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Estimating and testing beta pricing models: Alternative methods and their performance in simulations

Author

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  • Jay Shanken

    (Goizueta Business School, Emory University)

  • Guofu Zhou

    (Olin School of Business, Washington University)

Abstract

We conduct a simulation analysis of the Fama and MacBeth[1973. Risk, returns and equilibrium: empirical tests. Journal of Political Economy 71, 607¨C636.] two-pass procedure, as well as maximum likelihood (ML) and generalized method of moments estimators of cross-sectional expected return models. We also provide some new analytical results on computational issues, the relations between estimators, and asymptotic distributions under model misspecification. The generalized least squares estimator is often much more precise than the usual ordinary least squares (OLS) estimator, but it displays more bias as well. A "truncated" form of ML performs quite well overall in terms of bias and precision, but produces less reliable inferences than the OLS estimator

Suggested Citation

  • Jay Shanken & Guofu Zhou, 2007. "Estimating and testing beta pricing models: Alternative methods and their performance in simulations," CEMA Working Papers 275, China Economics and Management Academy, Central University of Finance and Economics.
  • Handle: RePEc:cuf:wpaper:275
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    References listed on IDEAS

    as
    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. David Easley & Soeren Hvidkjaer & Maureen O'Hara, 2002. "Is Information Risk a Determinant of Asset Returns?," Journal of Finance, American Finance Association, vol. 57(5), pages 2185-2221, October.
    3. Raymond Kan & Guofu Zhou, 1999. "A Critique of the Stochastic Discount Factor Methodology," Journal of Finance, American Finance Association, vol. 54(4), pages 1221-1248, August.
    4. Stephen A. Ross, 2013. "The Arbitrage Theory of Capital Asset Pricing," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 1, pages 11-30, World Scientific Publishing Co. Pte. Ltd..
    5. Stambaugh, Robert F., 1982. "On the exclusion of assets from tests of the two-parameter model : A sensitivity analysis," Journal of Financial Economics, Elsevier, vol. 10(3), pages 237-268, November.
    6. Eugene F. Fama, 2002. "Testing Trade-Off and Pecking Order Predictions About Dividends and Debt," The Review of Financial Studies, Society for Financial Studies, vol. 15(1), pages 1-33, March.
    7. Newey, Whitney K., 1984. "A method of moments interpretation of sequential estimators," Economics Letters, Elsevier, vol. 14(2-3), pages 201-206.
    8. Shanken, J. & Weinstein, M.I., 1990. "Macroeconomics Variables and Asset Pricing : Further Results," Papers 91-05, Rochester, Business - Managerial Economics Research Center.
    9. Harvey, Campbell R. & Zhou, Guofu, 1993. "International asset pricing with alternative distributional specifications," Journal of Empirical Finance, Elsevier, vol. 1(1), pages 107-131, June.
    10. Shanken, Jay, 1992. "On the Estimation of Beta-Pricing Models," The Review of Financial Studies, Society for Financial Studies, vol. 5(1), pages 1-33.
    11. Joan Farre-Mensa & Roni Michaely & Martin Schmalz, 2014. "Payout Policy," Annual Review of Financial Economics, Annual Reviews, vol. 6(1), pages 75-134, December.
    12. Mitchell A. Petersen, 2009. "Estimating Standard Errors in Finance Panel Data Sets: Comparing Approaches," The Review of Financial Studies, Society for Financial Studies, vol. 22(1), pages 435-480, January.
    13. Lo, Andrew W & MacKinlay, A Craig, 1990. "Data-Snooping Biases in Tests of Financial Asset Pricing Models," The Review of Financial Studies, Society for Financial Studies, vol. 3(3), pages 431-467.
    14. Lewellen, Jonathan & Nagel, Stefan & Shanken, Jay, 2010. "A skeptical appraisal of asset pricing tests," Journal of Financial Economics, Elsevier, vol. 96(2), pages 175-194, May.
    15. Shanken, Jay, 1985. "Multivariate tests of the zero-beta CAPM," Journal of Financial Economics, Elsevier, vol. 14(3), pages 327-348, September.
    16. K. Newey, Whitney, 1985. "Generalized method of moments specification testing," Journal of Econometrics, Elsevier, vol. 29(3), pages 229-256, September.
    17. Balduzzi, Pierluigi & Robotti, Cesare, 2008. "Mimicking Portfolios, Economic Risk Premia, and Tests of Multi-Beta Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 354-368.
    18. Mark Rubinstein, 1976. "The Valuation of Uncertain Income Streams and the Pricing of Options," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 407-425, Autumn.
    19. Kandel, Shmuel & Stambaugh, Robert F, 1995. "Portfolio Inefficiency and the Cross-Section of Expected Returns," Journal of Finance, American Finance Association, vol. 50(1), pages 157-184, March.
    20. Jobson, J. D. & Korkie, Bob, 1982. "Potential performance and tests of portfolio efficiency," Journal of Financial Economics, Elsevier, vol. 10(4), pages 433-466, December.
    21. Shanken, Jay & Weinstein, Mark I., 2006. "Economic forces and the stock market revisited," Journal of Empirical Finance, Elsevier, vol. 13(2), pages 129-144, March.
    22. Roll, Richard & Ross, Stephen A, 1994. "On the Cross-sectional Relation between Expected Returns and Betas," Journal of Finance, American Finance Association, vol. 49(1), pages 101-121, March.
    23. Litzenberger, Robert H. & Ramaswamy, Krishna, 1979. "The effect of personal taxes and dividends on capital asset prices : Theory and empirical evidence," Journal of Financial Economics, Elsevier, vol. 7(2), pages 163-195, June.
    24. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
    25. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    26. Velu, Raja & Zhou, Guofu, 1999. "Testing multi-beta asset pricing models," Journal of Empirical Finance, Elsevier, vol. 6(3), pages 219-241, September.
    27. Shanken, Jay, 1990. "Intertemporal asset pricing : An Empirical Investigation," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 99-120.
    28. Amsler, Christine E. & Schmidt, Peter, 1985. "A Monte Carlo investigation of the accuracy of multivariate CAPM tests," Journal of Financial Economics, Elsevier, vol. 14(3), pages 359-375, September.
    29. Ravi Jagannathan & Zhenyu Wang, 2002. "Empirical Evaluation of Asset‐Pricing Models: A Comparison of the SDF and Beta Methods," Journal of Finance, American Finance Association, vol. 57(5), pages 2337-2367, October.
    30. Shanken, Jay, 1987. "Multivariate proxies and asset pricing relations : Living with the Roll critique," Journal of Financial Economics, Elsevier, vol. 18(1), pages 91-110, March.
    31. Kandel, Shmuel, 1984. "The likelihood ratio test statistic of mean-variance efficiency without a riskless asset," Journal of Financial Economics, Elsevier, vol. 13(4), pages 575-592, December.
    32. Daniel, Kent & Titman, Sheridan, 1997. "Evidence on the Characteristics of Cross Sectional Variation in Stock Returns," Journal of Finance, American Finance Association, vol. 52(1), pages 1-33, March.
    33. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    34. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    35. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    36. Gibbons, Michael R & Ross, Stephen A & Shanken, Jay, 1989. "A Test of the Efficiency of a Given Portfolio," Econometrica, Econometric Society, vol. 57(5), pages 1121-1152, September.
    37. Gibbons, Michael R., 1982. "Multivariate tests of financial models : A new approach," Journal of Financial Economics, Elsevier, vol. 10(1), pages 3-27, March.
    38. repec:bla:jfinan:v:53:y:1998:i:4:p:1285-1309 is not listed on IDEAS
    39. Shanken, Jay, 1986. "Testing Portfolio Efficiency When the Zero-Beta Rate Is Unknown: A Note," Journal of Finance, American Finance Association, vol. 41(1), pages 269-276, March.
    40. Yaniv Grinstein & Roni Michaely, 2005. "Institutional Holdings and Payout Policy," Journal of Finance, American Finance Association, vol. 60(3), pages 1389-1426, June.
    41. Zhou, Guofu, 1995. "Small sample rank tests with applications to asset pricing," Journal of Empirical Finance, Elsevier, vol. 2(1), pages 71-93, March.
    42. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-636, May-June.
    43. Zhou, Guofu, 1994. "Analytical GMM Tests: Asset Pricing with Time-Varying Risk Premiums," The Review of Financial Studies, Society for Financial Studies, vol. 7(4), pages 687-709.
    44. repec:bla:jfinan:v:53:y:1998:i:3:p:819-843 is not listed on IDEAS
    45. Fama, Eugene F & French, Kenneth R, 1996. "Multifactor Explanations of Asset Pricing Anomalies," Journal of Finance, American Finance Association, vol. 51(1), pages 55-84, March.
    46. MacKinlay, A Craig & Richardson, Matthew P, 1991. "Using Generalized Method of Moments to Test Mean-Variance Efficiency," Journal of Finance, American Finance Association, vol. 46(2), pages 511-527, June.
    47. Roll, Richard, 1985. "A note on the geometry of Shanken's CSR T2 test for mean/variance efficiency," Journal of Financial Economics, Elsevier, vol. 14(3), pages 349-357, September.
    48. Magnus, J.R. & Neudecker, H., 1979. "The commutation matrix : Some properties and applications," Other publications TiSEM d0b1e779-7795-4676-ac98-1, Tilburg University, School of Economics and Management.
    49. Black, Fischer, 1972. "Capital Market Equilibrium with Restricted Borrowing," The Journal of Business, University of Chicago Press, vol. 45(3), pages 444-455, July.
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    More about this item

    Keywords

    Cross-sectional regression; Fama-MacBeth; Specification test;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models

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