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Multivariate tests of asset pricing: Simulation evidence from an emerging market

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  • Javed Iqbal
  • Robert Brooks
  • Don U.A. Galagedera

Abstract

The finite sample performance of the Wald, GMM and Likelihood Ratio (LR) tests of multivariate asset pricing tests have been investigated in several studies on the US financial markets. This paper extends this analysis in two important ways. Firstly, considering the fact that the Wald test is not invariant to alternative non-linear formulation of the null hypothesis the paper investigates whether alternative forms of the Wald and GMM tests result in considerable difference in size and power. Secondly, the paper extends the analysis to the emerging market data. Emerging markets provide an interesting practical laboratory to test asset pricing models. The characteristics of emerging markets are different from the well developed markets of US, Japan and Europe. It is found that the asymptotic Wald and GMM tests based on Chi-Square critical values result in considerable size distortions. The bootstrap tests yield the correct sizes. Multiplicative from of bootstrap GMM test appears to outperform the LR test when the returns deviate from normality and when the deviations from the asset pricing model are smaller. Application of the bootstrap tests to the data from the Karachi Stock Exchange strongly supports the zero-beta CAPM. However the low power of the multivariate tests warrants a careful interpretation of the results.

Suggested Citation

  • Javed Iqbal & Robert Brooks & Don U.A. Galagedera, 2008. "Multivariate tests of asset pricing: Simulation evidence from an emerging market," Monash Econometrics and Business Statistics Working Papers 2/08, Monash University, Department of Econometrics and Business Statistics.
    • Handle: RePEc:msh:ebswps:2008-2
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    References listed on IDEAS

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    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. Harvey, Campbell R, 1995. "Predictable Risk and Returns in Emerging Markets," The Review of Financial Studies, Society for Financial Studies, vol. 8(3), pages 773-816.
    3. Blume, Marshall E, 1975. "Betas and Their Regression Tendencies," Journal of Finance, American Finance Association, vol. 30(3), pages 785-795, June.
    4. Surajit Ray & B. Ravikumar & N. Eugene Savin, 1998. "Robust Wald Tests in SUR Systems with Adding Up Restrictions: An Algebraic Approach to Proofs of Invariance," Econometrics 9802002, University Library of Munich, Germany.
    5. Pin-Huang Chou, 2000. "Alternative Tests Of The Zero-Beta Capm," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 23(4), pages 469-493, December.
    6. Nicolaas Groenewald & Patricia Fraser, 2001. "The Sensitivity of Tests of Asset Pricing Models to the "IID"-Normal Assumption: Contemporaneous Evidence from the US and UK Stock Markets," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 28(5-6), pages 771-798.
    7. Davidson, Russell & MacKinnon, James G., 1999. "The Size Distortion Of Bootstrap Tests," Econometric Theory, Cambridge University Press, vol. 15(3), pages 361-376, June.
    8. Chou, Pin-Huang, 2000. "Alternative Tests of the Zero-Beta CAPM," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 23(4), pages 469-493, Winter.
    9. 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.
    10. 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.
    11. Pin-Huang Chou & Mei-Chen Lin, 2002. "Tests of international asset pricing model with and without a riskless asset," Applied Financial Economics, Taylor & Francis Journals, vol. 12(12), pages 873-883.
    12. Khwaja, Asim Ijaz & Mian, Atif, 2005. "Unchecked intermediaries: Price manipulation in an emerging stock market," Journal of Financial Economics, Elsevier, vol. 78(1), pages 203-241, October.
    13. Gregory, Allan W & Veall, Michael R, 1985. "Formulating Wald Tests of Nonlinear Restrictions," Econometrica, Econometric Society, vol. 53(6), pages 1465-1468, November.
    14. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May.
    15. Inoue, Atsushi & Shintani, Mototsugu, 2006. "Bootstrapping GMM estimators for time series," Journal of Econometrics, Elsevier, vol. 133(2), pages 531-555, August.
    16. Hall, Peter & Horowitz, Joel L, 1996. "Bootstrap Critical Values for Tests Based on Generalized-Method-of-Moments Estimators," Econometrica, Econometric Society, vol. 64(4), pages 891-916, July.
    17. 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.
    18. Gibbons, Michael R., 1982. "Multivariate tests of financial models : A new approach," Journal of Financial Economics, Elsevier, vol. 10(1), pages 3-27, March.
    19. Nicolaas Groenewald & Patricia Fraser, 2001. "The Sensitivity of Tests of Asset Pricing Models to the IID‐Normal Assumption: Contemporaneous Evidence from the US and UK Stock Markets," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 28(5‐6), pages 771-798, June.
    20. Affleck-Graves, J. F. & Bradfield, D. J., 1993. "An examination of the power of Univariate tests of the CAPM: A simulation approach," Journal of Economics and Business, Elsevier, vol. 45(1), pages 17-33, February.
    21. 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.
    22. Moy, Ronald L. & Lee, Ahyee & Chen, Thomas P., 1997. "Multivariate tests of the capm under heteroskedasticity: A note," International Review of Economics & Finance, Elsevier, vol. 6(4), pages 431-439.
    23. 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.
    24. 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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    Cited by:

    1. Tanya Ara'ujo & Jo~ao Dias & Samuel Eleut'erio & Francisco Louc{c}~a, 2012. "How Fama Went Wrong: Measures of Multivariate Kurtosis for the Identification of the Dynamics of a N-Dimensional Market," Papers 1207.1202, arXiv.org.
    2. Araújo, Tanya & Dias, João & Eleutério, Samuel & Louçã, Francisco, 2013. "A measure of multivariate kurtosis for the identification of the dynamics of a N-dimensional market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3708-3714.
    3. Ayub, Usman & Shah, Syed Zulfiqar Ali & Abbas, Qaisar, 2015. "Robust analysis for downside risk in portfolio management for a volatile stock market," Economic Modelling, Elsevier, vol. 44(C), pages 86-96.
    4. Tanya Araujo & João Dias & Samuel Eleutério & Francisco Louçã, 2012. "How Fama Went Wrong: Measures of Multivariate Kurtosis for the Identification of the Dynamics of a N-Dimensional Market," Working Papers Department of Economics 2012/21, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
    5. Iqbal, Javed & Brooks, Robert & Galagedera, Don U.A., 2010. "Testing conditional asset pricing models: An emerging market perspective," Journal of International Money and Finance, Elsevier, vol. 29(5), pages 897-918, September.

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    Keywords

    Zero-beta CAPM; Multivariate Test; Wald; LR; Emerging Markets;
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