Functional form,sample selection,and housing demand

This paper addresses issues of functional form and sample selection in estimating housing demand. Urban economic theory suggests that income and price elasticities be allowed to vary with reference incomes and housing prices. A generalized Box-Cox estimator rejects linear and log-log forms; semi-log forms are accepted in some cases. Sample truncation leads to downward biases in permanent income regressions, but to slightly upward-biased income elasticities. Price elasticities are generally unchanged.     

Do house price developments spillover across euro area countries? Evidence from a global VAR

This paper empirically assesses the prospects for house price spillovers in the euro area, where co-movement in house prices across countries may be particularly relevant given a general trend with monetary union toward increasing linkages in trade, financial markets, and general economic conditions. A global VAR is estimated for three housing demand variables (real house prices, real per capita income, and the cost of borrowing, captured by a real long-term interest rate) on the basis of quarterly data for 7 euro area countries (Belgium, Germany, Ireland, Spain, France, Italy and the Netherlands), which together comprise nearly 90% of euro area GDP, over the period 1971–2009. The results suggest limited house price spillovers in the euro area, albeit with evidence of some overshooting in the first year after the shock, followed by a long run aggregate euro area impact of country-specific changes in real house prices related in part to the country’s economic weight. This contrasts with the impacts of a shock to domestic long-term interest rates, causing a permanent shift in house prices after 2–3 years. Underlying this aggregate development are rather heterogeneous house price spillovers at the country level, with a strong importance for weights – either economic or geographic – in governing their general magnitude. More generally, the impact of financing costs on house prices appears to have grown though time.     

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 Economic Development-Income Inequality Nexus

A bstract . The empirical status of Kuznets' U-curve hypothesis is reassessed using three indicators of development ; two of which incorporate Basic Human Needs performance yardsticks, and three measures of income inequality. To eliminate the potential bias of the results due to functional form misspecification, a quadratic Box-Cox model of income inequality is specified. When the full sample of developed and developing countries was considered, all the share equations provided strong support for the hypothesis whereas the Gini equations provided weak support irrespective of the measure of development used. The results for the sub sample of developing countries were generally similar to those for the full sample. The policy implications of these results are discussed.     

Equilibrium price dynamics in an overlapping-generations exchange economy

An extension to the Yaari (1965)–Blanchard (1985) continuous time overlapping generations model for an endowment Arrow–Debreu economy with an age-structured population is presented. It is proved that Arrow–Debreu equilibrium prices are represented by a double linear integral equation, and depend on the age-distributions of population and endowments. For an economy with a balanced growth, and logarithmic utility, we prove that bubbles may exist if endowments are distributed earlier than some critical age.     

Chain indices of the cost-of-living and the path-dependence problem: An empirical solution

This paper proposes a new method for estimating true cost-of-living (Konüs) indices, for large numbers of commodities, using data only on prices, aggregate budget shares and aggregate expenditure. Conventional chain indices are path-dependent unless income elasticities are (implausibly) all equal to 1. The method allows this difficulty to be overcome. I show that to estimate a Konüs index, only income and not price elasticities are required. The method is applied to estimate a Konüs price index for 70 products covering nearly all the UK's Retail Prices Index over 1974–2004, using the Quadratic Almost Ideal Demand System. The choice of base year for utility has a significant effect on the index.     

Generalized reduced rank tests using the singular value decomposition

We propose a novel statistic to test the rank of a matrix. The rank statistic overcomes deficiencies of existing rank statistics, like: a Kronecker covariance matrix for the canonical correlation rank statistic of Anderson [Annals of Mathematical Statistics (1951), 22, 327–351] sensitivity to the ordering of the variables for the LDU rank statistic of Cragg and Donald [Journal of the American Statistical Association (1996), 91, 1301–1309] and Gill and Lewbel [Journal of the American Statistical Association (1992), 87, 766–776] a limiting distribution that is not a standard chi-squared distribution for the rank statistic of Robin and Smith [Econometric Theory (2000), 16, 151–175] usage of numerical optimization for the objective function statistic of Cragg and Donald [Journal of Econometrics (1997), 76, 223–250] and ignoring the non-negativity restriction on the singular values in Ratsimalahelo [2002, Rank test based on matrix perturbation theory. Unpublished working paper, U.F.R. Science Economique, University de Franche-Comté]. In the non-stationary cointegration case, the limiting distribution of the new rank statistic is identical to that of the Johansen trace statistic.     

House Prices and Housing Investment in Sweden and the UK: Econometric Analysis for the Period 1970–1998

We estimate quarterly dynamic housing demand and investment supply models for Sweden and the UK for the sample period 1970–1998, using an Error Correction Method (ECM). To facilitate comparisons of results between Sweden and the UK we model both countries identically with approximately almost the similar type of exogenous variables. The long–run income elasticities for Sweden and the UK are constrained to be 1.0, respectively. The long–run semi–elasticity for interest rates are 2.1 and 0.9 for Sweden and the UK. The speed of adjustment on the demand side is 0.12 and 0.23, while on the supply side it is 0.06 and 0.48 for Sweden and the UK, respectively. Granger causality tests indicate that income Granger causes house prices for Sweden, while for the UK there is also feedback from house prices to income. House prices Granger cause financial wealth for Sweden, while for the UK it is vice–versa. House prices cause household debt for Sweden, while for the UK there is a feedback from debt. Interest rates Granger cause house prices for the UK and Sweden. In both countries Tobin's q Granger cause housing investment. Generally, the diagnostic tests indicate that the model specifications were satisfactory to the unknown data generating process.     

Large traders and illiquid options: Hedging vs. manipulation

In this article, we study the effects on derivative pricing arising from price impacts by large traders. When a large trader issues a derivative and (partially) hedges his risk by trading in the underlying, he influences both his hedge portfolio and the derivative's payoff. In a Black–Scholes model with a price impact on the drift, we analyze the resulting trade-off by explicitly solving the utility maximization problem of a large investor endowed with an illiquid contingent claim. We find several interesting phenomena which cannot occur in frictionless markets. First, the indifference price is a convex function of the contingent claim – and not concave as in frictionless markets – implying that for any claim the buyer's indifference price is larger than the seller's indifference price. Second, the seller's indifference prices of large positions in derivatives are smaller than the Black–Scholes replication costs. Therefore, a large trader might have an incentive to issue options if they are traded at Black–Scholes prices. Furthermore, he hedges option positions only partly if he has a negative price impact and thus exploits his ability to manipulate the option's payoff. For a positive price impact he overhedges the option position leading to an extra profit from the stock position exceeding a perfect hedge. Finally, we also study a model where the large shareholder has a price impact on both drift and volatility.     

Equilibria without the survival assumption

It is well known that an equilibrium in the Arrow–Debreu model may fail to exist if a very restrictive condition called the survival assumption is not satisfied. We study two approaches that allow for the relaxation of this condition. Danilov and Sotskov [Danilov, V.I., Sotskov, A.I., 1990. A generalized economic equilibrium. Journal of Mathematical Economics 19, 341–356], and Florig [Florig, M., 2001. Hierarchic competitive equilibria. Journal of Mathematical Economics 35, 515–546] developed a concept of a generalized equilibrium based on a notion of hierarchic prices. Marakulin [Marakulin, V., 1988. An equilibrium with nonstandard prices and its properties in mathematical models of economy. Discussion Paper No. 18. Institute of Mathematics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk, 51 pp. (in Russian); Marakulin, V., 1990. Equilibrium with nonstandard prices in exchange economies. In: Quandt, R., Triska, D. (Eds.), Optimal Decisions in Market and Planned Economies. Westview Press, London, pp. 268–282] proposed a concept of an equilibrium with non-standard prices. In this paper, we establish the equivalence between non-standard and hierarchic equilibria. Furthermore, we show that for any specified system of dividends the set of such equilibria is generically finite. As a consequence, we have generic finiteness of Mas-Colell’s equilibria with slack, uniform dividend equilibria, and other special cases of our concept.     

Residential preferences,neighborhood filtering and neighborhood change

The structure of households' residential preferences are investigated employing sale prices as a preference ranking over “bundles” of housing characteristics including structural, neighborhood, and local public sector characteristics. Neighborhood characteristics, in particular income class, are found to have a significant influence on preference rankings. However, the results also suggest that short run changes in rank are significantly affected by racial change.     

Estimation of partial differential equations with applications in finance

Linear parabolic partial differential equations (PDE’s) and diffusion models are closely linked through the celebrated Feynman–Kac representation of solutions to PDE’s. In asset pricing theory, this leads to the representation of derivative prices as solutions to PDE’s. Very often implied derivative prices are calculated given preliminary estimates of the diffusion model for the underlying variable. We demonstrate that the implied derivative prices are consistent and derive their asymptotic distribution under general conditions. We apply this result to three leading cases of preliminary estimators: Nonparametric, semiparametric and fully parametric ones. In all three cases, the asymptotic distribution of the solution is derived. We demonstrate the use of these results in obtaining confidence bands and standard errors for implied prices of bonds, options and other derivatives. Our general results also are of interest for the estimation of diffusion models using either historical data of the underlying process or option prices; these issues are also discussed.     

Labour Values,Prices of Production and the Effects of Income Distribution: Evidence from the Greek Economy

This paper explores the relationship between labour values, prices of production and changes in income distribution in an actual economy. For this purpose we use a linear model of production with circulating capital and homogeneous labour, assuming that wages are paid ex ante. On the basis of this model and data from input–output tables of the Greek economy for the period 1988–1997 we estimate the labour values and prices of production, which are normalized with the use of the Sraffian standard commodity and the actual output vector. Furthermore, we extend Steedman's polynomial approximation of prices of production to include the case where wages are paid ex ante and the accuracy of this approximation is tested with actual input–output data. Finally, we find that prices of production change as a result of hypothetical changes in income distribution more often than not in a monotonic way and in a few cases display curvatures that reverse the order between prices of production and values.     

Explaining regional variation in equilibrium real estate prices and income

We combine the real estate model of Potepan (1996) with the spatial equilibrium approach of Roback (1982) to prove the interdependency of housing prices, rental prices, building land prices and income via one simultaneous equilibrium analysis. Using unique cross-sectional data on the majority of German counties and cities for 2005, we estimate the equations in their structural and reduced form. The results show significantly positive interaction effects of income and real estate prices. Moreover, we can confirm model predictions concerning the majority of exogenous determinants. In particular, expectations about population development seem to be among the most important determinants of price and income disparities between regions in the long term.     

The Penn-Balassa-Samuelson effect through the lens of the dependent economy model

The positive correlation between per capita income and cross-country price levels is called the “Penn-Balassa-Samuelson effect.” The most influential explanation of this effect centers around sectoral output productivities as the determinant of the relative price of nontraded goods. The interaction between the change in relative prices and the change in per capita income, the dynamic PBS effect, is less well known. This paper extends the Turnovsky and Sen (1995) model of a small open economy by adding external economies into the production function. The model's dynamics accord well with several features of the empirical data on the dynamic PBS effect.     

An econometric analysis of asymmetric volatility: Theory and application to patents

The purpose in registering patents is to protect the intellectual property of the rightful owners. Deterministic and stochastic trends in registered patents can be used to describe a country's technological capabilities and act as a proxy for innovation. This paper presents an econometric analysis of the symmetric and asymmetric volatility of the patent share, which is based on the number of registered patents for the top 12 foreign patenting countries in the USA. International rankings based on the number of foreign US patents, patent intensity (or patents per capita), patent share, the rate of assigned patents for commercial exploitation, and average rank scores, are given for the top 12 foreign countries. Monthly time series data from the United States Patent and Trademark Office for January 1975 to December 1998 are used to estimate symmetric and asymmetric models of the time-varying volatility of the patent share, namely US patents registered by each of the top 12 foreign countries relative to total US patents. A weak sufficient condition for the consistency and asymptotic normality of the quasi-maximum likelihood estimator (QMLE) of the univariate GJR(1,1) model is established under non-normality of the conditional shocks. The empirical results provide a diagnostic validation of the regularity conditions underlying the GJR(1,1) model, specifically the log-moment condition for consistency and asymptotic normality of the QMLE, and the computationally more straightforward but stronger second and fourth moment conditions. Of the symmetric and asymmetric models estimated, AR(1)–EGARCH(1,1) is found to be suitable for most countries, while AR(1)–GARCH(1,1) and AR(1)–GJR(1,1) also provide useful insights. Non-nested procedures are developed to test AR(1)–GARCH(1,1) versus AR(1)–EGARCH(1,1), and AR(1)–GJR(1,1) versus AR(1)–EGARCH(1,1).     

货币政策和居民收入对房价影响的实证分析

近年来,房地产价格持续快速增长,影响房价的因素有很多,文章以辽宁省为例,建立贷款利率、货币供应量、城镇居民可支配收入和房屋销售价格的VAR模型,进行实证研究。利用EVIEWS7.0软件对模型进行脉冲响应函数和方差分解分析,得出贷款利率、货币供应量和居民可支配收入均对房价产生正向影响,并且居民可支配收入的贡献度最强,五年以上贷款利率贡献度最弱。     

Firms’ fundamentals,macroeconomic variables and quarterly stock prices in the US

This paper modeled the effects of firms’ fundamentals such as total assets and long-term debt and of macroeconomic variables such as unemployment and interest rates on quarterly stock prices of over 3000 US firms in the period 2000–07. The merged CRSP/Compustat database was augmented by macroeconomic variables and comprehensive dynamic models were estimated by maximum likelihood taking into account heterogeneity across firms. Likelihood ratio statistics were developed for sequentially testing hypotheses regarding the adequacy of macroeconomic variables in the models. The main findings were that the estimated coefficients of lagged stock prices in simple dynamic random effects models were in the interval 0.90–0.95. Second, comprehensive dynamic models for stock prices showed that the firms’ earnings per share, total assets, long-term debt, dividends per share, and unemployment and interest rates were significant predictors; there were significant interactions between firms’ long-term debt and interest rates. Finally, implications of the results for corporate policies are discussed.     

中国房价是否存在泡沫——基于省际面板数据的协整分析

本文在理性预期的框架下,从现值模型出发,得到了房地产价格与收入的关系式。如果房地产价格与收入是非平稳过程,只有当房地产价格与收入呈协整关系时,才没有房地产泡沫,否则将出现房地产泡沫。本文对我国31个省、市和自治区1999-2008年的面板数据进行分析,发现商品房销售价格与城镇居民可支配收入皆为一阶单整过程,并且两者存在协整关系,从而得知,从全国范围来言,我国房地产市场并不存在泡沫;进一步按东、中、西部分析,发现中西部地区房地产市场也不存在泡沫,但东部地区房地产市场存在泡沫。     

AN EMPIRICAL ANALYSIS OF THE CHANGING ROLE OF THE GERMAN BUNDESBANK AFTER 1983

A cointegrated VAR model describing a small macroeconomic system consisting of money, income, prices, and interest rates is estimated on split sample data before and after 1983. The monetary mechanisms are found to be significantly different. Before 1983 the money supply is controllable and expansion or contraction of money supply has the expected effect on prices, income, and interest rates. After 1983 the conventional mechanisms no longer seem to work. The empirical analysis points to the crucial role of the bond rate in the system, particularly for the more recent period.