The elasticity of substitution for land: The effects of measurement errors

The explanatory variable used in most previous studies of land-nonland substitution, assessed or appraised land value, is subject to considerable measurement error. There is evidence that this biases the substitution elasticity from a true value of unity to a measured value in the 0.5 to 0.8 range. An hedonic method of measuring land value is proposed and applied to the Chicago residential sales data developed by Berry and Bednarz. Substitution elasticities are estimated within a CES framework from the two measures of land value; after correction for a vintage effect, appraised land value indicates that the elasticity is 0.57 whereas the hedonic measure of land values supports a unitary substitution elasticity. Therefore, the errors-in-variables hypothesis is confirmed and the use of a Cobb- Douglas production function is suggested.     

Changes in the distribution of house prices over time: Structural characteristics,neighborhood, or coefficients?

Quantile hedonic house price function estimates imply that appreciation rates were higher between 1995 and 2005 for high-priced homes in Chicago. Decompositions of temporal changes in the house price distribution suggest that the types of homes sold and their location do not account for the change in the price distribution. Rather, higher appreciation rates for high-priced homes are explained by differences in the quantile regression coefficients over time.     

Changes in the distribution of house prices over time: Structural characteristics,neighborhood, or coefficients?

Quantile hedonic house price function estimates imply that appreciation rates were higher between 1995 and 2005 for high-priced homes in Chicago. Decompositions of temporal changes in the house price distribution suggest that the types of homes sold and their location do not account for the change in the price distribution. Rather, higher appreciation rates for high-priced homes are explained by differences in the quantile regression coefficients over time.     

Measuring environmental effects on property values without hedonic regressions

The effect of environmental nuisances on property values has been frequently studied using hedonic regressions, yet that method has extensive data and estimation requirements. The technique developed in this paper uses repeat sales on houses to substantially reduce these requirements. The technique adjusts for depreciation between sales and allows for nonzero error covariance terms when a house has been sold more than twice. The effect of highway noise on property values is studied using this method, and the results are statistically equivalent to the results of an extensive hedonic study for the same area.     

城市住房价格指数编制方法的拓展设计及实证检验

科学监测城市房价走势,在当前环境下尤为重要。为拓展国际通行方法编制国内单一城市房价指数的适用性,引入样本匹配重复交易法构建房价指数,以提高样本容量与可比性。基于上海数据的实证结果表明,相较于传统重复交易法和特征价格法,样本匹配重复交易法能更准确地反映住房价格变动,结果异常波动性更小,噪声影响程度更低,在克服样本代表性误差和变量缺失误差方面效果更显著,对编制国内城市房价指数具有较好应用价值。     

Credit rationing, race, and the mortgage market

This study applies microdata from the 1983 Survey of Consumer Finances to evaluate the effects of borrower race and default risk in mortgage lending. The empirical analysis is based on a probit model of whether borrowers obtain FHA or conventional mortgages; the former are fully insured and are characterized by easier downpayment constraints, but are typically more expensive. Hence, households borrowing through the FHA will tend to be credit constrained in the conventional market. Results of the analysis indicate that variables which proxy lender concerns about default risk and cost have an important effect on the type of loan borrowers obtain. Empirical estimates also suggest that minority households are significantly less likely to obtain conventional financing than whites, even after controlling for various proxies of default risk. These results suggest that race effects in mortgage lending may persist for reasons unrelated to borrower default risk.     

住宅价格的评估方法研究

本文介绍了在成熟住宅市场上广泛使用的两种基本住宅价格评估方法:效用价格法和重复销售价格,比较了两种估价方法的优缺点,并针对我国现状,指出加强住宅价格评估实证研究的意义。     

HEDONIC PRICE INDEXES FOR RESIDENTIAL HOUSING: A SURVEY,EVALUATION AND TAXONOMY

Every house is different. It is important that house price indexes take account of these quality differences. Hedonic methods which express house prices as a function of a vector of characteristics (such as number of bedrooms and bathrooms, land area and location) are particularly useful for this purpose. I consider here some developments in the hedonic methodology, as it is applied in a housing context, that have occurred in the last three decades. A number of hedonic house price indexes are now available. However, it is often difficult to see how these indexes relate to each other. For this reason I attempt to impose some structure on the literature by developing a taxonomy of hedonic indexes, and then show how existing indexes fit into this taxonomy. Also discussed are some promising areas for future research in the hedonic field. In particular, greater use needs to be made of spatial econometric and nonparametric methods to exploit the increased availability of geospatial data. The main criticisms of the hedonic approach are evaluated and compared with those of the repeat‐sales and stratified median methods. The overall conclusion is that the advantages of the hedonic approach outweigh its disadvantages.     

Option value and the price of teardown properties

The introduction of uncertainty over the future price of structural capital into a model of teardowns implies a value to delaying the demolition vs. preservation decision, and that the market price of a redeveloped property may increase with its quantity of structural capital. Using data from an active teardown market, we test the model’s prediction that hedonic price function coefficients depend on the expected time between sale and demolition. As predicted, structural variables have significant effects on the sales prices of both teardown and non-teardown properties, and the effects are generally much larger the lower the estimated teardown probability.     

Residential Hedonic Models: A Rational Expectations Approach to Age Effects

This paper develops a rational expectations framework for interpreting the coefficient on age in a standard hedonic model. The model demonstrates that there are two components to the age coefficient: a pure cross-sectional depreciation component and a demand-side component that changes over time. We also show that a constant quality price index with age constant can be estimated by using any repeat sales database that contains the year of construction (or property age). When Fairfax County data are fitted to the model, the time series of age coefficients is non-stationary: they change from negative in the early 1980s to positive in the late 1980s; we infer that the demand-side component dominated in the latter period.     

Homeownership and FHA Mortgage Activity in Neighborhoods and Metropolitan Areas

This paper examines the impact of Federal Housing Administration (FHA) mortgage insurance activity on homeownership at two levels: census tract and metropolitan area. The 1990 Home Mortgage Disclosure Act dataset combined with the 1980 and 1990 U.S. Censuses is used in the analysis. This study extends the previous studies of FHA activity by having broader coverage, a better measure of relative FHA activity and better control of other factors that affect homeownership and mortgage activity. The empirical results indicate that the FHA mortgage insurance program has significant positive effects on homeownership in predominantly white and/or moderate to high-income MSAs and predominantly minority and/or moderate- to high-income census tracts. However, the estimated coefficients associated with the relative FHA activity are found to be relatively small in magnitude. Overall, results suggest that FHA programs are of limited effect in the achievement of homeownership, but may be of greater assistance to whites relative to blacks.     

Proposal for calculating regulatory capital requirements for reverse mortgages

In the current context in which many people worry about the sustainability of pension systems, reverse mortgages are gaining popularity because they are a way to supplement elderly people's incomes. However, it is necessary to provide banks with an adequate risk measurement and management procedure for reverse mortgages to increase the commercialization of these products, which will result in greater well-being for the retirement age population. In this paper, we propose a method to measure risk and estimate the regulatory capital requirements for a portfolio of reverse mortgages owned by a financial institution according to Basel II and III. The method considers house price risk, mortality risk and interest rate risk; consequently, regulatory capital requirements need to be computed using a Monte Carlo simulation procedure. The proposed method is general and can accommodate several scenarios for reverse mortgage specifications, including fixed or variable mortgage rates and different income stream schemes (with the lump sum as a particular case). The results for the U.K. show that reverse mortgage providers face higher risk when the lender initially advances a higher amount, with the lump-sum case indicating the highest risk, for relatively younger borrowers, the female population, higher interest rates and floating mortgage rates.     

Hedonic prices, price indices and housing markets

This paper extends hedonic price analysis to the formation of housing price indices measuring variation within a metropolitan area. In forming these indices fifteen submarkets, heterogeneous across time and space, are described within a short-run equilibrium model. Linear functional forms are generally rejected using a method proposed by Box and Cox. Aggregation of hedonic price coefficients into standardized units yields significantly higher housing prices in the central city than in its suburbs, as well as differential effects of structural and neighborhood improvements among submarkets.     

The choice of functional forms for hedonic price equations: Comment

Rosen [13], Freeman [4], Halvorsen and Pollakowski [6], and others have stressed that economic theory does not suggest an appropriate functional form for hedonic price functions.¹ It consequently is reasonable to try several functional forms and utilize the multiple regression equation with the best performance. In this spirit, Halvorsen and Pollakowski [6] recommend using the Box-Cox flexible functional form for hedonic analysis and measuring best performance with a goodness of fit test. The Box-Cox methodology has also been adapted in hedonic studies by Goodman [5], Linneman [10], Blomquist and Worley [1], and Eberts and Gronberg [3].² The Box-Cox is particularly suited for testing functional forms because many familiar forms such as semilog, log linear, and translog are subsets of the flexible Box-Cox permitting nested hypothesis testing.In this note, we illustrate that the formal hypothesis testing advantage of the Box-Cox functional form is purchased at the expense of other important goals. The goal of most hedonic studies is to estimate the prices of the characteristics, to measure the response to changes in the prices, and/or to predict future expenditures. Using a best fit criterion to choose functional forms does not necessarily lead to more accurate estimates of characteristic prices. In fact, the large number of coefficients estimated with the Box-Cox functional form reduces the accuracy of any single coefficient which could lead to poorer estimates of specific prices. Second, because any negative number raised to a noninteger real power is imaginary, the traditional Box-Cox functional form is not suited to any data set containing negative numbers. Third, the Box-Cox functional form may be inappropriate for prediction. Since the mean predicted value of the untransformed dependent variable need not equal the mean of the sample upon which it is estimated, the predicted untransformed variable (housing value) will be biased. The predicted untransformed dependent variable may also be imaginary. Fourth, the nonlinear transformation results in complex estimates of slopes and elasticities which are often too cumbersome to use properly. We discuss each of these drawbacks and quantify them when possible in the remainder of this note.     

The Role of the Initial Discount in the Pricing of Adjustable-Rate Mortgages

Little attention has been given to the role of the initial discount in the pricing of adjustable-rate mortgages. Only recently has the importance of the initial discount in the selection of adjustable-rate mortgages been recognized. This study finds that the initial discount plays a central role in the pricing process. It is shown that the initial discount is related to the features of adjustable-rate mortgages, such as the points, the caps, and most importantly the margin, the interest rate environment, and the demand for adjustable-rate mortgages.     

Hedonic estimation of housing demand elasticity with a markup over marginal costs

We show that recent developments in hedonic pricing theory allow modeling of the equilibrium pricing function as the marginal cost of an additional housing unit plus a markup that varies inversely with the elasticity of demand. Useful information about demand elasticity at a given point on the envelope function can be recovered from the hedonic regression and limited information on marginal costs. In particular, the elasticity of the envelope with respect to any characteristic such as interior area provides information on the elasticity of demand. Relative price elasticities (i.e., elasticities that vary from a base value in a known way with interior area, unit type or neighborhood characteristics) can be computed from the elasticity of the hedonic envelope. Like Yinger (2010), our method is based on a single hedonic equation.We test our method using sales of new high rise condominiums in two districts within Shenzhen, China: Futian and Longgang. The results strongly confirm the main hypothesis of this paper: price elasticity with respect to size is increasing for more complex types of units. Together with estimates of marginal costs of production, these results imply that relative demand elasticity is declining for larger, more complex units.     

A prediction comparison of housing sales prices by parametric versus semi-parametric regressions

This study estimates a hedonic price function using a semi-parametric regression and compares the price prediction performance with conventional parametric models. This study utilizes a large data set representing 2595 single-family residential home sales between July 2000 and June 2002 from Pitt County, North Carolina. Data from Geographic Information Systems (GIS) are incorporated to account for locational attributes of the houses. The results show that the semi-parametric regression outperforms the parametric counterparts in both in-sample and out-of-sample price predictions, indicating that the semi-parametric model can be useful for measurement and prediction of housing sales prices.     

Hedonic analysis of a housing market in disequilibrium

This paper tests the hypothesis that information about housing market activity and about specific dwellings becomes capitalized into single family dwelling prices through a disequilibrium adjustment process. A dynamic price adjustment model, which is an extension of the standard hedonic model widely used in the literature, is derived, specified, and tested with both micro and aggregated data from the city of Chicago and for the period 1972–1976. The results show that from 32 to 75% of the variance in dwelling prices, unexplained by the standard hedonic attributes under assumptions of equilibrium, is explained by market activity signals such as mortgage interest rates and neighborhood transaction rates of the preceding period. Dwellings about which there is less information, making comparison pricing difficult, are shown to command a price premium. The standard equilibrium hypothesis appears readily rejectable and better predictions are obtained from the disequilibrium specifications. Several directions for extending this line of research are discussed.     

Payment changes and default risk: The impact of refinancing on expected credit losses

This paper analyzes how access to credit and the path of mortgage rates can affect borrower credit risk. This is a crucial issue for evaluating refinance programs as a form of loss mitigation, and it became prominent in the debates around the Treasury Department's Home Affordable Refinance Program (HARP). These debates exposed gaps in the literature on the relationship between credit performance and changes in borrowers’ monthly mortgage payments. Since then, several new studies have attempted to fill these holes, each pursing a different methodology. In this paper, we review the relevant debates and look at what downward adjustments in prime adjustable-rate mortgages can tell us about modifications of prime fixed-rate mortgages. We argue that this method better addresses the various sampling biases that plague all attempts to predict HARP's impact. Our analysis indicates that typical monthly payment reductions under HARP would reduce credit losses by 56 basis points.     

The error structure of time series cross-section hedonic models with sporadic event timing and serial correlation

When estimating hedonic models of housing prices, the use of time series cross-section repeat sales data can provide improvements in estimator efficiency and correct for unobserved characteristics. However, in cases where serial correlation is present, the irregular timing of sales should also be considered. In this paper we develop a model that uses information on the timing of events to account for the sporadic occurrence of events. The model presumes that the serial correlation process can be decomposed into a time-independent (event-wise) component and a time-dependent (time-wise) component. Empirical tests cannot reject the presence of sporadic correlation patterns, while simulations show that the failure to account for sporadic correlation leads to significant losses in efficiency, and that the losses from ignoring sporadic correlation when it exists are larger than losses when sporadic correlation is falsely assumed. Copyright © 1999 John Wiley & Sons, Ltd.