Improved Inference and Estimation in Regression With Overlapping Observations

We present an improved method for inference in linear regressions with overlapping observations. By aggregating the matrix of explanatory variables in a simple way, our method transforms the original regression into an equivalent representation in which the dependent variables are non-overlapping. This transformation removes that part of the autocorrelation in the error terms which is induced by the overlapping scheme. Our method can easily be applied within standard software packages since conventional inference procedures (OLS-, White-, Newey-Weststandard errors) are asymptotically valid when applied to the transformed regression. Through Monte Carlo analysis we show that they perform better in finite samples than the methods applied to the original regression that are in common usage. We illustrate the significance of our method with two empirical applications. JEL classification: C20, G12

[1]  Philippe Bacchetta,et al.  Predictability in Financial Markets: What do Survey Expectations Tell Us? , 2006 .

[2]  Erik Hjalmarsson New Methods for Inference in Long-Run Predictive Regressions , 2006 .

[3]  R. Jagannathan,et al.  Lazy Investors, Discretionary Consumption, and the Cross Section of Stock Returns , 2005 .

[4]  Monika Piazzesi,et al.  Bond Risk Premia , 2005 .

[5]  R. Jagannathan,et al.  Consumption Risk and the Cost of Equity Capital , 2005 .

[6]  Thomas J. George,et al.  The 52-Week High and Momentum Investing , 2004 .

[7]  Christian Julliard,et al.  Consumption Risk and the Cross Section of Expected Returns , 2004, Journal of Political Economy.

[8]  R. Greenwood,et al.  The Maturity of Debt Issues and Predictable Variation in Bond Returns , 2003 .

[9]  P. Phillips,et al.  Prewhitening Bias in Hac Estimation , 2003 .

[10]  Rossen Valkanov Long-horizon regressions: theoretical results and applications , 2003 .

[11]  Charles M. C. Lee,et al.  Earnings Momentum in International Markets , 2003 .

[12]  Clifford M. Hurvich,et al.  Predictive Regressions: A Reduced-Bias Estimation Method , 2002, Journal of Financial and Quantitative Analysis.

[13]  J. Parker The Consumption Risk of the Stock Market , 2001 .

[14]  Andrew Ang,et al.  Stock Return Predictability: Is it There? , 2001 .

[15]  Yangru Wu,et al.  Mean Reversion across National Stock Markets and Parametric Contrarian Investment Strategies , 2000 .

[16]  Sydney C. Ludvigson,et al.  Consumption, Aggregate Wealth and Expected Stock Returns , 1999 .

[17]  R. Stambaugh,et al.  Predictive Regressions , 1999 .

[18]  A. Richards,et al.  Winner-Loser Reversals in National Stock Market Indices: Can They Be Explained? , 1997, SSRN Electronic Journal.

[19]  Kent D. Daniel,et al.  EQUITY-PREMIUM AND RISK-FREE-RATE PUZZLES AT LONG HORIZONS , 1997, Macroeconomic Dynamics.

[20]  E. Fama Market Efficiency, Long-Term Returns, and Behavioral Finance , 1997 .

[21]  A. Lo,et al.  THE ECONOMETRICS OF FINANCIAL MARKETS , 1996, Macroeconomic Dynamics.

[22]  Owen A. Lamont Earnings and Expected Returns , 1996 .

[23]  C. Nelson,et al.  Predictable Stock Returns: The Role of Small Sample Bias , 1993 .

[24]  Donald W. K. Andrews,et al.  An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator , 1992 .

[25]  Narasimhan Jegadeesh,et al.  Seasonality in Stock Price Mean Reversion: Evidence from the U.S. and the U.K. , 1991 .

[26]  R. Hodrick Dividend Yields and Expected Stock Returns: Alternative Procedures for Interference and Measurement , 1991 .

[27]  D. Andrews Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation , 1991 .

[28]  Matthew Richardson,et al.  Tests of financial models in the presence of overlapping observations , 1991 .

[29]  J. Cochrane,et al.  Volatility Tests and Efficient Markets: A Review Essay , 1991 .

[30]  E. Fama,et al.  Dividend yields and expected stock returns , 1988 .

[31]  R. Shiller,et al.  The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors , 1986 .

[32]  W. Newey,et al.  A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelationconsistent Covariance Matrix , 1986 .

[33]  M. Shapiro,et al.  Do We Reject Too Often? Small Sample Properties of Tests of Rational Expectations Models , 1985 .

[34]  L. Hansen,et al.  Forward Exchange Rates as Optimal Predictors of Future Spot Rates: An Econometric Analysis , 1980, Journal of Political Economy.

[35]  H. White A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity , 1980 .

[36]  Sanjeev Bhojraj Macromomentum: Returns Predictability in International Equity Indices , 2006 .