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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.

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Bibliographic Info

Paper provided by Monash University, Department of Econometrics and Business Statistics in its series Monash Econometrics and Business Statistics Working Papers with number 2/08.

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Length: 33 pages
Date of creation: Apr 2008
Date of revision:
Handle: RePEc:msh:ebswps:2008-2

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

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References

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  1. Harvey, Campbell R, 1995. "Predictable Risk and Returns in Emerging Markets," Review of Financial Studies, Society for Financial Studies, vol. 8(3), pages 773-816.
  2. 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, EconWPA.
  3. 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.
  4. 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.
  5. Davidson, Russell & MacKinnon, James G., 1999. "The Size Distortion Of Bootstrap Tests," Econometric Theory, Cambridge University Press, vol. 15(03), pages 361-376, June.
  6. Black, Fischer, 1972. "Capital Market Equilibrium with Restricted Borrowing," The Journal of Business, University of Chicago Press, vol. 45(3), pages 444-55, July.
  7. Blume, Marshall E, 1975. "Betas and Their Regression Tendencies," Journal of Finance, American Finance Association, vol. 30(3), pages 785-95, June.
  8. 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.
  9. Atsushi Inoue & Mototsugu Shintani, 2001. "Bootstrapping GMM Estimators for Time Series," Vanderbilt University Department of Economics Working Papers 0129, Vanderbilt University Department of Economics, revised Aug 2003.
  10. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  11. 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 469-93, Winter.
  12. 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 607-36, May-June.
  13. Gregory, Allan W & Veall, Michael R, 1985. "Formulating Wald Tests of Nonlinear Restrictions," Econometrica, Econometric Society, vol. 53(6), pages 1465-68, November.
  14. Gibbons, Michael R., 1982. "Multivariate tests of financial models : A new approach," Journal of Financial Economics, Elsevier, vol. 10(1), pages 3-27, March.
  15. 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.
  16. 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.
  17. 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.
  18. 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.
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Citations

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Cited by:
  1. 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.
  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. Tanya Ara\'ujo & Jo\~ao Dias & Samuel Eleut\'erio & Francisco Lou\c{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.
  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 - School of Economics and Management, Department of Economics, University of Lisbon.

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