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Analytical GMM Tests: Asset Pricing with Time-Varying Risk Premiums

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  • Zhou, Guofu

Abstract

We propose alternative generalized method of moments (GMM) tests that are analytically solvable in many econometric models, yielding in particular analytical GMM tests for asset pricing models with time-varying risk premiums. We also provide simulation evidence showing that the proposed tests have good finite sample properties and that their asymptotic distribution is reliable for the sample size commonly used. We apply our tests to study the number of latent factors in the predictable variations of the returns on portfolios grouped by industries. Using data from October 1941 to September 1986 and two sets of instrumental variables, we find that the tests reject a one-factor model but not a two-factor one. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.

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  • 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.
    • Handle: RePEc:oup:rfinst:v:7:y:1994:i:4:p:687-709
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    Cited by:

    1. Adrian, Tobias & Crump, Richard K. & Moench, Emanuel, 2015. "Regression-based estimation of dynamic asset pricing models," Journal of Financial Economics, Elsevier, vol. 118(2), pages 211-244.
    2. Smith, Daniel R., 2007. "Conditional coskewness and asset pricing," Journal of Empirical Finance, Elsevier, vol. 14(1), pages 91-119, January.
    3. Ahn, Seung C. & Gadarowski, Christopher, 2004. "Small sample properties of the GMM specification test based on the Hansen-Jagannathan distance," Journal of Empirical Finance, Elsevier, vol. 11(1), pages 109-132, January.
    4. Jagannathan, Ravi & Wang, Zhenyu, 1996. "The Conditional CAPM and the Cross-Section of Expected Returns," Journal of Finance, American Finance Association, vol. 51(1), pages 3-53, March.
    5. Campbell R. Harvey & Bruno Solnik & Guofu Zhou, 2002. "What Determines Expected International Asset Returns?," Annals of Economics and Finance, Society for AEF, vol. 3(2), pages 249-298, November.
    6. 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.
    7. Zhou, Guofu, 1999. "Security factors as linear combinations of economic variables," Journal of Financial Markets, Elsevier, vol. 2(4), pages 403-432, November.
    8. Zhou, Guofu, 1995. "Small sample rank tests with applications to asset pricing," Journal of Empirical Finance, Elsevier, vol. 2(1), pages 71-93, March.
    9. Ahn, Seung C. & Lee, Young H. & Schmidt, Peter, 2013. "Panel data models with multiple time-varying individual effects," Journal of Econometrics, Elsevier, vol. 174(1), pages 1-14.
    10. Shanken, Jay & Zhou, Guofu, 2007. "Estimating and testing beta pricing models: Alternative methods and their performance in simulations," Journal of Financial Economics, Elsevier, vol. 84(1), pages 40-86, April.
    11. Mika Vaihekoski, 1998. "Short-term returns and the predictability of Finnish stock returns," Finnish Economic Papers, Finnish Economic Association, vol. 11(1), pages 19-36, Spring.
    12. Hung-Gay Fung & Wai Lee & Wai Kin Leung, 2000. "Segmentation Of The A- And B-Share Chinese Equity Markets," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 23(2), pages 179-195, June.
    13. Velu, Raja & Zhou, Guofu, 1999. "Testing multi-beta asset pricing models," Journal of Empirical Finance, Elsevier, vol. 6(3), pages 219-241, September.
    14. Quintos, Carmela E., 1998. "Analysis of cointegration vectors using the GMM approach," Journal of Econometrics, Elsevier, vol. 85(1), pages 155-188, July.
    15. Pin-Huang Chou & Guofu Zhou, 2006. "Using Bootstrap to Test Portfolio Efficiency," Annals of Economics and Finance, Society for AEF, vol. 7(2), pages 217-249, November.
    16. Cakici, Nusret & Fabozzi, Frank J. & Tan, Sinan, 2013. "Size, value, and momentum in emerging market stock returns," Emerging Markets Review, Elsevier, vol. 16(C), pages 46-65.
    17. Nawalkha, Sanjay K., 1997. "A multibeta representation theorem for linear asset pricing theories," Journal of Financial Economics, Elsevier, vol. 46(3), pages 357-381, December.
    18. Kim, Soohun & Skoulakis, Georgios, 2018. "Ex-post risk premia estimation and asset pricing tests using large cross sections: The regression-calibration approach," Journal of Econometrics, Elsevier, vol. 204(2), pages 159-188.
    19. Scott Gilbert & Petr Zemčík, 2005. "Testing for Latent Factors in Models with Autocorrelation and Heteroskedasticity of Unknown Form," Southern Economic Journal, John Wiley & Sons, vol. 72(1), pages 236-252, July.
    20. Huang, Roger D. & Lin, Charles S. Y., 1996. "An analysis of nonlinearities in term premiums and forward rates," Journal of Empirical Finance, Elsevier, vol. 3(4), pages 347-368, December.
    21. Guofu Zhou & Yingzi Zhu, 2015. "Macroeconomic Volatilities and Long-Run Risks of Asset Prices," Management Science, INFORMS, vol. 61(2), pages 413-430, February.
    22. Klein, Rudolf F. & Chow, Victor K., 2013. "Orthogonalized factors and systematic risk decomposition," The Quarterly Review of Economics and Finance, Elsevier, vol. 53(2), pages 175-187.
    23. Yiying Cheng & Yaozhong Hu & Hongwei Long, 2020. "Generalized moment estimators for $$\alpha $$α-stable Ornstein–Uhlenbeck motions from discrete observations," Statistical Inference for Stochastic Processes, Springer, vol. 23(1), pages 53-81, April.
    24. Kallberg, Jarl & Pasquariello, Paolo, 2008. "Time-series and cross-sectional excess comovement in stock indexes," Journal of Empirical Finance, Elsevier, vol. 15(3), pages 481-502, June.

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