Long-Range Dependence in U.S. Home Price Volatility

Posted: 28 Oct 2010

See all articles by William Miles

William Miles

Wichita State University - Department of Economics

Date Written: October 26, 2010


The existence of GARCH effects in a financial price series means that the probability of large losses is much higher than standard mean-variance analysis suggests. Accordingly, several recent papers have investigated whether GARCH effects exist in the U.S. housing market, as changes in house prices can have far-ranging impacts on defaults, foreclosures, tax revenues and the values of mortgage-backed securities. Some research in finance indicates that the conditional variance of some assets exhibits far greater persistence, or even "long memory", than is accounted for in standard GARCH models. If house prices do indeed have this very persistent volatility, properly estimating the conditional variance to allow for such persistence is crucial for optimal portfolio management. We examine a number of U.S. metropolitan areas, and find that, for those with significant GARCH effects, more than half indeed exhibit the very high persistence found in other assets such as equities. This finding should help in improving risk management, through, for instance the construction of better-specified value-at-risk models.

Keywords: House prices, GARCH, Long memory, Volatility

Suggested Citation

Miles, William, Long-Range Dependence in U.S. Home Price Volatility (October 26, 2010). Journal of Real Estate Finance and Economics, Vol. 42, No. 3, 2011, Available at SSRN: https://ssrn.com/abstract=1698288

William Miles (Contact Author)

Wichita State University - Department of Economics ( email )

Wichita, KS 67260-0078
United States

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