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Pricing Model Performance and the Two‐Pass Cross‐Sectional Regression Methodology

ABSTRACT Over the years, many asset pricing studies have employed the sample cross‐sectional regression (CSR) R 2 as a measure of model performance. We derive the asymptotic distribution of this statistic and develop associated model comparison tests, taking into account the impact of model misspecification on the variability of the CSR estimates. We encounter several examples of large R 2 differences that are not statistically significant. A version of the intertemporal…

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Payout yield, risk, and mispricing: A Bayesian analysis

We develop a simple parametric model in which hypotheses about predictability, mispricing, and the risk-return tradeoff can be evaluated simultaneously, while allowing for time variation in both risk and expected return. Most of the return predictability based on aggregate payout yield is unrelated to market risk. We consider a range of Bayesian prior beliefs about the risk-return tradeoff and the extent to which predictability is driven by mispricing. The impact of these…

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A skeptical appraisal of asset pricing tests☆

It has become standard practice in the cross-sectional asset pricing literature to evaluate models based on how well they explain average returns on size-B/M portfolios, something many models seem to do remarkably well. In this paper, we review and critique the empirical methods used in the literature. We argue that asset pricing tests are often highly misleading, in the sense that apparently strong explanatory power (high cross-sectional R2s and small pricing errors) can…

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Another Look at the Cross-Section of Expected Stock Returns

The authors' examination of the cross-section of expected returns reveals economically and statistically significant compensation (about 6 to 9 percent per annum) for beta risk when betas are estimated from time-series regressions of annual portfolio returns on the annual return on the equally weighted market index. The relation between book-to-market equity and returns is weaker and less consistent than that in Fama and French (1992). The authors conjecture that past…

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Another Look at the Cross‐section of Expected Stock Returns

ABSTRACT Our examination of the cross‐section of expected returns reveals economically and statistically significant compensation (about 6 to 9 percent per annum) for beta risk when betas are estimated from time‐series regressions of annual portfolio returns on the annual return on the equally weighted market index. The relation between book‐to‐market equity and returns is weaker and less consistent than that in Fama and French (1992). We conjecture that past book‐to‐market…

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A Test of the Efficiency of a Given Portfolio

给定投资组合效率的检验

A test for the ex ante efficiency of a given portfolio of assets is analyzed. The relevant statistic has a tractable small sample distribution. Its power function is derived and used to study the sensitivity of the test to the portfolio choice and to the number of assets used to determine the ex post mean-variance efficient frontier. Several intuitive interpretations of the test are provided, including a simple mean-standard deviation geometric explanation. A univariate…

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Nonsynchronous Data and the Covariance‐Factor Structure of Returns

ABSTRACT Evidence is presented that indicates that the standard estimator of the covariance matrix of daily returns provides a distorted view of the true covariance‐factor structure. An alternative estimator, based on a model of the price‐adjustment delay process, reveals roughly twice as much covariation in individual security returns. The number of factors identified also appears to increase when this estimator is employed. Since the linear space spanned by the estimated…

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