,700 $262,000 $93 .920 02-24-226-004 G Groveland Brandon $147,000 $76,900 $164,000 $77,310 02-24-201-006 G Groveland Twp Brandon $83,000 $31,600 $129,900 $41,180 25-25-129-003 28 Hazel Park Hazel Park $52,000 $23,500 $61,700 $29,650 25-25-303-016 28 Hazel Park Hazel Park $38,000 $13,400 $49,900 $16,960 25-25-330-022 28 Hazel Park Hazel Park $46,900 $18,800 $58,000 $25,310 25-25-379-010 28 Hazel Park Hazel Park $41,500 $13,800 $58,000 $19,080 25-26-204-024 28 Hazel Park Hazel Park $58,000 $19,600 $77,250 $25,290 25-26-285-018 28 Hazel Park Hazel Park $35,900 $14,000 $55,300 $16,290 25-35-283-003 28 Hazel Park Hazel Park $38,800 $13,800 $55,000 $15,790 Table A.2 List of Dual House Sales 143 Town Sidwell iD Town School Distr. 92 Price 92 SEV 96 Price 96 SEV 25-35-427-036 28 Hazel Park Hazel Park $25,000 $13,100 $40,000 $15,790 25-35-427-038 28 Hazel Park Hazel Park $15,000 $11,000 $29,000 $15,650 25-35-428-042 28 Hazel Park Hazel Park $45,000 $19,000 $62,000 $23,630 25-35-430-005 28 Hazel Park Hazel Park $19,500 $1 1,900 $33,001 $15,860 25-35-476-038 28 Hazel Park Hazel Park $26,000 $10,100 $26,000 $12,770 25-36-132-035 28 Hazel Park Hazel Park $38,500 $14,200 $48,000 $17,680 25-36-254-014 28 Hazel Park Hazel Park $20,000 $13,400 $38,500 $14,840 . 25-36-329-018 28 Hazel Park Hazel Park $31,900 $13,600 $39,000 $16,470 25-36-335-006 28 Hazel Park Hazel Park $39,500 $15,300 $51,900 $20,380 25-36-452-025 28 Hazel Park Hazel Park $26,000 $12,600 $32,200 $14,330 25-36-456-027 28 Hazel Park Hazel Park $37,500 $16,600 $42,000 $20,100 11-02-251-013 H Highland Huron Valley $144,000 $13,500 $190,000 $82,030 1 1-12-132-039 H Highland Huron Valley $73,900 $26,900 $102,000 $36,520 11-11-304-017 H Highland Twp Huron Valley $123,000 $48,400 $141,800 $61,770 11-11-379-003 H Highland Twp Huron Valley $98,000 $43,600 $129,900 $58,620 11-12-302-045 H Highland Twp Huron Valley $71,000 $29,400 $90,000 $32,420 1 1-09-428-011 H Highland Twp. Huron Valley $53,000 $22,000 $75,000 $25,080 11-12-201-007 H Highland Twp. Huron Valley $62,000 $26,700 $89,900 $32,440 11-12-476-020 H Highland Twp. Huron Valley $79,000 $38,700 $93,425 $39,090 01-27-477-015 1 Holly Twp Holly $77,000 $44,000 $110,000 $45,600 01-32-276-010 1 Holly Twp Holly $87,500 $47,500 $89,500 $56,100 01-33-276-01 1 1H Holly Village Holly $51,900 $16,200 $51,900 $28,200 25-20-227-016 32 Huntington Woods Berkley $115,000 $42,400 $155,000 $55,120 25-20-229-012 32 Huntington Woods Berkley $82,000 $43,200 $172,500 $61,140 25-20-303-002 32 Huntington Woods Berkley $96,000 $47,300 $152,900 $57,880 25—21-106—019 32 Huntington Woods Berkley $172,000 $78,100 $215,000 $81,250 08-14-476-019 J Independence Clarkston $1 15,000 $45,900 $160,000 $72,900 08-21-178-006 J independence Clarkston $121,800 $57,200 $162,500 $60,500 08-22-351-037 J independence C larkston $122,000 $47,400 $145,000 $50,300 08-23-101-001 J independence Clarkston $1 10,000 $44,300 $123,000 $51,000 08-28-154-007 J independence Clarkston $92,900 $42,100 $1 18,500 $55,500 08-32-403-003 J independence Waterford $120,500 $53,900 $140,000 $57,000 08-34-402-021 J independence C larkston $81,500 $38,700 $1 18,500 $43,100 08-01-354-012 J independence Twp Clarkston $33,000 $21,300 $41,904 $23,000 08-12-328-043 J independence Twp C larkston $77,900 $26,300 $109,900 $37,300 08-17-230-008 J independence Twp Clarkston $315,000 $127,100 $330,000 $148,300 08-18-178-003 J independence Twp Clarkston $128,900 $73,100 $168,000 $66,700 08-22-351-039 J independence Twp Clarkston $1 12,000 $47,400 $133,000 $55,200 08-26-301-012 J independence Twp Clarkston $75,000 $27,100 $102,900 $35,500 08-26-353-006 J independence Twp Clarkston $72,900 $24,500 $92,500 $32,500 08-28-153-012 J independence Twp Clarkston $1 12,000 $37,700 $1 19,700 $60,600 08-31-201-006 J independence Twp Clarkston $59,700 $30,200 $90,000 $32,800 08-34-252-003 J independence Twp C larkston $1 15,500 $52,500 $140,900 $57,500 08-34-327-01 1 J independence Twp Clarkston $75,900 $31,300 $99,000 $35,900 08-34-329-004 J independence Twp Clarkston $60,000 $28,200 $75,000 $33,300 08-34-403-033 J independence Twp Clarkston $59,000 $28,400 $93,000 $31,300 09-02-457-008 OL Lake Orion Lake Orion $33,500 $12,500 $38,500 $14,200 24-13-106-007 40 Lathrup Village Southfield $1 12,000 $44,600 $160,000 $54,050 24-14-276-012 40 Lathrup Village Southfield $112,500 $44,800 $139,000 $56,400 24-23-280-042 40 Lathrup Village Southfield $94,500 $43,500 $137,000 $55,460 25-14-255-009 4O Lathrup Village Southfield $135,900 $63,300 $189,890 $83,510 21—03-276—009 K Lyon South Lyon $136,000 $66,500 $185,000 $83,830 21-05-300-063 K Lyon Twp South Lyon $1 11,000 $49,100 $154,000 $59,240 25-12-453-013 44 Madison Heights Lamphere $60,000 $33,900 $90,000 $38,300 25-13-304-024 44 Madison Heights Madison $79,500 $33,900 $101,000 $43,320 25-13-354-024 44 Madison Heights Madison $48,000 $18,100 $59,700 $22,290 I -""'O- ’ l. Table A.2 List of Dual House Sales 144 Town Sidwell lD Town School Distr. 92 Price 92 SEV 96 Price 96 SEV 25-13-359-004 44 Madison Heights Madison $31,000 $18,600 $56,000 $23,890 25-14-230-034 44 Madison Heights Lamphere $78,500 $36,700 $95,500 $42,020 25-14-385-017 44 Madison Heights Royal Oak $36,000 $17,300 $61,000 $19,750 25-23-205-026 44 Madison Heights Madison $55,000 $19,500 $73,000 $26,350 25-23-429-009 44 Madison Heights Madison $45,000 $21,900 $63,000 $25,130 25-24-304-011 44 Madison Heights Madison $37,500 $25,100 $48,000 $18,650 25-11-232-028 44 Madison Hgts Lamphere $43,000 $18,600 $43,000 $24,440 25-12-177-014 44 Madison Hgts Lamphere $80,000 $40,300 $123,500 $48,620 25-12-426-008 44 Madison Hgts Lamphere $60,000 $24,700 $88,000 $30,880 25-12-430-030 44 Madison Hgts Lamphere $83,000 $35,800 $104,500 $39,540 25-13-177-015 44 Madison Hgts Lamphere $75,000 $31,700 $98,000 $39,540 25-13-254-006 44 Madison Hgts Lamphere $84,500 $32,700 $105,000 $36,960 25-13-279-027 44 Madison Hgts Madison $84,000 $35,200 $96,000 $39,420 25-13-303-035 44 Madison Hgts Madison $74,000 $36,300 $96,500 $38,850 25-13-451-029 44 Madison Hgts Madison $27,000 $14,900 $55,000 $20,800 25-23-253-005 44 Madison Hgts Madison $37,000 $17,000 $61,000 $20,040 25-23-427-029 44 Madison Hgts Madison $59,000 $23,000 $67,000 $29,790 25-24-128-031 44 Madison Hgts Madison $57,900 $21,900 $74,900 $26,640 25-24-132-014 44 Madison Hgts Madison $61,500 $19,600 $79,300 $25,340 25-24-456-018 44 Madison Hgts Madison $51,500 $19,600 $52,000 $23,410 16-01-100-039 L Milford Twp Huron Valley $142,000 $88,100 $193,010 $109,060 16-02-376-020 LM Milford Village Huron Valley $72,000 $33,100 $106,900 $40,500 16-02-377-039 LM Milford Village Huron Valley $76,301 $31,200 $95,000 $43,230 16-10-429-003 LM Milford Village Huron Valley $78,000 $27,400 $95,000 $34,870 16-10-476-019 LM Milford Village Huron Valley $73,450 $29,900 $124,000 $35,120 16-11-178—011 LM Milford Village Huron Valley $131,000 $38,600 $175,000 $50,430 16-14-201-026 LM Milford Village Huron Valley $75,100 $36,700 $99,000 $43,170 22-33-402-016 48 Northville Northville $320,000 $130,300 $330,000 $154,550 22-21-427-034 50 Novi Novi $194,000 $72,000 $260,000 $87,250 22-21-451-038 50 Novi Novi $147,000 $60,800 $173,000 $74,450 22-22-203-023 50 Novi Novi $62,700 $41,800 $126,000 $52,150 22-23-454-008 50 Novi Novi $133,750 $56,900 $154,900 $66,350 22-24-3 76-005 50 Novi Novi $1 10,000 $50,600 $145,000 $57,350 22-25-105-009 50 Novi Novi $108,500 $42,200 $127,000 $52,600 22-25-203-002 50 Novi Novi $129,000 $61,250 $158,900 $71,400 22-26-226-002 50 Novi Novi $1 13 .500 $46,200 $127,900 $52,800 22-27-201-012 50 Novi Novi $193,500 $88,050 $254,000 $97,150 22-27-303 -001 50 Novi Northville $195,500 $94,400 $227,000 $1 12,350 22-34-154-022 50 Novi Northville $158,000 $63,600 $164,000 $75,350 22-34-176-001 50 Novi Northville $145,000 $61,700 $180,000 $70,000 22-34-176-023 50 Novi Northville $185,000 $82,100 $225,000 $95,900 22-36-127-01 1 50 Novi Novi $144,000 $62 .000 $177,900 $72,750 25-19-178-026 52 Oak Park Berkley $94,000 $37,600 $140,000 $50,500 25-19-205-001 52 Oak Park Berkley $86,500 $36,300 $98,600 $43,500 25-19-327-011 52 Oak Park Berkley $82,000 $39,300 $131,500 $51,000 25-19-455-010 52 Oak Park Berkley $76,500 $32,400 $89,900 $50,200 25-28-151-019 52 Oak Park Femdale $67,000 $24,000 $93,000 $32,400 25-29-326-003 52 Oak Park Oak Park $33,500 $20,200 $40,000 $22,700 25-29-406-001 52 Oak Park Femdale $35,000 $16,800 $68,500 $22,300 25-29-430-028 52 Oak Park Femdale $48,000 $20,000 $67,000 $25,700 25-29-453-007 52 Oak Park Femdale $46,000 $15,900 $71,000 $20,500 25-30-208-015 52 Oak Park Oak Park $37,900 $13,200 $56,099 $17,600 25-30-332-037 52 Oak Park Oak Park $62,500 $29,300 $62,500 $36,800 25-30-335-011 52 Oak Park Oak Park $35,000 $21,000 $79,900 $28,500 25-31-201-015 52 Oak Park Oak Park $57,900 $18,300 $74,900 $27,300 25-31-203-014 52 Oak Park Oak Park $45,500 $20,500 $79,000 $28,900 Table A.2 List of Dual House Sales 145 Town Sidwell ID Town School Distr. 92 Price 92 SEV 96 Price 96 SEV 25-31-276-019 52 Oak Park Oak Park $40,000 $22,000 $85,000 $31,100 25-31-476-014 52 Oak Park Oak Park $52,900 $18,100 $66,000 $26,500 25-32-203-032 52 Oak Park Oak Park $30,500 $12,100 $43,000 $14,500 10-02-158-014 N Oakland Twp Romeo $45,000 $20,700 $81,200 $23,580 10-02-159-020 N Oakland Twp Romeo $116,000 $47,100 $135,000 $56,870 10-24-101-006 N Oakland Twp Rochester $1 19,000 $50,100 $158,500 $55,130 10-27-177-007 N Oakland Twp Rochester $247,888 $82,300 $324,900 $130,620 10-34-128-01 i N Oakland Twp Rochester $375,000 $153,600 $429,000 $176,030 10-34-228-014 N Oakland Twp Rochester $96,000 $48,700 $146,000 $52,890 09-01 -477-047 0 Orion Lake Orion $65,000 $29,400 $92,000 $34,100 09-10-429-032 0 Orion Lake Orion $60,000 $24,300 $118,500 $30,600 09-10-429-039 0 Orion Lake Orion $63,000 $23,300 $107,900 $25,800 09-11-316-018 0 Orion Lake Orion $80,500 $32,600 $166,000 $43,900 09-21-3583-01 1 0 Orion Lake Orion $143,000 $65,000 $174,000 $71,800 09-30-377-007 0 Orion Lake Orion $104,000 $42,400 $128,900 $51,900 09-06-201-005 0 Orion Twp Lake Orion $105,000 $52,900 $151,000 $55,000 09-16-276—006 0 Orion Twp Lake Orion $84,950 $11,100 $107,500 $44,800 09-21-352-006 0 Orion Twp Lake Orion $130,000 $56,400 $145,000 $60,600 09-21-358-026 0 Orion Twp Lake Orion $160,000 $67,000 $193,500 $79,300 09-26-403-030 0 Orion Twp Lake Orion $160,000 $96,000 $175,000 $97,800 09-26-429-013 0 Orion Twp Lake Orion $145,900 $64,900 $164,000 $66,800 09-28-376-001 0 Orion Twp Lake Orion $68,500 $23,400 $92,900 $26,400 09-29-255-022 0 Orion Twp Lake Orion $96,900 $41,000 $123,000 $44,800 04-28-204-016 P Oxford Oxford $70,000 $44,000 $129,000 $50,530 04-05-276-034 P Oxford Twp Oxford $130,000 $64,300 $149,900 $74,010 04-28-355-034 P Oxford Twp Oxford $61,900 $35,300 $89,900 $42,630 04-30-301-002 P Oxford Twp Oxford $111,000 $42,900 $129,000 $53,400 04-22-378-006 PO Oxford Village Oxford $68,000 $36,100 $100,000 $40,980 04-26-227-015 PO Oxford Village Oxford $140,000 $76,600 $167,500 $76,000 25-28-251-004 60 Pleasant Ridge Femdale $90,000 $41,400 $191,500 $53,370 14-07-453-004 64 Pontiac Pontiac $69,800 $28,100 $94,500 $36,020 14-16-403-012 64 Pontiac Pontiac $36,000 $19,500 $63,000 $23,940 14-17-129-003 64 Pontiac Pontiac $48,900 $18,200 $55,650 $21,110 14-17-351-010 64 Pontiac Pontiac $32,000 $15,900 $42,500 $20,440 14-17-408-006 64 Pontiac Pontiac $16,150 $1 1,000 $19,000 $12,790 14-19-208-009 64 Pontiac Pontiac $30,800 $15,100 $30,800 $17,970 14-19-429-007 64 Pontiac Pontiac $28,500 $7,100 $35,000 $8,420 14-20-331-009 64 Pontiac Pontiac $20,000 $14,200 $32,500 $14,750 14-21-207-009 64 Pontiac Pontiac $35,000 $10,300 $48,000 $13,250 14-21-251-014 64 Pontiac Pontiac $24,000 $1 1,600 $40,000 $14,690 14-30-328-024 64 Pontiac Pontiac $65,000 $22,300 $85,000 $28,310 14-31-208-006 64 Pontiac Pontiac $70,000 $26,000 $84,500 $33 .080 14-31-227-005 64 Pontiac Pontiac $31,500 $21,800 $52,000 $29,850 15-1 1 -1 60-004 68 Rochester Rochester $109,000 $48,100 $134,000 $65,150 1 5-1 1-377-007 68 Rochester Rochester $75,000 $32,700 $86,500 $33,740 15-15-128-010 68 Rochester Rochester $91,000 $30,100 $1 1 1,500 $39,480 15-15-129-014 68 Rochester Rochester $85,500 $41,600 $123,000 $52,400 15-15-253-007 68 Rochester Rochester $103,500 $29,200 $130,000 $39,120 15-15-276-004 68 Rochester Rochester $56,000 $23,900 $78,000 $29,720 15-02-301-003 70 Rochester Hills Rochester $288,000 $127,200 $332,000 $152,020 15-03-127-003 70 Rochester Hills Rochester $147,500 $58,400 $168,500 $68,430 15-04-329-014 70 Rochester Hills Rochester $146,000 $67,200 $184,900 $79,560 15-05-126-016 70 Rochester Hills Rochester $205,000 $104,600 $265,000 $114,800 15-05-202-016 70 Rochester Hills Rochester $209,000 $93,400 $272,000 $1 14,060 15—05-202-01 7 70 Rochester Hills Rochester $225,900 $101,700 $269,888 $115,310 15-05-203-038 70 Rochester Hills Rochester $230,650 $20,600 $278,000 $120,450 Table A.2 List of Dual House Sales 146 Town Sidwell lD Town School Distr. 92 Price 92 SEV 96 Price 96 SEV 15-05-204-023 70 Rochester Hills Rochester $236,010 $20,600 $270,000 $124,320 15-05-232-008 70 Rochester Hills Rochester $184,450 $83,800 $223,500 $91,890 15-05-482-007 70 Rochester Hills Rochester $190,000 $94,900 $245,000 $109,990 15-06-151-044 70 Rochester Hills Rochester $420,000 $31,000 $450,500 $224,840 15-06-151-046 70 Rochester Hills Rochester $350,000 $72,700 $429,000 $184,080 15-06-152-002 70 Rochester Hills Rochester $370,000 $11,900 $402,500 $187,660 15-06-152-013 70 Rochester Hills Rochester $335,000 $69,700 ' $405,000 $178,090 15-06-152-019 70 Rochester Hills Rochester $350,000 $33,500 $388,000 $167,790 15-06-179-011 70 Rochester Hills Rochester $304,000 $150,400 $337,500 $139,100 15-06-207-002 70 Rochester Hills Rochester $193,500 $96,600 $249,000 $105,900 15-06-254-001 70 Rochester Hills Rochester $216,000 $99,200 $254,000 $106,470 15-06-254-015 70 Rochester Hills Rochester $195,062 $95,900 $263,500 $103,940 15-06-301-003 70 Rochester Hills Rochester $244,000 $98,800 $265,000 $111,260 15-06-354-027 70 Rochester Hills Rochester $364,000 $89,800 $399,999 $175,690 15-07-376—01 8 70 Rochester Hills Rochester $209,000 $87,900 $235,000 $101,160 15-07-377-036 70 Rochester Hills Rochester $210,000 $83,000 $232,900 $97,640 15-08-329-012 70 Rochester Hills Rochester $168,000 $77,500 $205,000 $90,000 15-11-102-001 70 Rochester Hills Rochester $88,000 $22,800 $122,000 $38,220 15-14-326—012 70 Rochester Hills Rochester $152,900 $74,700 $185,888 $81,900 15-14-327-004 70 Rochester Hills Rochester $149,000 $61,300 $172,500 $66,980 15-14-352-001 70 Rochester Hills Rochester $111,500 $49,600 $147,000 $56,780 15-15-353—038 70 Rochester Hills Rochester $210,750 $98,500 $232,900 $101,480 15-16-303-037 70 Rochester Hills Rochester $112,000 $55,400 $136,000 $59,480 15-16-327-007 70 Rochester Hills Rochester $153,000 $73,900 $209,900 $82,830 15-17-128-021 70 Rochester Hills Rochester $125,000 $57,600 $174,600 $64,160 15-17-151-002 70 Rochester Hills Rochester $170,000 $84,700 $189,000 $94,830 15-17-452-004 70 Rochester Hills Rochester $137,900 $56,600 $153,900 $66,170 15-19-401-007 70 Rochester Hills Rochester $285,000 $136,000 $340,000 $145,190 15-22-329-009 70 Rochester Hills Rochester $115,000 $50,100 $140,000 $57,490 15-22-402-001 70 Rochester Hills Rochester $117,000 $52,100 $140,500 $57.1 10 15-22-427-009 70 Rochester Hills Rochester $113,500 $52,700 $139,000 $55,960 15-23-252-012 70 Rochester Hills Rochester $147,500 $19,500 $197,000 $86,000 15-23-254-003 70 Rochester Hills Rochester $179,500 $89,400 $233,000 $103,010 15-23-304-007 70 Rochester Hills Rochester $159,583 $12,800 $208,000 $89,950 15-25-252-002 70 Rochester Hills Rochester $170,000 $25,500 $235,000 $87,550 15-26-276-007 70 Rochester Hills Rochester $127,000 $53,600 $150,900 $62,300 15-28-402-095 70 Rochester Hills Avondale $88,000 $38,500 $115,000 $43,570 15-35-252-021 70 Rochester Hills Rochester $180,000 $72,100 $195,000 $79,280 15-35-352-060 70 Rochester Hills Avondale $112,000 $51,200 $138,000 $68,220 15-35-377-047 70 Rochester Hills Avondale $82,000 $34,400 $75,000 $43,480 15-35-476-007 70 Rochester Hills Rochester $72,900 $33,900 $106,500 $42,120 15-36-256-022 70 Rochester Hills Rochester $89,900 $7,300 $116,000 $50,170 06-16-427-003 R Rose Holly $96,000 $50,000 $128,000 $51,900 25-03-253-022 72 Royal Oak Royal Oak $78,500 $25,100 $125,000 $37,320 25-03-326-020 72 Royal Oak Royal Oak $77,900 $28,800 $114,000 $39,860 25-03-352-017 72 Royal Oak Royal Oak $81,000 $37,300 $1 15,900 $45,880 25-03-405-034 72 Royal Oak Royal Oak $50,000 $25,500 $93,000 $31,190 25-03-477-042 72 Royal Oak Royal Oak $82,000 $36,000 $1 19,500 $43,600 25-04-402-022 72 Royal Oak Royal Oak $82,000 $38,600 $1 27,000 $45,190 25-04-402-023 72 Royal Oak Royal Oak $93,000 $37,200 $127,000 $48,880 25-04-404-006 72 Royal Oak Royal Oak $96,000 $37,200 $146,000 $46,980 25-05-453-012 72 Royal Oak Royal Oak $60,000 $27,500 $86,300 $34,240 25-05-454-016 72 Royal Oak Royal Oak $63,500 $24,900 $79,700 $29,950 25-06-102-005 72 Royal Oak Royal Oak $86,500 $40,900 $122,000 $53,890 25-06-204-003 72 Royal Oak Royal Oak $92,000 $43,500 $144,500 $56,810 25-06-206-008 72 Royal Oak Royal Oak $79,000 $32,500 $127,750 $41 .240 Table A.2 List of Dual House Sales 147 Town Sidwell iD Town School Distr. 92 Price 92 SEV 96 Price 96 SEV 25-06-230-022 72 Royal Oak Royal Oak $85,000 $35,400 $107,000 $45,590 25-06-254-015 72 Royal Oak Royal Oak $106,700 $45,900 $145,500 $58,080 25-06-327-024 72 Royal Oak Royal Oak $1 12,700 $61,300 $159,900 $65,100 25-06-431-031 72 Royal Oak Royal Oak $76,900 $32,500 $108,000 $43,050 25-06-433-013 72 Royal Oak Royal Oak $78,000 $28,500 $1 12,000 $39,190 25-07-104-009 72 Royal Oak Royal Oak $74,000 $31,700 $95,000 $32,940 25-08-181-021 72 Royal Oak Royal Oak $106,000 $31,700 $125,000 $38,010 25-08-401-01 1 72 Royal Oak Royal Oak $139,000 $51,000 $192,000 $71,080 25-08-427-004 72 Royal Oak Royal Oak $105,000 $47,800 $158,000 $62,560 25-08-433-013 72 Royal Oak Royal Oak $101,000 $50,900 $144,000 $61,790 25-08-484-023 72 Royal Oak Royal Oak $81,000 $39,000 $126,500 $49,720 25-09-352-003 72 Royal Oak Royal Oak $129,900 $39,700 $180,000 $57,400 25-09-408-015 72 Royal Oak Royal Oak $85,900 $38,700 $132,000 $48,830 25-09-478-009 72 Royal Oak Royal Oak $105,000 $31,600 $145,000 $45,540 25-10-103-010 72 Royal Oak Royal Oak $84,000 $36,200 $129,000 $42,140 25-10-105-002 72 Royal Oak Royal Oak $66,000 $29,500 $100,000 $38,970 25-10-129-030 72 Royal Oak Royal Oak $50,000 $20,400 $1 15,000 $33,340 25-10-129-081 72 Royal Oak Royal Oak $76,900 $30,400 $124,900 $42,580 25-10-208-019 72 Royal Oak Royal Oak $89,900 $40,800 $126,500 $44,710 25-10-477-037 72 Royal Oak Royal Oak $68,000 $26,100 $1 10,000 $35,240 25-14-377-013 72 Royal Oak Royal Oak $73,000 $31,800 $105,000 $38,850 25-15-103-022 72 Royal Oak Royal Oak $67,000 $28,100 $90,000 $36,900 25-15-103-041 72 Royal Oak Royal Oak $77,500 $27,300 $1 19,900 $34,020 25-15-126-039 72 Royal Oak Royal Oak $71,500 $24,800 $92 .000 $30,600 25-15-205-021 72 Royal Oak Royal Oak $76,000 $32,900 $1 13,000 $47,300 25-15-209-007 72 Royal Oak Royal Oak $81,000 $36,900 $122,450 $44,410 25-15-209-022 72 Royal Oak Royal Oak $76,000 $32,700 $1 19,900 $40,260 25-15-303-007 72 Royal Oak Royal Oak $45,000 $28,400 $109,900 $35,410 25-15-327-003 72 Royal Oak Royal Oak $70,000 $26,100 $1 10,500 $32,560 25-15-376-014 72 Royal Oak Royal Oak $36,000 $27,300 $95,500 $35,460 25-15-376-017 72 Royal Oak Royal Oak $66,500 $21,800 $99,000 $36,790 25-15-453-010 72 Royal Oak Royal Oak $83,000 $26,900 $1 1 1,000 $37,130 25-15-476-007 72 Royal Oak Royal Oak $86,000 $27,900 $11 1,900 $39,610 25-15-476-021 72 Royal Oak Royal Oak $90,500 $33,900 $123,000 $46,920 25-16-252-015 72 Royal Oak Royal Oak $105,900 $39,000 $138,000 $50,320 25-16-379-030 72 Royal Oak Royal Oak $72,000 $32,200 $133,320 $47,960 25-21-253-01 2 72 Royal Oak Royal Oak $69,000 $27,500 $1 19,500 $45,840 25-22-182-017 72 Royal Oak Royal Oak $79,200 $31,400 $108,000 $46,230 25-22-227-002 72 Royal Oak Royal Oak $62,100 $26,000 $138,000 $32,290 25-22-458-018 72 Royal Oak Royal Oak $56,000 $22,500 $69,000 $32,950 25-23-159-035 72 Royal Oak Royal Oak $65,500 $32,000 $83,500 $39,380 25-23-177-002 72 Royal Oak Royal Oak $74,000 $26,900 $103,500 $40,740 25-23-304-026 72 Royal Oak Royal Oak $77,500 $28,100 $105,000 $37,250 25-23-309-021 72 Royal Oak Royal Oak $72,500 $27,300 $105,000 $34,770 21-19-451—010 80 South Lyon South Lyon $73,000 $33,500 $99,900 $39,840 21-20-452-001 80 South Lyon South Lyon $113,000 $51,600 $138,000 $63,440 24-10-404-004 76 Southfield Southfield $240,000 $1 13.450 $270,000 $135,570 24-1 1-204-003 76 Southfield Birmingham $1 18,900 $44,750 $140,000 $53,560 24-11-303-014 76 Southfield Birmingham $1 1 1,100 $41,700 $131,500 $49,460 24-1 1-304—01 9 76 Southfield Southfield $86,500 $38,750 $1 14,000 $46,820 24-1 1-330-005 76 Southfield Southfield $67,000 $33,900 $99,000 $39,650 24-1 1-332-022 76 Southfield Southfield $79,000 $37,050 $123,700 $49,760 24-11-333-017 76 Southfield Southfieid $84,000 $33,100 $107,000 $47,210 24-1 1-352-040 76 Southfield Southfieid $1 18,000 $47,200 $148,000 $59,920 24-1 1-477-021 76 Southfield Southfield $55,000 $19,850 $87,500 $24,090 24-1 1-479-003 76 Southfield Southfieid $77,000 $33,700 $109,000 $44,630 Table A.2 List of Dual House Sales 148 Town Sidwell iD Town School Distr. 92 Price 92 SEV 96 Price 96 SEV 24-12-233-004 76 Southfield Birmingham $79,000 $37,050 $1 1 1,000 $50,000 24-12-431-006 76 Southfield South field $52,500 $20,950 $72,000 $25,840 24-12-478-013 76 Southfield Southfield $76,000 $32,550 $96,500 $39,870 24-13-130-044 76 Southfield Southfieid $63,500 $25,500 $75,000 $31,660 24-13-177-012 76 Southfield Southfield $68,000 $27,500 $82,500 $32,290 24-13-228-017 76 Southfield Southfieid $59,000 $26,300 $69,000 $33,130 24-13-231-004 76 Southfield Southfieid $53,000 $20,400 $67,800 $25,920 24-13-377-008 76 South field Southfield $48,000 $27,000 $74,000 $31,200 24-15-178-016 76 Southfield Southfield $132,000 $51,050 $125,000 $63,780 24-15-227-031 76 Southfield Southfield $97,000 $42,450 $132,800 $51,610 24-15-351-030 76 Southfield Southfield $55,000 $21,900 $72,500 $28,940 24-15-376-015 76 Southfield Southfield $105,000 $42,350 $135,000 $54,870 24-19-351-018 76 Southfield Southfield $43,500 $22,450 $76,900 $31,880 24-21-327-017 76 Southfield Southfield $105,000 $52,750 $182,000 $66,950 24-25-255-022 76 Southfield Southfield $85,000 $38,000 $1 13,000 $51,170 24-25-278-008 76 South field Southfieid $70,000 $34,600 $124,000 $44,780 24-25-302-028 76 Southfield Southfield $73 .000 $29,650 $122,500 $39,070 24-26-276-018 76 Southfield Southfield $78,000 $41,500 $78,000 $51,120 24-28-152-001 76 Southfield Southfield $1 1 3,000 $42,500 $164,500 $57,740 24-28-427-015 76 Southfield Southfieid $1 10,000 $44,500 $145,000 $56,430 24-29-102-01 l 76 Southfield Southfield $87,000 $46,850 $1 14,000 $54,330 24-29-352-018 76 Southfield Southfield $86,000 $45,300 $122,000 $53,920 24-31-307-023 76 Southfield Southfield $81,000 $45,000 $1 15,000 $51,650 24-32-202-017 76 Southfield Southfield $40,000 $19,100 $69,700 $21,640 24-34-151-026 76 Southfield Southfield $60,000 $28,300 $79,000 $34,710 24-34-152-007 76 Southfield Southfield $84,000 $44,100 $1 12,000 $52,560 24-34-153-003 76 Southfield Southfield $74,000 $24,200 $1 10,500 $31,870 24-34-454-021 76 Southfield Southfield $40,000 $16,600 $57,900 $19,310 24-35-106-003 76 Southfield Southfield $133,000 $59,250 $1 15,900 $41,100 24-35-129-015 76 Southfield Southfield $1 15,000 $50,900 $160,000 $63,230 24-35-153-060 76 Southfield Southfield $53,000 $28,350 $85,000 $30,640 24-36-326-015 76 Southfield Southfield $88,000 $28,900 $1 12,500 $40,130 07-08-476-002 U Springfield Holly $79,900 $35,300 $1 15,250 $48,600 07-23-101-005 U Springfield C larkston $1 19,900 $46,200 $140,000 $57,400 07-25-326-048 U Springfield Clarkston $1 19,000 $32,700 $170,500 $66,300 07-26-301—004 U Springfield Clarkston $79,000 $36,300 $1 15,000 $42,100 20-02-301-036 88 Troy Troy $171,750 $19,600 $204,000 $80,910 20-03-177-017 88 Troy Avondale $1 14,500 $48,000 $127,750 $57,060 20-05-252-01 1 88 Troy Avondale $179,000 $86,600 $245,500 $101,530 20-05-453-005 88 Troy Troy $167,000 $84,500 $224,900 $93,450 20-06-351-007 88 Troy Bloom. Hills $157,000 $58,700 $185,000 $74,640 20—06-401 -019 88 Troy Troy $210,000 $129,400 $315,000 $128,830 20-08-128-007 88 Troy Troy $122,000 $55,400 $144,000 $62,640 20-08-153-008 88 Troy Troy $156,000 $73,800 $199,800 $89,700 20-1 1 -104-020 88 Troy Troy $200,000 $19,000 $265,000 $122,140 20-11-178-012 88 Troy Troy $132,000 $59,300 $165,000 $68,960 20-12-180-003 88 Troy Troy $155,000 $67,300 $185,000 $76,630 20-12-376-017 88 Troy Troy $180,000 $78,700 $2 30,000 $98,740 20-12-429-009 88 Troy Troy $130,500 $59,800 $165,000 $71,090 20-13-204-002 88 Troy Troy $103,000 $47,700 $134,000 $55,820 20-13-207-022 88 Troy Troy $103,000 $48,800 $130,000 $56,940 20-13-227—012 88 Troy Troy $1 12,000 $51,900 $145,000 $57,590 20-14-203-010 88 Troy Troy $135,000 $57,500 $1 35 .000 $66,310 20-17-104-002 88 Troy Troy $276,000 $44,700 $382,000 $154,280 20-17-431-008 88 Troy Troy $232,000 $100,300 $247,500 $1 15,630 20-17-476-046 88 Troy Troy $261,500 $5,225 $325,500 $138,600 Table A.2 List of Dual House Sales 149 Town Sidwell iD Town School Distr. 92 Price 92 SEV 96 Price 96 SEV 20-18-152-005 88 Troy Troy $131,600 $68,100 $165,000 $73,500 20-19-152—009 88 Troy Birmingham $127,500 $62,300 $169,900 $75,120 20-20-302-002 88 Troy Troy $303,333 $20,000 $392,500 $162,360 20-20-327-0 1 4 88 Troy Troy $308,184 $20,000 $400,750 $159,850 20-21-102-001 88 Troy Troy $58,600 $34,300 $66,400 $42,590 20-21-231-009 88 Troy Troy $141,000 $19,000 $165,000 $71,090 20-23-153-017 88 Troy Troy $126,500 $59,500 $165,200 $66,880 20-23-203-031 88 Troy Troy $132,000 $62,600 $165,500 $75,820 20-23-251-015 88 Troy Troy $128,000 $56,000 $171,000 $63,830 20-23-276-004 88 Troy Troy $130,000 $58,600 $169,800 $68,660 20-23-406-015 88 Troy Troy $132,000 $61,600 $158,900 $68,410 20-23-427-004 88 Troy Troy $130,000 $62,200 $185,000 $71,620 20-24-102-004 88 Troy Troy $2 20,000 $19,000 $262,000 $1 13,500 20-24-427-006 88 Troy Troy $1 18,000 $50,500 $174,500 $55,910 20-24-479-012 88 Troy Troy $103,000 $45,500 $136,500 $54,480 20-25-178-001 88 Troy Warren $85,000 $42,600 $1 15,000 $47,230 20-25-2 54-004 88 Troy Warren $1 12,000 $51,300 $134,000 $58,770 20-25-256-003 88 Troy Warren $96,500 $45,600 $1 19,000 $52,760 20-25-280-022 88 Troy Warren $100,000 $79,000 $125,000 $59,090 20-25-306-018 88 Troy Warren $123,500 $13,000 $162,997 $63,460 20-25-306-035 88 Troy Warren $123,180 $13,000 $165,000 $65,370 20-27-403-023 88 Troy Troy $101,000 $45,300 $134,250 $53,650 20-30-153-002 88 Troy Birmingham $1 18,000 $51,100 $142,000 $59,780 20-35-301-003 88 Troy Royal Oak $96,000 $39,600 $1 19,500 $48,510 01-33-430-016 1H Village of Holly Holly $48,500 $20,500 $64,900 $24,000 17-26-178-006 92 Walled Lake Walled Lake $82,000 $38,500 $1 18,500 $43,920 17-26-306-022 92 Walled Lake Walled Lake $68,000 $24,800 $94,000 $32,870 17-35-154-019 92 Walled Lake Walled Lake $79,000 $38,900 $116,000 $45,540 17-35-180-024 92 Walled Lake Walled Lake $137,000 $55,700 $165,000 $68,950 13-01-151-008 W Waterford Waterford $1 12,290 $1 .000 $144,000 $66,320 13-01-251-019 W Waterford Waterford $139,000 $1 1,100 $168,900 $85,380 13-01-252—015 W Waterford Waterford $1 12,900 $1 1,100 $149,000 $66,120 13-01-304-001 W Waterford Waterford $106,000 $45,800 $122,000 $59,780 13-01-326-001 W Waterford Waterford $105,000 $54,300 $126,000 $63,000 13-01-328-005 W Waterford Waterford $1 10,000 $52,300 $129,000 $60,270 13-03-102-027 W Waterford Waterford $107,000 $41,900 $126,000 $44,020 13-03-427-036 W Waterford Waterford $77,000 $42,000 $94,000 $48,340 13-04-154-009 W Waterford Waterford $95,000 $34,500 $122,000 $42,760 13-04-428-012 W Waterford Waterford $68,000 $29,100 $102,900 $37,490 13-04-477-026 W Waterford Waterford $39,500 $16,100 $43,000 $16,980 13-05-130-01 8 W Waterford Waterford $58,900 $24,200 $73,500 $29,090 13-05-203-039 W Waterford Waterford $96,000 $48,300 $125,000 $55,690 13-06-176-007 W Waterford Clarkston $81,900 $45,000 $1 14,3 50 $59,510 13-07-478-027 W Waterford Waterford $58,000 $31,800 $71,500 $39,200 13-08-428-018 W Waterford Waterford $95,500 $49,100 $139,500 $56,610 13-08-453-006 W Waterford Waterford $94,000 $23,000 $155,000 $32,730 13-08-480-006 W Waterford Waterford $94,000 $48,300 $128,600 $57,170 13-09-104-018 W Waterford Waterford $74,900 $36,300 $1 17,000 $49,660 13-09-1 81-010 W Waterford Waterford $66,200 $23,900 $92,000 $29,990 13-10-252-01 1 W Waterford Waterford $65,500 $23,100 $81,000 $26,150 13-10-277—005 W Waterford Waterford $67,000 $27,600 $93,000 $36,420 13-1 1-127-017 W Waterford Waterford $79,900 $28,700 $92,900 $32,920 13-14-128-034 W Waterford Waterford $85,000 $34,600 $105,000 $43,440 13-15-351-001 W Waterford Waterford $95,200 $42,500 $127,000 $47,670 13-15-402-001 W Waterford Waterford $74,900 $34,600 $98,500 $47,800 13-19-378-01 5 W Waterford Waterford $143 .000 $9,400 $163,760 $75,860 150 Table 141 List of Dual House Sales Town Sidwell lD Town School Distr. 92 Price 92 SEV 96 Price 96 SEV 13-20-127-023 W Waterford Waterford $87,500 $29,400 $108,000 $42,660 13-20-251-026 W Waterford Waterford $78,000 $14,300 $106,000 $47.3 80 13-21-103-005 W Waterford Waterford $94,000 $36,500 $1 15,000 $49,490 13-21-280-018 W Waterford Waterford $67,000 $27,700 $83,800 $35,380 13-21-452-002 W Waterford Waterford $83,900 $30,100 $1 12,900 $40,540 13-21-477-045 W Waterford Waterford $62,900 $23,600 $92,000 $33,970 13-22-477-002 W Waterford Waterford $49,000 $24,700 $69,000 $27,770 13-22-480-012 W Waterford Waterford $139,000 $49,100 $172,000 $69,260 13-23-178-043 W Waterford Waterford $89,000 $3 9,900 $131,500 $50,430 13-23-378-006 W Waterford Waterford $74,750 $33 .400 $105,000 $40,450 13-25-151-016 W Waterford Waterford $88,000 $37,500 $100,000 $42,700 13-25-403-003 W Waterford Waterford $60,500 $26,000 $79,000 $34,360 13-25-406-024 W Waterford Waterford $26,000 $18,700 $71,400 $26,360 13-26-108-009 W Waterford Waterford $79,900 $3,200 $105,000 $39,550 13-26-227-008 W Waterford Waterford $81,000 $31 .700 $122,000 $39,390 13-27-201-026 W Waterford Waterford $106,000 $43,200 $136,500 $57,840 13-28-104-01 8 W Waterford Waterford $64,000 $21,600 $89,000 $30,040 13-28-107-01 2 W Waterford Waterford $77,900 $35,000 $106,000 $40,660 13-28-128-01 l W Waterford Waterford $57,000 $20,000 $79,500 $27,900 13-28-152-018 W Waterford Waterford $65,500 $24,200 $87,500 $32,800 13-30-476-009 W Waterford Waterford $62,000 $33,600 $96,000 $40,160 13-32-200-046 W Waterford Waterford $1 10,000 $74,100 $154,000 $71,530 13-32-477-001 W Waterford Waterford $190,650 $12,500 $249,900 $1 15.1 10 13-33-178-023 W Waterford Waterford $103,900 $40,700 $125,900 $50,990 1 3-34-157-003 W Waterford Waterford $70,900 $30,900 $97,000 $41 .460 13-34-328-009 W Waterford Waterford $93,500 $45,000 $1 19,900 $63,230 13-34-331-037 W Waterford Waterford $135,000 $56,100 $140,000 $61,060 13-34-427-029 W Waterford Waterford $71,000 $32,200 $90,000 $40,270 13-35-129-01 1 W Waterford Waterford $88,000 $32,800 $102,500 $38,890 13-35-159-018 W Waterford Waterford $65,000 $17,700 $83,000 $24,130 13-35-252-003 W Waterford Waterford $92,000 $51,700 $125,000 $74,900 13-35-451-01 1 W Waterford Waterford $80,000 $29,600 $86,000 $43,890 18-01-402-009 X W. Bloom. Pontiac $94,000 $38,850 $92,000 $47,160 18-04-101-014 X W. Bloom. Waterford $205,000 $95,200 $215,000 $99,000 18-04-251-013 X W. Bloom. W. Bloom. $155,000 $69,275 $200,995 $80,820 18-04-252-007 X W. Bloom. W. Bloom. $165,000 $77,150 $193,000 $86,320 18-04-253-005 X W. Bloom. W. Bloom. $166,500 $75,750 $215,000 $89,320 18-05-101-038 X W. Bloom. Waterford $100,000 $36,025 $130,500 $50,540 18-05-202-010 X W. Bloom. Waterford $70,000 $26,375 $83 .000 $37,180 18-05-202-017 X W. Bloom. Waterford $64,000 $33,750 $103,000 $59,730 18-05-252-016 X W. Bloom. Waterford $77,000 $29,845 $93,711 $36,590 18-05-476-01 1 X W. Bloom. W. Bloom. $260,000 $127,450 $294,000 $135,720 18-05-482-006 X W. Bloom. W. Bloom. $310,143 $32,100 $313,500 $147,520 18-06-151-009 X W. Bloom. Walled Lake $75,000 $30,025 $112,500 $39,710 18-07-326-010 X W. Bloom. Walled Lake $202,000 $82,725 $228,000 $111,450 18—12-428-002 X W. Bloom. Bloom. Hills $160,000 $87,175 $245,000 $91,640 18-14-402-002 X W. Bloom. Bloom. Hills $203,000 $91,325 $234,900 $103,450 18-17-129-030 X W. Bloom. W. Bloom. $79,900 $36,650 $100,938 $42,150 18-17-131-001 X W. Bloom. W. Bloom. $128,500 $56,025 $146,500 $63,670 18-17-154-034 X W. Bloom. W. Bloom. $102,000 $38,000 $149,900 $52,890 18-17-302-032 X W. Bloom. Walled Lake $84,000 $37,250 $108,000 $47,070 18-17-351-030 X W. Bloom. Walled Lake $60,000 $28,275 $85,000 $29,320 18-18-226-031 X W. Bloom. Walled Lake $310,000 $150,000 $310,000 $157,750 18-18-228-002 X W. Bloom. Walled Lake $230,000 $100,725 $250,000 $127,710 18-18-306-116 X W. Bloom. Walled Lake $107,500 $54,575 $145,000 $63,030 18-18-404-028 X W. Bloom. Walled Lake $88,000 $33,625 $1 15,000 $41,660 ._—..——-—.-'=“‘ Table A.2 List of Dual House Sales 151 Town Sidwell iD Town School Distr. 92 Price 92 SEV 96 Price 96 SEV 18-18-454-029 X W. Bloom. Walled Lake $35,000 $24,000 $85,000 $30,180 18-18-484-001 X W. Bloom. Walled Lake $55,900 $23,625 $72,000 $27,410 18-20-327-005 X W. Bloom. Walled Lake $305,000 $66,925 $365,000 $176,400 18-26-152-001 X W. Bloom. W. Bloom. $145,000 $67,025 $181,950 $83,570 18-26-454-021 X W. Bloom. W. Bloom. $189,000 $100,925 $257,000 $129,860 18-27-254-010 X W. Bloom. W. Bloom. $183,000 $82,325 $227,500 $94,860 18-28-253-20 X W. Bloom. W. Bloom. $151,250 $69,925 $182,000 $79,860 18-28-431-009 X W. Bloom. W. Bloom. $165,000 $71,475 $205,000 $79,270 18-29-136-125 X W. Bloom. Walled Lake $155,000 $33,925 $210,000 $84,630 18-36-202-007 X W. Bloom. Birmingham $191,000 $84,950 $220,000 $92,070 18-36-228-016 X W. Bloom. Birmingham $102,000 $45,400 $139,000 $54,910 12-06-377-057 Y White Lake Holly $58,000 $24,400 $79,900 $28,970 12-08-100-040 Y White Lake Holly $1 10,500 $45,500 $154,900 $56,730 12-18-206-002 Y White Lake Huron Valley $99,000 $40,900 $127,000 $48,810 12-22-401-030 Y White Lake Huron Valley $136,750 $60,000 $185,000 $70,910 12-23-178-018 Y White Lake Huron Valley $100,000 $41,800 $1 18,000 $48,560 12-33-202-01 1 Y White Lake Huron Valley $142,900 $34,200 $175,000 $68,690 12-34-353-014 Y White Lake Huron Valley $85,000 $6,900 $100,000 $46,660 12-35-230-24 Y White Lake Walled Lake $81,000 $38,600 $109,500 $47,460 12-35-231-044 Y White Lake Walled Lake $65,000 $21,500 $81,400 $29,120 12-26-226-018 Y White Lake Twp Walled Lake $157,000 $12,500 $253,000 $82,140 12-31-426-021 Y White Lake Twp Huron Valley $119,000 $37,700 $146,900 $59,590 12-35-479-013 Y White Lake Twp Walled Lake $74,500 $35,000 $87,000 $34,110 17-28-106-099 96 Wixom Walled Lake $138,000 $66,600 $167,510 $73,790 17-28-377-010 96 Wixom Walled Lake $122,000 $53,800 $144,000 $62,820 17-29-378-018 96 Wixom Walled Lake $96,000 $43,200 $133,000 $53,180 17-29-381-014 96 Wixom Walled Lake $1 16,900 $48,800 $154,900 $59,660 17-30-152-001 96 Wixom Walled Lake $169,667 $14,200 $205,000 $90,650 17-30-177-020 96 Wixom Walled Lake $158,545 $33,800 $196,000 $87,610 17-30-251-033 96 Wixom Walled Lake $1 17,000 $49,500 $138,500 $62,180 17-31-326-016 96 Wixom Walled Lake $137,500 $51,000 $162,900 $70,000 17-32-451-003 96 Wixom Walled Lake $88,500 $37,300 $1 16,800 $41,630 17-32-454-013 96 Wixom Walled Lake $127,850 $1 1,000 $166,000 $71,430 17-21-484-025 EW Wolverine Lake Walled Lake $80,000 $31,800 $105,000 $41,400 17-27-180-004 EW Wolverine Lake Walled Lake $71,500 $28,600 $94,900 $36,300 17-27-278-013 EW Wolverine Lake Walled Lake $98,500 $37,300 $105,000 $37,500 17-27-279-014 EW Wolverine Lake Walled Lake $104,000 $44,400 $138,000 $56,300 Source: Author's Compiliation Note: The Sidwell represents the unique identifier for the property for legal and taxation purposes. 152 .5550 0:2an 95 0:038 82.030 32; .3256 5:on 08822 03 flow—6.5 .8000 55>? 0.3 8:50 2:. 6.5.0.5 30:00 .0550 a??? a “0 8.5%. .808 305552 2F ”8oz 050.0% 000.0% 005.5% 00 _ .5% 000.5% 5.0— 000— 00.0 _ 00.00 _ 5.00 05.00 .553 0 _ 0.0% 02.0% 055.0% 5 _ 0.0% 000.0% _ _.0 00.0 00.0 00.00 00. _0 Q. _0 00501 000.5% 000.0% 000.0% 055.0% 000.0% 00.0 000— 000— 05.00 0 _ .00 0 ~ .00 0:33:02 000.5% 050.5% 00 15% 000.5% 000.5% 000— 00.0~ 000— _0.00 00.00 00.00 200585 803 000.0% 20.0% 000.0% 000.0% 000.0% 00.0 00.0 00.0 50.00 00.00 _0.00 030.533 _05.5% _00.5% 000.5% 000.0% 005.0% 00.0 _ 000— —0.0_ 00.00 00.00 05.00 03 00:03 500.0% 500.5% 000.5% 00 _ .5% 500.0% _ _ .0 _ 00.0 _ 000— 00 .00 00.00 00.00 00.5. 55.0% 000.0% 000.0% 000.0% 00.0% 00.00 00.00 00.00 05.00 00.00 00.00 22.2500 500.0% 000.0% 050.0% 000.0% 000.0% 000— 00.: 00.: 00.00 00.00 00.0 :93 5:00 00_ .0% 000.0% 00 _ .0% 50 _ .5% 005.0% 00.0 _ 000— 5.0— 50. _ 0 00.00 00.00 020 .93."— 000.0% 000.0% 53.0% 055.0% 500.0% 000— 00.0_ 000— 00.00 00.00 05.00 56058.0 500.0% 000.0% 050.0% 000.0% 050.0% 00.0 00.0 00.0 00.00 00.00 05.00 80:00 02.0% 000.0% 000.0% 00.0% 0_ _.0% 00.0— 00.0_ 000— 50.00 50.00 _0.00 0.8.05 000.5% 00.5% 53.0% 000.0% 005.0% 00.3 00.0. 000— 00.00 00.00 00.00 0.30 030 00 0.5% 000.5% 000.0% 0_ 0.0% 000.0% 0 _ .5 _ 00.: 00.0. 00.00 00.00 00.00 .502 00 _ .0% 000.0% 000.0% 000.0% 000.0% 00.0_ 0 _ . Z 0 _._ _ 00.00 00. .0 00. _0 ”.8622 000.0% 00.5% 0 _ 0.0% 30.0% 80.0% 00. _0 00. _0 00.0_ 00.00 00.00 00.00 050053 000.0% 00 0.0% 03.0% 000.0% 000.0% 000— 00.0 _ 00._ _ 00. 00 00.00 00.00 car—O 8.3 505.0% 000.0% 00.0% 00.0% 000.0% 00.: 00.0 00.0 00.00 00.00 00.00 02:5 :05: 055.0% 000 .0% 000.0% 000.0% 000.0% 00.0 _ 05.0_ 00.5 00.00 50.50 50.00 0:0: _05.0% 20.0% 000.0% 000.0% 02.0% 00.0 00.0 00.0 00.00 00.00 00.00 #80 383 000.0% 000.0% 000.0% 050.0% 505.0% 00. 0 0 00.0 _ 00.5 00.00 00.00 00.00 0.00500 000.0% 000.0% 000.0% 000.0% 000.5% 00.00 00.00 00.00 _0.00 _0.00 00.00 28058.80 00.0% 000.0% 0 _ 0.0% 000.0% 000.0% 00.0 00.0 _ 0.0 _5. _0 00.00 50.00 gasps—U 050.0% _00.0% 000.0% 000.0% 000.0% 00. _ _ 00. _ _ 05.5 00 .00 00 .00 00.00 028120 00 _ .5% 000.0% 00.0% 505.0% 0 _ 0.0% 50.0 _5.0 00.5 0 _ .00 0 0.00 00.00 0:335:20 000.0% 000.0% 00.0% 000.0% 000.0% 00.0_ 00.0. 00.0_ 00.00 50.00 50.00 cow—"mum 000.. _% 0.0.05 000.— _% 000.2% 005.2% 00.5_ 00.5. _0.0_ 00.00 50.00 00.00 2:: 2008005 000.0 _ % 000.0 _ % 0 05.0% 000.0% 000.0% 55.0 _ 50.00 00.00 00.50 00.00 00.00 62055.00— 000.0% 000.0% _ 00 .0 % 000.0% 00 5.0% 00.0 _ 00.0 _ 00 .0 00.00 00. 00 00.00 002500 000.5% 000.0% 000.0% 000.0% 0 _ 0.0% 00.0 _ 00.0_ 050— 00.50 0 0.00 0 0.00 o_00=o>< 00.00 00:00 00-00 00-00 0040 50.00 00.00 0000 00-00 00-00 00-; 0:32 «3.5m:— .0230 2.093% =9:— 30 8.5— own—=2 .00—.00 as: ”£28m .23 a... 3:35 _85m 0550 e525 3. as; REFERENCES REFERENCES Aaron, Henry J. 1975. Who Pays the Property Tax? Washington DC: Brookings Institution. Addonizio, Michael F., C. Philip Kearney, and Henry J. Prince. 1995. “Michigan's High Wire Act.” Journal of Educational Finance. 20(Winter): 235-269. Bloom, Howard 8., Helen F. Ladd, and John Yinger. 1983. “Are Property Taxes Capitalized Into House Values?” in Local Provision of Public Services: The T iebout Model After Twenty Five Years, ed. George R. Zodrow, 145-63. New York, NY: Academic Press, Inc. Blume, Lawrence E. 1982. “The Sales and Use Taxes.” in Harvey E. Brazer and Deborah S. Laren, Eds., Michigan 's Fiscal and Economic Structure. Ann Arbor: The University of Michigan Press. Brazer, Harvey E., Deborah S. Laren, and Frank Yu-Hsieh Sung. 1982. “Elementary and Secondary School Funding.” In Michigan '3 Fiscal and Economic Structure, ed. H. Brazer and D. Laren, 411-446. Ann Arbor: The University of Michigan Press. Carroll, Robert J. and John Yinger. 1994. “Is the Property Tax a Benefit Tax?: The Case of Rental Housing.” National Tax Journal. 47(2): 295-316. Coons, John E., William H. Clune III, and Stephen Sugarrnan. 1970. Private Wealth and Public Education. Cambridge, MA: Harvard University Press. Courant, Paul N. 1982. “The Property Tax.” In Michigan '3 Fiscal and Economic Structure, ed. H. Brazer and D. Laren, 470-529. Ann Arbor: The University of Michigan Press. Courant, Paul N., Edward M. Gramlich, and Susanna Loeb. 1995. “Michigan's Recent School Finance Reforms: A Preliminary Report.” American Economic Review. 85(2): 372-77. Do, Quang A. and CF. Sirmans. 1994. “Residential Property Tax Capitalization: Discount Rate Evidence From California.” National Tax Journal. 47(2): 341-48. Dusansky, Richard, Melvin Ingber, and Nicholas Karatjas. 1981. “The Impact of Property Taxation on Housing Values and Rents.” Journal of Urban Economics. 10: 240-55. 153 154 F eldstein, Martin S. 1975. “Wealth Neutrality and Local Choice in Public Education.” American Economic Review. 65(1): 75-89. Fisher, Ronald C. 1996. State and Local Public Finance. Chicago: Richard D. Irwin, Inc. Gabriel, S. A. 1981. “Interjurisdictional Capitalization Effects of Proposition 13 in the San Francisco Bay Area.” National Tax Association Proceedings. 263-71. Gravelle, Jane G. 1994. The Economic Effects of Taxing Capital Income. Cambridge, Massachusetts: MIT Press. Gronberg, Timothy J. 1979. “The Interaction of Markets in Housing and Local Public Goods: A Simultaneous Equations Approach.” Southern Economic Journal. 46: 445-59. Guilfoyle, Jeffrey P. 1997. “The Effect of Property Taxes and School Spending on x. House Prices: Evidence from Michigan’s Proposal A.” Unpublished Working Paper. Hamilton, Bruce W. 1976. “Capitalization of Intrajurisdictional Differences in Local Tax Prices.” American Economic Review. 66(5): 743-53. . 1983. “Is the Property Tax a Benefit Tax?” in Local Provision of Public Services: The T iebout Model After Twenty Five Years, ed. George R. Zodrow, 85- 107. New York, NY: Academic Press, Inc. Harberger, Arnold C. 1962. “The Incidence of the Corporate Income Tax.” Journal of Political Economy. 70(3): 215-40. Harmon, Oskar R. 1988. “The Income Elasticity of Demand for Single-Family Owner- Occupied Housing: An Empirical Reconciliation.” Journal of Urban Economics. 24(2): 173-85. Heckman, James J. and V. Joseph Hotz. 1989. “Choosing Among Alternative Nonexperimental Methods for Estimating the Impact of Social Programs: The Case of Manpower Training.” Journal of the American Statistical Society. 84(408): 862-75. Hobson, Paul. 1986. “Land Rents, Optimal Taxation and Local Fiscal Independence in an Economy with Local Public Goods.” Journal of Public Economics. 15(1): 59- 85. Kearney, Philip C. 1994. A Primer on Michigan School Finance 3rd Edition 1994. Ann Arbor: Educational Studies Program, The University of Michigan. 155 King, A. Thomas. 1977 “Estimating Property Tax Capitalization: A Critical Comment.” Journal of Political Economy. 85(2): 425-31. Krantz, Diane P., Robert D. Weaver, and Theodore R. Alter. 1982. “Residential Property Tax Capitalization: Consistent Estimates Using Micro-Level Data.” Land Economics. 58(4): 488-96. Lea, Michael J. 1982. “Local Tax and Expenditure Capitalization: Integrating Evidence From the Market and Political Processes.” Public Finance Quarterly. 10(1): 95- 117. Michigan State Board of Education. 1991. Bulletin 1014: Michigan K—12 School Districts Ranked by Selected Financial Dat «1991-92. Lansing: The State Board. Mieszkowski, Peter. 1972. “The Property Tax: An Excise Tax or a Profits Tax?” Journal of Public Economics. 1(1): 73-96. Mieszkowski, Peter and George R. Zodrow. 1989. “Taxation and the Tiebout Model: The Differential Effects of Head Taxes, Taxes on Land Rents, and Property Taxes.” Journal of Economic Literature. 27: 1098-1 146. Netzer, Dick. 1966. Economics of the Property Tax. Washington DC: Brookings Institution. Oates, Wallace E. 1969. “The Effects of Property Taxes and Local Public Spending on Property Values: An Empirical Study of Tax Capitalization and the Tiebout Hypothesis.” Journal of Political Economy. 77(6): 957-71. Office of Revenue and Tax Analysis, Michigan Department of Treasury. 1994. Michigan ’s Sales and Use Taxes 1994. Lansing, MI. —. 1996. Michigan 's Cigarette and Tobacco Taxes 1996. Lansing, MI. Pechman, Joeseph A. 1985. Who Paid the Taxes, 1966—85? Washington, DC: The Brookings Institution. Poterba, James M. 1996. “Retail Price Reactions to Changes in State and Local Sales Taxes.” National Tax Journal. 49(2): 165-76. Reschovsky, Andrew. 1994. “Fiscal Equalization and School Finance.” National Tax Journal. 47(1): 185-97. Richardson, DH. and R. Thalheimer. 1981. “Measuring the Extent of Property Tax Capitalization for Single Family Residences.” Southern Economic Journal. 482674-89. 156 Ring, Raymond J. 1989. ”The Proportion of Consumers’ and Producers’ Goods in the General Sales Tax.” National Tax Journal. 42(2): 167-79 Rosen, Harvey S. and David J. Fullerton. 1977. “A Note. on Local Tax Rates, Public Benefit Levels, and Property Values.” Journal of Political Economy. 85(2): 433- 40. Rosen, Kenneth. 1982. “The Impact of Proposition 13 on House Prices in Northern California: A Test of the Interjurisdictional Capitalization Hypothesis.” Journal of Political Economy. 90(1): 191-200. Rubinfeld, Daniel L. and Robert W. Vishny. 1982. “Property Tax Reduction in Michigan.” in Harvey E. Brazer and Deborah S. Laren, Eds, Michigan ’s Fiscal and Economic Structure. Ann Arbor: The University of Michigan Press. Samuelson, Paul A. 1954. “The Pure Theory of Public Expenditures.” Review of Economics and Statistics. 36(4): 387-89. Simon, Herbert A. 1943. “The Incidence of a Tax on Urban Real Property.” Quarterly Journal of Economics. 59(3): 398-420. Sung, Hai-Yen, Teh-Wei Hu, and Theodore E. Keeler. 1994. “Cigarette Taxation and Demand: An Empirical Model.” Contemporary Economic Policy. 12(3): 91-100. Thomson, Procter. 1965. “The Property Tax and the Rate of Interest.” in The American Property Tax. ed. George S. Benson et al. 111-98. Claremont, CA: Lincoln School of Public Finance. Tiebout, Charles M. 1956. “A Pure Theory of Local Expenditures.” Journal of Political Economy. 64(5): 416-24. US. Bureau of the Census. Statistical Abstract of the United States 1995 and 1997. Washington, DC. Wassmer, Robert W. 1993. “Property Taxation, Property Base, and Property Value: An Empirical Test of the ‘New View’.” National Tax Journal. 46(2): 135-59. Wassmer, Robert W. and Ronald C. Fisher. 1996. “An Evaluation of the Recent Move to Centralize the Finance of Public Schools in Michigan.” Public Budgeting and Finance. 16(3): 90-112. Yinger, John. 1982. “Capitalization and the Theory of Local Public Finance.” Journal of Political Economy. 90(5): 917-43. 157 . 1985. “Inefficiency and the Median Voter: Property Taxes, Capitalization, Heterogeneity, and the Theory of Second Best.” in Perspectives on Local Public Finance and Public Policy, Vol. 2. ed. J .M. Quigley. Greenwich, Connecticut: J AI Press. Yinger, John., Howard S. Bloom, Axel B—ursch-Supan, and Helen F. Ladd. 1988. Property Taxes and House Values: The Theory and Estimation of Intrajurisdictional Property Tax Capitalization. San Diego, CA: Academic Press, Inc. Zodrow, George R. and Peter Mieszkowski. 1983. “The Incidence of the Property Tax.” in Local Provision of Public Services: The T iebout Model After Twenty Five Years, ed. George R. Zodrow, 109-29. New York, NY: Academic Press, Inc. "‘lllllllllllllllEs