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Robust Estimation and Forecasting of the Capital Asset Pricing Model

  • Guorui Bian

    (Department of Statistics East China Normal University.)

  • Michael McAleer

    (Econometric Institute, Erasmus School of Economics, Erasmus University Rotterdam and Tinbergen Institute, The Netherlands, Department of Quantitative Economics, Complutense University of Madrid, and Institute of Economic Research, Kyoto University.)

  • Wing-Keung Wong

    (Department of Economics, Hong Kong Baptist University.)

In this paper, we develop a modified maximum likelihood (MML) estimator for the multiple linear regression model with underlying student t distribution. We obtain the closed form of the estimators, derive the asymptotic properties, and demonstrate that the MML estimator is more appropriate for estimating the parameters of the Capital Asset Pricing Model by comparing its performance with least squares estimators (LSE) on the monthly returns of US portfolios. The empirical results reveal that the MML estimators are more efficient than LSE in terms of the relative efficiency of one-step-ahead forecast mean square error in small samples.

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Paper provided by Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales, Instituto Complutense de Análisis Económico in its series Documentos de Trabajo del ICAE with number 2012-09.

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Length: 23 pages
Date of creation: 2012
Date of revision: Apr 2012
Handle: RePEc:ucm:doicae:1209
Note: The third author would like to thank Robert B. Miller and Howard E. Thompson for their continuous guidance and encouragement. For financial support, the first author is grateful to East China Normal University, the second author acknowledges the Australian Research Council, National Science Council, Taiwan, and the Japan Society for the Promotion of Science, and the third author wishes to acknowledge Hong Kong Baptist University.
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  1. Dominic Gasbarro & Wing-Keung Wong & J. Kenton Zumwalt, 2012. "Stochastic Dominance And Behavior Towards Risk: The Market For Ishares," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 7(01), pages 1250005-1-1.
  2. Blume, Marshall E, 1975. "Betas and Their Regression Tendencies," Journal of Finance, American Finance Association, vol. 30(3), pages 785-95, June.
  3. Wing-Keung Wong & Guorui Bian, 2004. "Estimating Parameters in Autoregressive Models with Asymmetric Innovations," Departmental Working Papers wp0408, National University of Singapore, Department of Economics.
  4. Hausman, J. A. & Abrevaya, Jason & Scott-Morton, F. M., 1998. "Misclassification of the dependent variable in a discrete-response setting," Journal of Econometrics, Elsevier, vol. 87(2), pages 239-269, September.
  5. Qiao, Zhuo & McAleer, Michael & Wong, Wing-Keung, 2009. "Linear and nonlinear causality between changes in consumption and consumer attitudes," Economics Letters, Elsevier, vol. 102(3), pages 161-164, March.
  6. Wing-Keung Wong & Boon-Kiat Chew & Douglas Sikorsk, 2001. "Can the Forecasts Generated from E/P Ratio and Bond Yield be Used to Beat Stock Markets?," Multinational Finance Journal, Multinational Finance Journal, vol. 5(1), pages 59-86, March.
  7. Qiao, Zhuo & Smyth, Russell & Wong, Wing-Keung, 2008. "Volatility switching and regime interdependence between information technology stocks 1995-2005," Global Finance Journal, Elsevier, vol. 19(2), pages 139-156.
  8. Blattberg, Robert C & Gonedes, Nicholas J, 1974. "A Comparison of the Stable and Student Distributions as Statistical Models for Stock Prices," The Journal of Business, University of Chicago Press, vol. 47(2), pages 244-80, April.
  9. Wing-Keung Wong, 2007. "Stochastic Dominance and Mean-Variance Measures of Profit and Loss for Business Planning and Investment," Finance Working Papers 21922, East Asian Bureau of Economic Research.
  10. Wing-Keung Wong & Meher Manzur & Boon-Kiat Chew, 2002. "How Rewarding Is Technical Analysis? Evidence From Singapore Stock Market," Departmental Working Papers wp0216, National University of Singapore, Department of Economics.
  11. 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.
  12. Kon, Stanley J, 1984. " Models of Stock Returns-A Comparison," Journal of Finance, American Finance Association, vol. 39(1), pages 147-65, March.
  13. Chan, Chia-Ying & de Peretti, Christian & Qiao, Zhuo & Wong, Wing-Keung, 2012. "Empirical test of the efficiency of the UK covered warrants market: Stochastic dominance and likelihood ratio test approach," Journal of Empirical Finance, Elsevier, vol. 19(1), pages 162-174.
  14. James J. Kung & Wing-Keung Wong, 2009. "Efficiency Of The Taiwan Stock Market," The Japanese Economic Review, Japanese Economic Association, vol. 60(3), pages 389-394.
  15. Hooi Hooi Lean & Michael McAleer & Wing-Keung Wong, 2010. "Market Efficiency of Oil Spot and Futures: A Mean-Variance and Stochastic Dominance Approach," Working Papers in Economics 10/18, University of Canterbury, Department of Economics and Finance.
  16. William F. Sharpe, 1963. "A Simplified Model for Portfolio Analysis," Management Science, INFORMS, vol. 9(2), pages 277-293, January.
  17. Dominic Gasbarro & Wing-Keung Wong & J. Kenton Zumwalt, 2007. "Stochastic Dominance Analysis of iShares," Finance Working Papers 21919, East Asian Bureau of Economic Research.
  18. Egozcue, Martin & Wong, Wing-Keung, 2010. "Gains from diversification on convex combinations: A majorization and stochastic dominance approach," European Journal of Operational Research, Elsevier, vol. 200(3), pages 893-900, February.
  19. Pettit, R. Richardson & Westerfield, Randolph, 1974. "Using the Capital Asset Pricing Model and the Market Model to Predict Security Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 9(04), pages 579-605, September.
  20. Clements, Michael P. & Hendry, David F., 1997. "An empirical study of seasonal unit roots in forecasting," International Journal of Forecasting, Elsevier, vol. 13(3), pages 341-355, September.
  21. 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 1121-52, September.
  22. Bai, Zhidong & Wong, Wing-Keung & Zhang, Bingzhi, 2010. "Multivariate linear and nonlinear causality tests," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(1), pages 5-17.
  23. Wai Fong & Wing Wong, 2006. "The modified mixture of distributions model: a revisit," Annals of Finance, Springer, vol. 2(2), pages 167-178, March.
  24. Hsiao, Cheng, 1989. "Consistent estimation for some nonlinear errors-in-variables models," Journal of Econometrics, Elsevier, vol. 41(1), pages 159-185, May.
  25. Broll, Udo & Wahl, Jack E. & Wong, Wing-Keung, 2006. "Elasticity of risk aversion and international trade," Economics Letters, Elsevier, vol. 92(1), pages 126-130, July.
  26. Honore, Bo E. & Hu, Luojia, 2004. "Estimation of cross sectional and panel data censored regression models with endogeneity," Journal of Econometrics, Elsevier, vol. 122(2), pages 293-316, October.
  27. Wing-Keung Wong & Raymond H. Chan, 2004. "On the Estimation of Cost of Capital and its Reliability," Departmental Working Papers wp0401, National University of Singapore, Department of Economics.
  28. Chenghu Ma & Wing-Keung Wong, 2013. "Stochastic Dominance and Risk Measure: A Decision-Theoretic Foundation for VaR and C-VaR," Papers 2013-10-14, Working Paper.
  29. Amemiya, Yasuo, 1985. "Instrumental variable estimator for the nonlinear errors-in-variables model," Journal of Econometrics, Elsevier, vol. 28(3), pages 273-289, June.
  30. Qiao, Zhuo & Li, Yuming & Wong, Wing-Keung, 2008. "Policy change and lead-lag relations among China's segmented stock markets," Journal of Multinational Financial Management, Elsevier, vol. 18(3), pages 276-289, July.
  31. Eugene F. Fama, 1965. "Portfolio Analysis in a Stable Paretian Market," Management Science, INFORMS, vol. 11(3), pages 404-419, January.
  32. Wong, Wing-Keung & Phoon, Kok Fai & Lean, Hooi Hooi, 2008. "Stochastic dominance analysis of Asian hedge funds," Pacific-Basin Finance Journal, Elsevier, vol. 16(3), pages 204-223, June.
  33. Fong, Wai Mun & Lean, Hooi Hooi & Wong, Wing Keung, 2008. "Stochastic dominance and behavior towards risk: The market for Internet stocks," Journal of Economic Behavior & Organization, Elsevier, vol. 68(1), pages 194-208, October.
  34. Zhidong Bai & Hua Li & Huixia Liu & Wing‐Keung Wong, 2011. "Test statistics for prospect and Markowitz stochastic dominances with applications," Econometrics Journal, Royal Economic Society, vol. 14(2), pages 278-303, 07.
  35. Wong, Wing-Keung & Li, Chi-Kwong, 1999. "A note on convex stochastic dominance," Economics Letters, Elsevier, vol. 62(3), pages 293-300, March.
  36. M. Qamarul Islam & Moti Tiku, 2010. "Multiple linear regression model with stochastic design variables," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(6), pages 923-943.
  37. Clark, Peter K, 1973. "A Subordinated Stochastic Process Model with Finite Variance for Speculative Prices," Econometrica, Econometric Society, vol. 41(1), pages 135-55, January.
  38. Lam, Kin & Liu, Taisheng & Wong, Wing-Keung, 2010. "A pseudo-Bayesian model in financial decision making with implications to market volatility, under- and overreaction," European Journal of Operational Research, Elsevier, vol. 203(1), pages 166-175, May.
  39. Li, Tong & Hsiao, Cheng, 2004. "Robust estimation of generalized linear models with measurement errors," Journal of Econometrics, Elsevier, vol. 118(1-2), pages 51-65.
  40. Eugene F. Fama, 1963. "Mandelbrot and the Stable Paretian Hypothesis," The Journal of Business, University of Chicago Press, vol. 36, pages 420.
  41. Wong, Wing-Keung & McAleer, Michael, 2009. "Mapping the Presidential Election Cycle in US stock markets," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(11), pages 3267-3277.
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