Iqbal, Javed and Brooks, Robert and Galagedera, Don UA (2007): Robust Tests of the Lower Partial Moment Asset Pricing Model in Emerging Markets.
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This paper tests and compares the CAPM of Black (1972) and the Mean Lower Partial Moment (MLPM) Capital Asset Pricing Model of Bawa and Lindenberg (1977) and Harlow and Rao (1989) in the context of emerging markets. It is well known that returns in emerging markets are non-normal and have greater predictability than in the developed markets. Considering these stylized facts the paper extends the Harlow-Rao Likelihood Ratio test of a Black (1972) type version of the MLPM model and develops a Wald test that allow for non-normality of the returns. The paper also formulates a GMM test that is valid under the conditions of heteroskedasticity and serial dependence. For the test of the CAPM hypothesis against the MLPM alternative the paper remedies an econometric problem of testing in presence of a nuisance parameter. In the empirical application on an emerging market data it is shown that the conclusion on the validity of the asset pricing model are reversed when the correct p-values obtained through the bootstrap test are employed. We demonstrate that the empirical results appear to support both the Black version of the CAPM and the MLPM model when performed against unspecified alternative but the CAPM is supported when an MLPM alternative is specified.
|Item Type:||MPRA Paper|
|Original Title:||Robust Tests of the Lower Partial Moment Asset Pricing Model in Emerging Markets|
|English Title:||Robust Tests of the Lower Partial Moment Asset Pricing Model in Emerging Markets|
|Keywords:||Asset Pricing, Mean-Lower Partial Moments, Emerging Markets|
|Subjects:||G - Financial Economics > G1 - General Financial Markets > G12 - Asset Pricing; Trading volume; Bond Interest Rates
G - Financial Economics > G1 - General Financial Markets > G15 - International Financial Markets
|Depositing User:||Javed Iqbal|
|Date Deposited:||23. Sep 2010 15:13|
|Last Modified:||14. Feb 2013 23:31|
Affleck-Graves, J, and B. McDonald. "Nonnormalities and Tests of Asset Pricing Theories." Journal of Finance 44 (1989), 889-908.
Andrews, D., and W. Ploberger. "Optimal Test When Nuisance Parameter Is Present Only under the Alternative." Econometrica 62 (1994), 1383-1414.
Bawa, V. "Optimal Rules for Ordering Uncertain Prospects." Journal of Financial Economics 2 (1975), 95-121.
Bawa, V., S. Brown, and R. Klein. "Asymmetric Response Asset Pricing Models: Testable Alternatives to Mean-Variance Mimeo." (1981)
Bawa, V., and E. Lindenberg. "Capital Market Equilibrium in a Mean Lower Partial Moment Framework." Journal of Financial Economics 5 (1977): 189-200.
Bekaert, G, C. Erb, C.R. Harvey, and T.E. Viskanta. "Distributional Characteristics of Emerging Market Returns and Asset Allocation." Journal of Portfolio Management 24 (1998), 102-116.
Bekaert, G, and C. Harvey. "Time Varying World Market Integration." Journal of Finance 50 (1995), 403-444.
Bekaert, G, and C. Harvey. "Emerging Equity Market Volatility." Journal of Financial Economics 43 (1997), 27-77.
Black, F. "Capital Market Equilibrium with Restricted Borrowing." Journal of Business 45 (1972), 444-455.
Box, G.E.P., and D.A. Pierce. "Distribution of Residual Autocorrelations in Autoregressive Integrated Moving Average Time Series Models." Journal of American Statistical Association 65 (1970), 1509-1526.
Buhlmann, P. "Sieve Bootstrap for Time Series." Bernoulli 3 (1997), 123-148.
Chou, P. "Alternative Tests of the Zero-Beta CAPM." The Journal of Financial Research 23, (2000),469-493.
Claessens, S, S. Dasgupta, and J Glen. "Return Behaviour in Emerging Stock Markets." The World Bank Economic Review 9 (1995), 131-151.
Dufour, J, L Khalaf, and M Beaulieu. "Exact Skewness-Kurtosis Tests for Multivariate Normality and Goodness of Fit in Multivariate Regressions with Application to Asset Pricing Models." Oxford Bulletin of Economics and Statistics 65 (2003), 891-906.
Eftekhari, B, and S Satchell. "Non-Normality of Returns in Emerging Markets." Research in International Business and Finance, Supplement 1 (1996), 267-277.
Estrada, J. "Cost of Equity in Emerging Markets: A Downside Risk Approach." Emerging Market Quarterly 4 (2000), 9-30.
Estrada, J. "Systematic Risk in Emerging Markets: The D-CAPM." Emerging Market Review 3 (2002), 365-379.
Fama, E. "The Behaviour of Stock Market Prices." Journal of Business 38 (1965), 34- 105.
Fama, E., and J. MacBeth. "Risk, Return and Equilibrium: Empirical Tests." Journal of Political Economy 81 (1973), 607-636.
Garcia, R. "Asymptotic Null Distribution of the Likelihood Ratio Test in Markov Switching Models." International Economic Review 39 (1998), 763-788.
Gibbons, M. "Multivariate Tests of Financial Models: A New Approach." Journal of Financial Economics 10 (1982), 3-56.
Gibbons, M., S. Ross, and J. Shanken. "Testing the Efficiency of a Given Portfolio," Econometrica 57 (1989), 1121-1152.
Groenewold, N., and P. Fraser. "Tests of Asset-Pricing Models: How Important Is the iid-Normal Assumption? " Journal of Empirical Finance 8 (2001), 427-449.
Hansen, B. "Inference When Nuisance Parameter Is Not Identified under the Null Hypothesis." Econometrica 64 (1996), 413-430.
Hansen, B. "Inference in Tar Models." Studies in Nonlinear Dynamics and Econometrics 2 (1997), 1-14.
Harlow, W., and R. Rao. "Asset Pricing in a Generalized Mean-Lower Partial Moment Framework: Theory and Evidence." Journal of Financial and Quantitative Analysis 24 (1989), 285-311.
Harvey, C. "Predictable Risk and Returns in Emerging Markets." Review of Financial Studies 8 (1995), 773-816.
Harvey, C. "The Drivers of Expected Returns in International Markets." Emerging Markets Quarterly 4 (2000), 32-49.
Harvey, C. "Asset Pricing in Emerging Markets, Working Paper Duke University." (2001).
Hosking, J. "The Multivariate Portmanteau Statistic." Journal of American Statistical Association 75 (1980), 602-608.
Hwang, S., and C. Pedersen. "Asymetric Risk Measures When Modelling Emerging Markets Equities: Evidence for Regional and Timing Effects." Emerging Markets Review 5 (2004), 109-128.
Iqbal, J. and R. Brooks. "Multivariate Tests of Asset Pricing in Emerging Markets." Paper presented at Econometric Society Australasian Meetings 2006, Alice Springs Australia (2006a).
Iqbal, J. and R. Brooks. "A Test of Capm on Karachi Stock Exchange." Unpublished paper (2006b).
Iqbal, J. and R. Brooks., “Alternative beta risk estimators and asset pricing tests in emerging markets: the case of Pakistan,” Journal of Multinational Financial Management (2007), forthcoming.
Jobson, J., and B. Korkie. "Potential Performance and Tests of Portfolio Efficiency"
Journal of Financial Economics 10 (1982), 433-466. Kan, R, and G. Zhou "Modelling Non-Normality Using Multivariate T: Implications for Asset Pricing” Working Paper University of Toronto and Washington University in St Louis, 2006."
Kon, S. "Models of Stock Returns-a Comparison." Journal of Finance 39 (1984), 147- 165.
MacKinlay, A., and M. Richardson. "Using Generalized Method of Moments to Test Mean- Variance Efficiency." Journal of Finance 46 (1991): 511-527.
MacKinnon, J. "Bootstrap Inference in Econometrics." Canadian Journal of Economics 35 (2002), 615-645.
Mardia, K. "Measures of Multivariate Skewness and Kurtosis with Applications." Biomatrica 57 (1970), 519-530.
Markowitz, H.. Portfolio Selection: Efficient Diversification of Investments: Wiley, Yale University Press, 1959.
Newey, W., and K. West. "A Simple Positive Semi-Definitie, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix." Econometrica 55 (1987), 703- 708.
Pederson, C., and S. Hwang. "Does Downside Beta Matters in Asset Pricing?" Financial Econometrics Research Centre Working Paper, Cass Business School (2003).
Ray, S., B. Ravikumar, and E. Savin. Robust Wald Tests in Sur Systems with Adding up Restrictions: An Algebraic Approach to Proofs of Invariance. 1998, Working Paper, Department of Economics, University of Iowa.
Richardson, M, and T Smith. "A Test for Multivariate Normality in Stock Returns." Journal of Business 66 (1993), 295-321.
Solomons, R, and H. Grootveld. "The Equity Risk Premium: Emerging Vs Developed Markets." Emerging Market Review 4 (2003), 121-144.
White, H. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity." Econometrica 48 (1980), 817-838.