A utility-based comparison of some models of exchange rate volatility

https://doi.org/10.1016/0022-1996(93)90003-GGet rights and content

Abstract

When estimates of variances are used to make asset allocation decisions, underestimates of population variances lead to lower expected utility than equivalent overestimates: a utility-based criterion is asymmetric, unlike standard criteria such as mean squared error. To illustrate how to estimate a utility-based criterion, we use five bilateral weekly dollar exchange rates, 1973–1989, and the corresponding pair of Eurodeposit rates. Of homoskedastic, GARCH, autoregressive and non-parametric models for the conditional variance of each exchange rate, GARCH models tend to produce the highest utility, on average. A mean squared error criterion also favors GARCH, but not as sharply.

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    We thank an anonymous referee, Buz Brock, Frank Diebold, Takatoshi Ito, Blake LeBaron, Robin Lumsdaine and participants in various seminars for helpful comments and discussions, Karen Lewis for providing data, and John Hulbert for research assistance. West thanks the National Science Foundation, the Sloan Foundation, and the University of Wisconsin Graduate School for financial support. This paper represents the views of the authors and not necessarily those of the Board of Governors of the Federal Reserve System or other members of its staff.

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