Analysis of Conditional Capital Asset Pricing Model with Time Variant Beta using Standard Capital Asset Pricing Model

Document Type : Research Paper

Authors

1 Assistant Prof. of Financial Management, Faculty of Management, University of Tehran, Tehran, Iran

2 Associate Prof. of Financial Management, Faculty of Management, University of Tehran, Tehran, Iran

3 M.Sc. in Financial Management, Faculty of Management, University of Tehran, Tehran, Iran

Abstract

Objective: The aim of the present study is to analyze and test the power of Conditional Capital Asset Pricing Model (CAPM) with Time Variant Beta against Standard Capital Asset Pricing Model to find the better model to explain expected return of stocks.
Methods: Using monthly data, beta value was estimated using standard CAPM and Multivariate GARCH methods for companies included in the statistical sample. Based on these two methods, the expected returns of the next year to test out-of-sample performancewere calculated by eliminating 12 months from the top and adding 12 months from the bottom. The same process was repeated for the following years. Then, the accuracy of each of these models was examined using criteria MAE and MSE.
Results: Using paired t-test and Diebold-Mariano test, we tested the research hypothesesand the results were presented based on MAE and MSE indices. The results showed that according to both criteria in MAE and MSE, the conditional CAPM models, whether based on full rank BEKK or diagonal BEKK, can have better performance than the standard CAPM model.
Conclusion: Regarding the findings and better predictive power of conditional CAPM based on full rank BEKK and/or diagonal BEKK, in terms of MAE and MSE criteria, replacing the standard model with these models can result in higher accuracy.
 

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References

Bodie, Z., Kane, A., & Marcus, A. (2010). Investments. McGraw-Hill.
Bollerslev, T. & Engel, R.F. & Wooldridge, J. (1988). A Capital Asset Pricing Model with Time Varying Covariances. Journal of Political Economy, 96(1), 116-131.
Engle, R.F. & Kroner, K.F. (1995) Multivariate Simultaneous Generalized ARCH. Econometric Theory, 11(1), 122-150.
Engle, R.F. (1982). Autoregressive Conditional Heteroskedasticity with Estimates of the Variance of United Kingdom Inflation. Econometrica. 50(4), 987–1007.
Ferson, W. & Kandel, S. & Stambaugh, R. (1987). Test of Asset Pricing with Time-Varying Expected Risk Premiums and Market Betas. Journal of Finance, 42(2), 201-220.
Hafner, C. & Herwartz, H. (1998). Time-Varying Market Price of Risk in the CAPM-Approaches, Empirical Evidence and Implications. Finance, 19, 93-112.
Hall, S., Miles, D. & Taylor, M. (1989). Modeling Asset Prices with Time-Varying Betas. The Manchester School, 57(4), 340-356.
Hansson, B. & Hordahl, P. (1998).Testing the Conditional CAPM Using Multivariate GARCH-M. Applied Financial Economics, 8(4), 377-388.
Harvey, C. (1989). Time-Varying Conditional Covariances in Tests of Asset Pricing Models. Journal of Financial Economics, 24(2), 289-317.
Huang, P. & Hueng, C. J. (2008). Conditional Risk-Return in a Time-Varying Beta Model. Quantitative Finance, 8(4), 381-390.
Jagannathan, R. & Wang, Z. (1996). The Conditional CAPM and Cross-Section of Expected Returns. The Journal of Finance, 51(1), 3-53.
Kaplan, S. & Garrick, B. J. (1981). On the quantitative definition of risk. Risk analysis, 1(1), 11-27.
Kroner K.F. & Ng V.K. (1998). Modeling Asymmetric Comovements of Asset Returns. The Review of Financial Studies, 11(4), 817–844.
Lintner J. (1965) The valuation of risk assets and the selection of risky investments in stock portfolios and capital budgets. Review of Economics and Statistics, 47(1), 13–37.
NG, L. (1991). Test of the CAPM with Time Varying Covariances: A Multivariate GARCH Approach. Journal of Finance, 46(4), 1507-1521.
Raei R. & Pouyanfar A. (2005). Advanced Investment Management. SAMT. (in Persian)
Raei, R. & Saeidi A. (2005). Principles of financial engineering and risk management. SAMT. (in Persian)
Sharpe, W. (1995). Investments. Prentice Hall.
Financial Research Journal
Volume 20, Issue 1
2018
Pages 17-32

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