Predictive Regressions: A Reduced-Bias Estimation Method
Standard predictive regressions produce biased coefficient estimates in small samples when the regressors are Gaussian first-order autoregressive with errors that are correlated with the error series of the dependent variable. See Stambaugh (1999) for the single regressor model. This paper proposes a direct and convenient method to obtain reduced-bias estimators for single and multiple regressor models by employing an augmented regression, adding a proxy for the errors in the autoregressive model. We derive bias expressions for both the ordinary least-squares and our reduced-bias estimated coefficients. For the standard errors of the estimated predictive coefficients, we develop a heuristic estimator that performs well in simulations, for both the single predictor model and an important specification of the multiple predictor model. The effectiveness of our method is demonstrated by simulations and empirical estimates of common predictive models in finance. Our empirical results show that some of the predictive variables that were significant under ordinary least squares become insignificant under our estimation procedure.
Volume (Year): 39 (2004)
Issue (Month): 04 (December)
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- Wayne E. Ferson & Sergei Sarkissian & Timothy T. Simin, 2003.
"Spurious Regressions in Financial Economics?,"
Journal of Finance,
American Finance Association, vol. 58(4), pages 1393-1414, 08.
- Malcolm Baker & Jeremy C. Stein, 2002.
"Market Liquidity as a Sentiment Indicator,"
NBER Working Papers
8816, National Bureau of Economic Research, Inc.
- Malcolm Baker & Jeremy C. Stein, 2002. "Market Liquidity as a Sentiment Indicator," Harvard Institute of Economic Research Working Papers 1977, Harvard - Institute of Economic Research.
- Kothari, S. P. & Shanken, Jay, 1997. "Book-to-market, dividend yield, and expected market returns: A time-series analysis," Journal of Financial Economics, Elsevier, vol. 44(2), pages 169-203, May.
- French, Kenneth R. & Schwert, G. William & Stambaugh, Robert F., 1987. "Expected stock returns and volatility," Journal of Financial Economics, Elsevier, vol. 19(1), pages 3-29, September.
- Campbell, John, 1987.
"Stock Returns and the Term Structure,"
3207699, Harvard University Department of Economics.
- John Y. Campbell & Robert J. Shiller, 1986.
"The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors,"
NBER Working Papers
2100, National Bureau of Economic Research, Inc.
- John Y. Campbell, Robert J. Shiller, 1988. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," Review of Financial Studies, Society for Financial Studies, vol. 1(3), pages 195-228.
- Robert J. Shiller & John Y. Campbell, 1986. "The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors," Cowles Foundation Discussion Papers 812, Cowles Foundation for Research in Economics, Yale University.
- Hodrick, Robert J, 1992.
"Dividend Yields and Expected Stock Returns: Alternative Procedures for Inference and Measurement,"
Review of Financial Studies,
Society for Financial Studies, vol. 5(3), pages 357-86.
- Tom Doan, . "OLSHODRICK: RATS procedure to compute Hodrick standard errors," Statistical Software Components RTS00147, Boston College Department of Economics.
- Amihud, Yakov, 2002. "Illiquidity and stock returns: cross-section and time-series effects," Journal of Financial Markets, Elsevier, vol. 5(1), pages 31-56, January.
- Lewellen, Jonathan, 2003. "Predicting Returns With Financial Ratios," Working papers 4374-02, Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Gregory Mankiw, N. & Shapiro, Matthew D., 1986.
"Do we reject too often? : Small sample properties of tests of rational expectations models,"
Elsevier, vol. 20(2), pages 139-145.
- N. Gregory Mankiw & Matthew D. Shapiro, 1985. "Do We Reject Too Often? Small Sample Properties of Tests of Rational Expectations Models," NBER Technical Working Papers 0051, National Bureau of Economic Research, Inc.
- Sawa, Takamitsu, 1978. "The exact moments of the least squares estimator for the autoregressive model," Journal of Econometrics, Elsevier, vol. 8(2), pages 159-172, October.
- Robert F. Stambaugh, 1999.
NBER Technical Working Papers
0240, National Bureau of Economic Research, Inc.
- Fama, Eugene F. & French, Kenneth R., 1989. "Business conditions and expected returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 25(1), pages 23-49, November.
- Fama, Eugene F, 1990. " Stock Returns, Expected Returns, and Real Activity," Journal of Finance, American Finance Association, vol. 45(4), pages 1089-1108, September.
- Pontiff, Jeffrey & Schall, Lawrence D., 1998. "Book-to-market ratios as predictors of market returns," Journal of Financial Economics, Elsevier, vol. 49(2), pages 141-160, August.
- Keim, Donald B. & Stambaugh, Robert F., 1986.
"Predicting returns in the stock and bond markets,"
Journal of Financial Economics,
Elsevier, vol. 17(2), pages 357-390, December.
- Donald B. Keim & Robert F. Stambaugh, . "Predicting Returns in the Stock and Bond Markets," Rodney L. White Center for Financial Research Working Papers 15-85, Wharton School Rodney L. White Center for Financial Research.
- Nelson, Charles R & Kim, Myung J, 1993. " Predictable Stock Returns: The Role of Small Sample Bias," Journal of Finance, American Finance Association, vol. 48(2), pages 641-61, June.
- Fama, Eugene F. & French, Kenneth R., 1988. "Dividend yields and expected stock returns," Journal of Financial Economics, Elsevier, vol. 22(1), pages 3-25, October.
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