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A Relationship Between Regression Tests and Volatility Tests of Market ncy

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Author Info
Jeffrey A. Frankel
James H. Stock

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Abstract

Volatility tests are an alternative to regression tests for evaluating the joint null hypothesis of market efficiency and risk neutrality. Acomparison of the power of the two kinds of tests depends on what the alternative hypothesis is taken to be. By considering tests based on conditional volatility bounds, we show that if the alternative is that one could"beat the market" using a linear combination of known variables, then the regression tests are at least as powerful as the conditional volatility tests.If the application is to spot and forward markets, then the most powerful conditional volatility test turns out to be equivalent to the analogous regression test in terms of asymptotic power. In other applications,the volatility test will be less powerful than regression tests against our chosen alternative. However, these results are not inconsistent with the observation that volatility tests may be more powerful against other alternative hypoth-eses, such as that risk-averse investors are rationally maximizing the present discounted utility of future consumption,with a time-varying discount rate.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 1105.

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Date of creation: Oct 1987
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Handle: RePEc:nbr:nberwo:1105

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Richard A. Meese & Kenneth J. Singleton, 1980. "Rational expectations, risk premia, and the market for spot and forward exchange," International Finance Discussion Papers 165, Board of Governors of the Federal Reserve System (U.S.).
  2. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May. [Downloadable!] (restricted)
  3. Shiller, Robert J, 1981. "The Use of Volatility Measures in Assessing Market Efficiency," Journal of Finance, American Finance Association, vol. 36(2), pages 291-304, May. [Downloadable!] (restricted)
  4. Robert P. Flood, 1982. "Explanations of Exchange Rate Volatility and Other Empirical Regularities in Some Popular Models of the Foreign Exchange Market," NBER Working Papers 0625, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. LeRoy, Stephen F & LaCivita, C J, 1981. "Risk Aversion and the Dispersion of Asset Prices," Journal of Business, University of Chicago Press, vol. 54(4), pages 535-47, October. [Downloadable!] (restricted)
  6. LeRoy, Stephen F & Porter, Richard D, 1981. "The Present-Value Relation: Tests Based on Implied Variance Bounds," Econometrica, Econometric Society, vol. 49(3), pages 555-74, May. [Downloadable!] (restricted)
  7. Shiller, Robert J, 1979. "The Volatility of Long-Term Interest Rates and Expectations Models of the Term Structure," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1190-1219, December. [Downloadable!] (restricted)
  8. Lawrence H. Summers, 1987. "Do We Really Know That Financial Markets Are Efficient?," NBER Working Papers 0994, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  9. Grossman, Sanford J & Shiller, Robert J, 1981. "The Determinants of the Variability of Stock Market Prices," American Economic Review, American Economic Association, vol. 71(2), pages 222-27, May. [Downloadable!] (restricted)
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  10. Robert J. Shiller, 1981. "The Use of Volatility Measures in Assessing Market Efficiency," NBER Working Papers 0565, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  11. Singleton, Kenneth J, 1980. "Expectations Models of the Term Structure and Implied Variance Bounds," Journal of Political Economy, University of Chicago Press, vol. 88(6), pages 1159-76, December. [Downloadable!] (restricted)
  12. Shiller, Robert J, 1981. "Do Stock Prices Move Too Much to be Justified by Subsequent Changes in Dividends?," American Economic Review, American Economic Association, vol. 71(3), pages 421-36, June. [Downloadable!] (restricted)
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  1. N. Gregory Mankiw & David Romer & Matthew D. Shapiro, 1985. "An Unbiased Reexamination of Stock Market Volatility," Cowles Foundation Discussion Papers 758, Cowles Foundation, Yale University. [Downloadable!]
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