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    Doing Well by Internalizing a Good Externality 1

    Doing well by internalizing a good externality: Combining House Price Capitalization

    with Altruistic Strategies

    Brock Lacy

    London School of Economics and Political Science

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    Doing Well by Internalizing a Good Externality 2

    Abstract

    Could a developers strategy of discounting land for a new public school increase

    their profits? This papers hypothesis is that by wielding an understanding of house

    price capitalization of schools, a developer could increase the price of their houses

    above the costs of the discounting of said land. Thus a developer could do well by

    doing good. This is then a study of the use of an internalization of an externality

    strategy. In 2006, a new school location was announced in a rural county in Utah

    State. The price of the school site was discounted by the developer. Using historical

    sold house price data collected from the Multiple Listing Services the house price

    capitalization of the new school was tested. The method used to test the

    capitalization rate was a difference in differences analysis; with the unaffected

    portion of the county as the control group. Once the capitalization rate was found the

    profit of the internalization strategy would be estimated by weighing the cost of the

    discount to the developer against the projected capitalization across their

    subdivisions. The analysis finds a zero capitalization of the announced school into

    house prices, rendering the profit estimation unnecessary. It is set forth that this may

    be due to the plentiful developable land in the treatment group. Therefore it is argued

    that in areas with less developable land, such a strategy may indeed lead to increased

    profits. Further research into this strategy is discussed and recommended.

    Keywords: capitalization, internalization, strategy

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    Doing Well by Internalizing a Good Externality 3

    Table of Contents

    Introduction 4

    Literature Review 6

    Data 13

    Method 15

    Results 23

    Conclusions 27

    References 29

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    Doing Well by Internalizing a Good Externality 5

    The analysis will be focused on a rural community in Utah State; this community can be

    characterized as a fast growing community not too distant from the central business district

    (CBD). The community in question had out grown the only elementary school in the whole of

    the school district and thus the districts school board deemed it necessary to construct a new

    school. A developer with two large subdivisions in this community deeply discounted the land

    for the school site. This then leads to a situation where the above strategy question could be

    answered. Could the strategy of doing good, by discounting the price of the land for the school,

    raise the house prices enough where this seemingly altruistic action actually turned a profit? To

    the extent that the confluence of house price capitalization of the announced new school and the

    decision to discount the schools building lot is found to be profitable this paper will then attempt

    to make a recommendation concerning the usefulness of such a strategy.

    The analysis will be derived from sold house prices obtained from the multiple listing service

    (MLS). The method used to estimate the effect of the new school announcement on house prices

    will be a difference in differences analysis. Once the capitalization of the new school is found it

    will then be used against the cost of the discount from the developer to find the profit of the

    discounting of the land. The fitness of the control group to the treatment group was found to be

    balanced using the propensity score matching (PSM) technique. The window of analysis will be

    three years prior to the announcement and three post the school location announcement. The

    difference in differences estimator renders an estimate of 0.8 percent capitalization of the new

    school into house prices. However the estimation is found to be statistically insignificant, thus

    rendering the next steps of the profit estimation useless. The zero capitalization of the new

    school is hypothesized to have occurred due to potentially a number of reasons: uncertainty,

    limited data, time lags, and a plentiful supply of developable land. Although the results from the

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    Doing Well by Internalizing a Good Externality 6

    analysis renders a zero capitalization of the new school into house prices and thus could suggest

    that this strategy should not be recommended, there are limitations which throw doubt onto such

    a conclusion. Thus this paper will recommend further study of such a strategy and discuss the

    potential scenarios in which this strategy could be profitable. This paper will be outlined as

    follows I) Introduction, II) Literature Review, III) Data, IV) Method, V) Results, VI)

    Conclusions.

    II) Literature Review

    No discussion of house price capitalization of schools would be complete without mention of the

    influential paper by Oates (1969). While pursuing evidence of the Tiebout (1956) hypotheses,

    Oates made the following argument:

    [T]here is some reason to believe that the Tiebout hypothesis may be relevant to the real

    world:Individuals working in a central city frequently have a wide choice of suburban

    communities in which to reside, and the quality of the local public schools, for instance,

    may be of real importance in the choice of a community of residence. If this is true, the

    outputs of public services (as well as taxes) should influence the attraction of a

    community to potential residents and should thereby affect local property values. (p. 958)

    In his subsequent analysis Oates found that per pupil expenditure has the effect of increasing

    house prices, while property taxes decrease house prices. Oates argued that this is evidence that

    the Tiebout hypothesis is operative, the true meaning of Oates findings were clarified by

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    Chaudry-Shah (1988) .. the Tiebout mechanism of foot-voting does operate, but it does not

    imply that the local public services are provided efficiently (p.210). Although it is widely held

    that Oates research is not the conclusive evidence of the Tiebout hypothesis he sought, his paper

    has helped to spur the investigation of the capitalization of all types of externalities into house

    prices, and is one of the first steps toward an empirical understanding of house price

    capitalization.

    There has been ample research since the Oates paper regarding the capitalization of schools. The

    majority of papers find that schools have an important impact on house prices. This paper will

    highlight a few of this research but would like to note that the papers heretofore mentioned

    represent but a small portion of the empirical work.

    The majority of house price capitalization of school research is predicated off hedonic analysis.

    Hedonic analysis is especially sensitive to omitted variable bias, thus much of the past analysis

    used methods and models that attempt to limit this bias. One such method was developed by

    Black (1999) wherein she used what is called Boundary Fixed Effects (BFE). The basic idea is

    to find houses that are sold on either side of the school catchment boundary, thus it is argued that

    these houses are in the same neighborhood and subsequent neighborhood quality is then

    controlled for. Using this technique she finds that a 5 percent increase in test scores leads to a

    2.1 percent increase in house values. She checks the robustness of her results by making the

    analysis area around the catchment boundary smaller and smaller and finds that her results do not

    change significantly. The BFE method has been used by others in varying degrees to test the

    house price capitalization of school quality (Bayer, Ferreira, & McMillan, 2007; Clapp, Nanda,

    & Ross, 2008; and Dhar & Ross 2010). However, there are some who argue that BFE may not

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    Doing Well by Internalizing a Good Externality 8

    be a sufficient control for neighborhood quality. Gibbons, Machin, and Silva (2009) illustrate a

    potential failure of the BFE technique with the following :

    [A] situation could arise if, for example, one attendance zone contained a rail station and

    another did not. This would then result in higher prices, richer families and better

    schools in the station zone, and a spatial trend in house prices rising across the

    boundary towards the station..Hence we could find a correlation between house prices

    and school quality amongst closely space neighbors that is not caused by the demand for

    school quality, but a residential sorting that is a consequence of demand for rail access.

    (p. 9)

    This potential bias is echoed by Kane, Riegg, and Staiger (2006) as they stated, to the extent

    that this sorting occurs, it will bias boundary estimates toward finding a positive association

    between school quality and property value, unless one fully controls for these differences across

    boundaries (p. 194). Nguyen-Hoang and Yinger (2011) discuss one more potential bias of the

    BFE approach. This was the uncertainty argument put forth by Cheshire and Sheppard (2004)

    and Zahirovic-Herbert and Turnbull (2008); which is that households living close to a boundary

    place a lower weight on across-zone boundaries because they believe that these boundaries might

    change, as they occasionally do (p. 33). Cheshire and Sheppard (2004) take it a step further and

    postulate that the potential for uncertainty could be strongest in the peripheral areas with

    relatively more new construction.

    Additionally, there are some derivations of BFE that have been used in past research as well. In

    particular importance to this paper is the difference in differences technique. Difference in

    differences has been used in a myriad of ways. Recently it has been employed to gauge the

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    Doing Well by Internalizing a Good Externality 9

    effect of changing school quality via change in school catchment zones. In this way the

    difference in differences estimator can be used to find the capitalization of school quality in

    house prices. One of the first uses of difference in differences to estimate school quality

    capitalization was Bogart and Cromwell (2000). They examine the changing of catchment

    boundaries in Shaker Heights, Ohio in 1987. One of the reasons for the change was to integrate

    more of the poor minority students with the richer white students. Bogart and Cromwell (2000)

    argued that the change in the boundaries could have two effects. The first of which was the

    neighborhood schools effect (Bogart and Cromwell, 2000, p. 281) wherein if the boundary

    change resulted in the loss of a local school then parents might find it more difficult to be

    involved and potentially make it harder for students to be involved with after school activities

    which effects they argued, could damage the quality of the school. The second was the racial

    composition effect. (Bogart & Cromwell, 2000, p. 281) This effect would possibly drive house

    prices down if there were prejudice in the community. In their analysis they use standard

    house structure variables such as age of house, lot size, and living area. They include third grade

    reading test scores as the variable for school quality. The difference in differences estimation of

    school quality and the related theoretical effects were all the more meaningful as only elementary

    catchment boundaries were changed, while all students attend the same high school. This in

    theory controlled for omitted high school changes that could also affect house prices, the

    importance of which was discussed by Nguyen-Hoang and Yinger (2011). Bogart and Cromwell

    (2000) attempt to control for omitted variable bias by including variables for neighborhoods;

    percent nonwhite and house construction quality grade. Using a log linear OLS they find that

    their difference in differences estimator of the effect of the change in catchment boundaries

    decreased house prices by 9.9 percent.

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    In a similar paper Ries and Somerville (2010) examine the effects of changing school catchment

    zones on house prices. Their area of study was Vancouver, British Columbia, Canada. In

    September of 2000, the Vancouver School Board announced plans to alter school boundaries,

    which affected 20 percent of houses. Ries and Somerville (2010) argued that examining school

    quality in Vancouver had advantages: there is a single tax rate and a more standardized level of

    municipal services (p. 930) and the racial issues that so pervade location decisions in the

    United States are not as present (p. 930). They added house preference and location are

    somewhat unbundled (p. 930) this they argued is evidenced by the small percentage of

    observations from condominiums (p 930). Ries and Somerville (2010) found that when a repeat

    sales index is used as opposed to the cross-sectional hedonic regression, bias from omitted

    variables is dampened. They discover that the school boundary change had little to no effect for

    all groups except those houses in the highest quartile price range. This result echoes Chiodo,

    Hernandez-Murillo, and Owyang (2010) and Cheshire and Shepherd (2004). Interestingly

    enough the effect of changing an elementary school was statistically insignificant as the analysis

    became more sophisticated (moving from cross sectional hedonic analysis to repeat sales index).

    There has been some research concerning the effect of school infrastructure investment on house

    prices. The most salient to this paper, would be research conducted by Cellini, Ferreira, and

    Rothstein (2010). Using the principle of house price capitalization, they employ regression

    discontinuity design to find the effect of school facility investments on house prices. They

    contend that there is good reason to expect school facility investment to have a positive effect on

    house prices. Beyond the potential effect of improved outputs (higher marks, grades,

    graduation), Cellini et al (2010) reasoned that capital investments may also lead to

    enhancements in student safety, athletic, and art training, the aesthetic appeal of the campus, or

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    Doing Well by Internalizing a Good Externality 11

    any number of other nonacademic outputs (p. 222). Using the passage of closely contested

    school facility investment bonds in California their analysis finds the approval of said bonds

    caused house prices in a district to rise by about 6 percent. Cellini et al (2010) argued that this

    effect appears gradually over the two or three years following the elections and persists for at

    least a decade (p. 218). Cellini et al (2010) submit that the effect of school facility investment

    on house prices is gradual due to construction lags and school quality signals. Thus the full

    effect of the new school or school investment on house prices and property could take some time

    and therefore build momentum as time progresses.

    Research concerning capitalization of externalities (e.g. house price capitalization of schools) has

    potential for recommendation of business strategy; to this end there has been some academic

    research. One such research paper was authored by Pashigian and Gould (1998). They

    hypothesized that anchor tenants in shopping malls drive foot traffic. This increase demand for

    access to these anchor tenants could increase the sales of non-anchor tenants. Thus they argue

    that non-anchors could free ride off the success of their anchor tenants. Pashigian and Gould

    (1998) theorize that developers could internalize this anchor externality by charging less rent to

    anchors and more rent to a non-anchor tenant; in a sense it is a rent premium for non-anchors to

    access traffic driven by the anchor. Using a tri-year survey conducted by the Urban Land

    Institute they found that anchor tenants paid 72 percent less than their non-anchor neighbors. As

    Pashigian and Gould (1998) interpret their results [t]hose externalities are internalized by the

    developer through store rents. Our evidence indicates that the external economics created by

    anchors are reflected in the lower store rents paid by anchors (p. 140). They further clarify the

    strategy of discounting rent for anchors relative to non-anchors by developers as rational

    because they know that anchors attract customers to the mall and increase the sales of other

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    Doing Well by Internalizing a Good Externality 12

    mall stores (p. 140) A similar result is found in Benjamin, Boyle, and Sirmans (1992), wherein

    they find that rent falls as shopping center stores sales increase. Brueckner (1993) examines a

    similar shopping center strategy for developers. His analysis is concerned with inter-store

    externalities, similar to the Pashigian and Gould (1998) analysis. In particular he is concerned

    with the size of stores within shopping centers and the effect of store size on the sales of other

    stores within the shopping center. He developed a model that claims that a profit maximizing

    developer will choose store sizes that make the shopping center more attractive and thus increase

    the inter store externalities for all of the shopping center.

    The above surveyed literature concerning the strategy of internalizing externalities have been

    constrained to the non-residential real estate market. This is due to the dearth of academic

    research regarding residential internalization of externalities strategies. However one paper that

    is significant to this essay is from Thorsnes (1998). He was interested in a strategy which would

    lead to a greater capitalization of local amenities. He reasons that a larger subdivision should

    lead to greater capitalization of said amenities. He used sales of building lots to test his

    hypotheses. Thorsnes (1998) explains that the advantage of sold building lots over sold houses

    are twofold the value of amenities is capitalized into the sale price of the building lots and the

    many characteristics of the house need not be controlled for (p. 398). The analysis of these

    observations renders the following result: that adding one additional acre to the median

    subdivision would increase the sales price of a building lot by 3 percent.

    A seemingly tangential bit of literature is appropriate to note here. Hilber and Mayer (2009)

    asked: Why childless households would support increases in school spending? (p. 74). They

    argued that per pupil expenditure is more positively capitalized in those areas with less

    developable land.(p.74). Or in other words, areas which are seemingly characterized by more

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    inelastic supply of housing have higher capitalization of schools than more elastic areas. This is

    potentially of crucial importance to this papers analysis as the area in which the treatment

    occurred had plenty of developable land and thus one could argue was relatively characterized by

    elastic supply.

    Theory and past research could with reason lead to the fundamental question of this paper: Could

    the discounting of land for a new school be profitable for a developer? This paper submits that

    in theory the answer to this question should be in the affirmative. That is there is good reason to

    expect that under the right circumstances a potentially altruistic act could in fact be economically

    rational.

    III) Data

    The data used for this analysis was collected from the MLS. The MLS is an internet site that

    lists prices for houses but also carries historical sold house prices for given regions or cities.

    Prior to treatment date and time period selection the data included over 750 observations from

    both the treatment and the control area. These observations ranged from 2001 to 2012.

    Nevertheless this kind of data is not without potential problems. Parmeter and Pope (2009)

    described one of the weaknesses of MLS data by the following:

    [R]ealtors are typically not required to fill in all of the fields within the MLS system. For

    example, some realtors may consistently input information on the type of flooring in the

    house whereas others may not. Furthermore, it is likely that realtors are selective on the

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    IV) Method

    The lynchpin of difference in differences analysis is the correct selection of the treatment and the

    control group. Similarly to Bogart and Cromwell (2000) all students in both groups attend the

    same high school after the school announcement; thus controlling for the potential bias of the

    effect of differing high school quality. The treatment area was confined to Mountain Green and

    Peterson Utah, while the control group contains all other cities in the school district (Morgan,

    Milton, and Croydon). Table I illustrates some demographics via the US Census Bureau (2010a)

    (2010b). The Mountain Green area is an unincorporated city located 35 miles northwest of the

    CBD. Mountain Green is characterized as a rural area in a mountainous canyon close to ski and

    snow resorts. According to the US Census Bureau (2010a) Mountain Green had a population of

    2,309. Although the city is relatively small it is rather prosperous with a median household

    income in 2010 of 95,263 dollars (US Census Bureau, 2010b). However, this statistic may be a

    little misleading if one does not consider the interval in which this median household income is

    derived. The US Census Bureau estimates at a 90 percent confidence interval with a margin of

    error of 35,327 dollars. When considering other control areas this margin of error is

    substantially larger. Thus although the measure of income in the treatment area is somewhat

    larger than the commensurate number for the control area, it has a rather large range which needs

    to be kept in mind when comparing the two areas.

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    Table I.Demographics*

    Mountain Green Morgan City

    Population 2,309 3,687

    Median Household Income $ 95,263.00 $ 60,781.00

    White 98.90% 99.5%

    Mean House Price 2003 -2009 $ 358,223.79 $ 253,653.15

    Industry Employed:

    Agriculture 2.90% 2.00%

    Construction 14.90% 11.70%

    Manufacturing 12.00% 14.20%

    Wholesale Trade 1.40% 3.40%

    Retail Trade 8.80% 15.20%

    Transportation 10.70% 2.80%

    Information 0.00% 0.60%

    Finance, Insurance, Real Estate 4.90% 6.20%

    Professional 7.10% 2.70%

    Education 16.90% 20.20%

    Arts 9.50% 4.30%

    Other 0.80% 3.10%

    Public Adminstration 10.00% 13.60%

    * - US Census Bureau, 2006-2010 American Community Survey

    The control area which will from here forth be referred to as Morgan City (although there are

    few other smaller cities included in the control group there are only limited observations from

    these cities and Morgan is by far the largest of these cities). Morgan City is the seat of the

    Morgan County government and the Morgan School District. Morgan City is located

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    approximately 10 miles from the treatment area, Mountain Green. Referencing the US Census

    (2010), it was estimated that Morgan City had a population of 3,687. Although Morgan has a

    larger population than Mountain Green, its median household income is much smaller, as

    estimated at 60,781 dollars (US Census Bureau, 2010b). This measure of centrality for Morgan

    City has a much smaller range in the confidence interval as opposed to Mountain Green at only

    plus or minus 12,891 dollars. Both measures of income are relatively higher than the Utah

    States median income (56,330 dollars) (US Census Bureau,2010c). In theory one would expect

    the effect of schools to be more highly capitalized in neighborhoods with higher income (such as

    Mountain Green) as per the findings of Cheshire and Sheppard (2004) and Chiodo et al (2010).

    Precedence for using the non-affected area of the school district as the control group was set

    forth by Bogart and Cromwell (2000) and Ries and Somerville (2010). Bogart and Cromwells

    (2000) treatment and control group are located in the same school district and prior to the

    announcement of the policy attended the same elementary school. Similarly to Bogart and

    Cromwell (2010) all students in both groups attend the same high school after the policy

    announcement; thus controlling for the potential bias of the effect of differing high school

    quality. The selection of the control group was also influenced by Cellini et al (2011). The

    preliminary reasoning was that a new elementary school in the Morgan County School district

    represented two events 1) a potential change in school catchment boundaries and 2) a new school

    structure. Thus the use of Morgan City as the control group seemed logical as the boundaries

    were affected, but the students in Morgan would not be changing or losing their school, thus they

    would be unaffected. In addition the proximity of the two areas to one another, the relative

    shared amenities, the approximately same distance to the CBD, the unincorporated nature of

    Mountain Green (in a very real sense this meant that the county was the political power over

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    the propensity scores of the treated and the control groups are balance. To insure whether the

    control group and treatment group do match according to the PSM, the data was analyzed and

    was found that the matching principle was satisfied via STATA.

    There is repeated numerous times throughout house price capitalization literature the importance

    of controlling for neighborhood quality, especially for BFE analysis and its derivations. As the

    treatment area and the control area are relatively small in population and they share some

    important characteristics, (e.g. high school and elementary school prior to the school

    announcement, distance to CBD, terrain, and size) it seemed reasonable to view the two analysis

    areas as neighborhoods within in the school district. One more neighborhood variable which

    will be included from the data is sold houses in the developers subdivisions. Upon examination

    of the results, it is shown that these subdivisions command a premium and increase the

    robustness of the model used.

    Difference in differences analysis is an attempt to find the causal effect of policy change or an

    event on a dependent variable. As such the analysis used the following log linear equation:

    Ln(V) = X + Z + W +

    This regression was ran using OLS to find the difference in differences estimator W, meaning

    post treatment date and treated area; while Z is the dummy variable for post treatment but not

    controlled for treatment group. V is the sold house price. X is a vector of both structural

    characteristics and neighborhood characteristics including dummy variables for year sold. An

    additionally crucial point for estimation of the effect of the school on house prices is to identify

    the treatment period or event. As this discussion pivots on when the market knew the school

    would be a reality in Mountain Green. The researcher was able to identify potentially three

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    different signals to the market that the school would indeed be located in Mountain Green.

    These three are: 1) the announcement of the land purchase at a discount by the school district, 2)

    the passing of the school bond, and 3) the announcement of the decision regarding where to

    locate the school. First the announcement of the land purchase at a discount. Although the exact

    date of the land purchased is not publically known, it is within reason to assume that it became

    publicly known on July 1st 2007. The day in which the local newspaper published an article

    discussing the purchase but not noting the date; however the article in question did discuss the

    discount of the land for the school structure. According to the newspaper article, the company

    building the expansive subdivision around the new elementary school, sold the 10-acre school

    site for a very reasonable price of about $15,000 per acre, or almost $150,000 (Winterton,

    2007, p. 4B).

    The second potential treatment date may have been the passing of the bond for the new

    elementary school. The voting regarding the bond was to be held in early November 2006.

    Prior to the successful passing of the bond, there were two previous attempts to secure funding

    for a new elementary school in Mountain Green. In both 1999 and 2000 the Morgan School

    District had posted referenda for the school bond, however both times the bond for the

    construction of a new school was defeated by the slimmest of margins (both times the bond

    failed by less than 12 votes) (Winterton, 2006a). The impotence for this bond was the dire need

    for bigger facilities. As one journalist noted, While Morgan Elementary's enrollment hovers at

    800, the average elementary enrollments in surrounding school districts are much lower

    (Winterton, 2005). Another compelling argument for the use of the bond passing as the

    treatment date concerns the markets ability to predict its success. This is evidenced by the

    failures of two bonds seven years early explicitly concerning the new elementary school in

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    Mountain Green. This gives credence for the bond passing as a potentially unanticipated event

    and a logical position for the treatment period.

    The last potential treatment period considered was the announcement of the school location. In a

    school board meeting on January 10th

    2006 the school board announced its desire to build in the

    developers subdivision (Winterton, 2006b). Although the final decision for the location of the

    school site was not decided at the meeting, it was later decided that it would be built in the

    subdivision.

    As one could imagine all of the treatment periods listed above were not without deficiencies.

    The announcement of the school discount via the newspaper article does not give a date for

    which the purchase was completed. Additionally it is hard to argue that this in anyway should

    effect the price of houses within the treatment area; one could conceivably argue that this was a

    signal to the market of the developers commitment to the school, but if that were the case then

    the analysis would measure the effect of the developers commitment to the school not the value

    of the school. This would in theory measure the marketing value of the discount. This date was

    rejected as the treatment date. The school bond is seemingly the best treatment date, however

    there are some glaring holes upon further examination. Perhaps the biggest of these holes is the

    potential leakage of the passing of the bond into the control group. The bond was not only for

    the construction of a new elementary school in Mountain Green but also for substantial upgrades

    and renovation for the control groups elementary school and high school. It is within reason to

    assume that the treatment group and the control group could potentially be affected by the bond

    passing, and the treatment date is analyzing more than just the effect of the new elementary

    school but of the investment in the high school if a different control group were to be used. It is

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    with this reasoning that the announcement of the school site was used as the treatment date. It

    had been known prior to the announcement of the selection of the school site that the school

    board was deliberating certain locations, even to the point where the location was narrowed

    down to a few locations including the final location prior to the final announcement. However, it

    is the cleanest of the three treatment dates. It is the earliest concrete announcement from the

    school board concerning the new elementary school and its location. It only concerns the effect

    of the new elementary school on the treatment area with potentially little to no leakage to the

    control group. The selection of the announcement of school location is not perfect either. As

    mentioned earlier there were discussions by the school board concerning the site of the proposed

    elementary school prior to this announcement and thus the market knew that there was a

    deliberation. However, as far as this researcher could gather there was no deadline for selection

    and no indication of when the decision would be finalized. This gives rise to the argument that

    the effect of the new elementary school would not be capitalized prior to this date.

    The final proposed step would be to project the profit from the discounting of the land for the

    developer. This would include taking the capitalization of the new school from the difference in

    differences estimator of the new school and then projecting that onto vacant lot prices into the

    future. Unsold lots would be discounted at the market capitalization rate and at the average time

    to sell provided by the developer. However, as the results from the analysis indicate a zero

    capitalization rate this step will not be pursued.

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    IV) Results

    Before running the analysis the data was observed to contained some variance that if not

    smoothed out, could likely cause bias. It is to this end that outliers were removed to make the

    data more manageable. The results of the difference in differences analysis are found in Table II.

    These results were obtained by running the OLS regression robustly through STATA software.

    The results seem to have an overall good measure of fit with an adjusted R-Square of 0.8465. To

    further strengthen the argument of the model as a good fit, all the results have the correct signs.

    What is more, all of the structural and neighborhood characteristics are statistically significant.

    A home buyer would pay a premium for additional acreage, bathrooms, bedrooms, and to finish

    more of the basement. On the contrary the sign of the age of the house is negative and

    statistically significant. Additionally one would pay a

    premium to buy a home in the Mountain Green treatment area as opposed to the Morgan City

    control area. To illustrate one would have to pay approximately 10 percent more for the same

    house in Mountain Green. The result is similar (and expected) for the developers subdivision.

    One would have to pay approximately an additional 6.1 percent to buy the same house in any of

    the developers subdivisions. However the statistical significance of this result is minimum at 20

    percent level of significance. This may be due to the relatively few observations permitted from

    the MLS. Given the quality of the subdivision one would suspect that this coefficient should

    indeed be significant. Additionally the results indicate that the there was a premium for all

    houses sold after the announcement of the school location. This result is not statistically

    significant from zero. Although the year dummy variables were not included in the results

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    presented in Table II, they were included in the regression, the results of which have the

    expected signs but have varying degrees of significance.

    Table II

    Difference in Differences Results

    VariableCoefficient

    (standard error)

    ln acres 0.1376***(0.0121)

    percent basement finished 0.0444***(0.0199)

    total bathrooms 0.0264***(0.0114)

    total square feet 0.0001***(0.0000)

    age of house -0.0119***(0.0009)

    age of house squared 0.0001***(0.0000)

    Developer's Subdivison0.0611*(0.0449)

    Treatment Area (Mountain Green and Peterson) 0.1007***(0.0313)

    Post School Site Announcement 0.0196(0.1503)

    Post School Site Announcement and TreatmentArea 0.0084

    (0.0361)

    R - Squared 0.8465

    * - 20% level of signficance

    *** - 5% level of signficance

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    Turning to the results of the differences estimator, the coefficient has the sign that would be

    predicted by theory. Just like Cellini et al (2010) the announcement of the school location has a

    positive effect on house prices. However, the results are statistically insignificant from zero.

    Furthermore this result should not be considered unusual as the results are similar to Ries and

    Somerville (2010), with less data and without the benefit of repeat sales index. Although this

    prevents the implementation of the proposed methodology to test the profitability of the

    discounting land for the school strategy, it does beg the question: Why would the results be

    insignificant from zero? Referencing the work of Chiodo et al (2010), Cheshire and Sheppard

    (2004), and Ries and Somerville (2010) it could be expected that due to the higher house prices

    in Mountain Green coupled with the higher median income, that there would be rather strong

    capitalization of the new school. However, there are copious potentials for why it was an

    essentially zero capitalization. One reason is that the control group and the treatment group may

    not be matched. One must note the limitations of PSM. PSM requires a large data sample. It

    could be argued that this was requirement was not met with the observations available from the

    MLS. Additionally there are a few theoretical reasons why there would be capitalization of the

    announcement of the new school location that was statistically insignificant from zero. There are

    more explanations not discussed here, this paper will try to outline a few the researcher believes

    are most salient. They are: 1) uncertainty, 2) limited data, 3) time lags and 4) plentiful

    developable land.

    First, the uncertainty proposal is championed by Cheshire and Sheppard (2004). From their

    analysis they argue that [s]chool quality also appears to be significantly and additionally

    discounted in areas in which new construction is concentrated. They continue, it reflects

    uncertainty as to future changes in school catchment areas in such neighbourhoods and so

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    uncertainty as to what school an address will in future be assigned. This argument is

    strengthened when the projections of growth in the whole of Morgan County. As projected by

    the Utah Governors Office of Planning and Budget (2008), Morgan County will experience an

    average annual growth rate of 3.8 percent; making Morgan County the second fastest growing

    county in the state. This kind of projected growth could lead to uncertainty concerning the

    schools boundaries and quality. Second, the data used to perform the analysis was rather

    limited and therefore could cause some questions concerning the legitimacy of any conclusions.

    It is within reason to assume that with more observations and with more variables one could

    draw more robust conclusions, however this analysis did not have that privilege and was left to

    suffice as best as possible. Thirdly, Cellini et al (2010) found that it took three to four years for

    the increase in house prices from the passage of the school bond. Furthermore it could take time

    for the value of the school to grow and signal its quality to the market. Fourth, the area both in

    Mountain Green and in Morgan City could be characterized as rural, with plenty of developable

    land or could be characterized as having elastic supply. This could affect the capitalization as

    Hilber and Mayer (2009) observed. With their results in mind it could be expected that in

    regions with plenty of developable land that the capitalization of schools into house prices could

    be zero. This is potentially due to the ease at which other home owners can access the school

    without increasing their bids accordingly. Although all of these arguments potentially have merit

    it is the elastic supply argument that is the most salient for this area. However,, it should be

    stressed that none of the other arguments are rejected as potential explanations.

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    VI) Conclusions

    Will discounting land for a new school be profitable for a developer? The answer is similar to so

    many other answers in economics: it depends. If the explanation that elastic supply is driving the

    zero price capitalization of the new school is believed, then it may increase house prices if the

    supply in the area that will allow access to that new school is limited, one could then expect a

    higher capitalization rate. However, if the development is located in an area like the treatment

    area than one might expect a zero capitalization of that new school; does this mean that in more

    rural areas with more developable land it is not profitable to discount land for a new school? The

    answer is unclear. However, there may be other reasons to discount land. Using the developer

    referenced throughout this essay as an example, one might gain permission to develop faster.

    (Winterton, 2007b) The location of the school in the developers subdivision persuaded the

    Morgan County Council to allow development in a phase a year ahead of the allotted time. This

    is potentially a windfall for the developer. As past research has suggested that housing supply is

    at least partially determined by the time it takes to sell (DiPasquale, 1999). Thus a potential

    extension of this research would be to analyze whether houses or building lots are sold quicker

    when a new school is announced. Another reason to discount land for a new school is that it

    could increase the attractiveness of the subdivision, when asked why the developer discounted

    the land for the school the developer stated, a school makes development more marketable

    (Winterton, 2006b, p. 2B). It may be that this could be chalked up to a cost of doing business

    and that new schools make it easier to sell a vacant lot or even a home. It could be that the

    goodwill garnered from such a policy may lead to planning permission in other areas as well.

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    This strategy may not only make the subdivision more marketable but it may also make the

    developer more marketable to local planning authorities. Consequently an appropriate extension

    of this paper would be to measure the success of altruistic strategies in garnering more

    development permission. One must consider the timeline in which this analysis occurred; this

    was time of immense growth in house prices and dramatic falls. Given that Cellini et al (2010)

    found that following the passage of school facility investment bond house prices raised

    gradually over the two or three years following the election and persists for at least a decade

    and the limitations from widening the time window in a difference in differences analysis. It is

    within reason to suggest that it may be that the full weight of the value of the school was not

    capitalized until later. Thus another potential extension of this research would be to analyze the

    changing value of the new school on house prices over time, this may prove difficult due to the

    limited data and the aforementioned drastic fall in house prices.

    Could the strategy of discounting land for a public school lead the developer to do well by

    doing good? Although it cannot be said with the analysis put forth above that they did not

    profit by their actions, it is reasonable to assume that there may be opportunities for such a

    strategy to be profitable.

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