Valuation, Downside Risk Measures and Asymmetric Information: A Portfolio Optimization Approach
International Journal of Economics, Finance and Management Sciences
Volume 2, Issue 6, December 2014, Pages: 319-331
Received: Feb. 16, 2014;
Accepted: Apr. 25, 2014;
Published: Dec. 5, 2014
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Yoram Kroll, Ono Academic College-Ono, Israel and Ruppin Academic Center- Hemek Hefer, Israel
Moshe Ben-Horin, Ono Academic College-Ono, Israel
This paper proposed optimal equilibrium portfolio algorithm for valuing assets. When mean variance criterion is assumed, the proposed procedure and the conventional CAPM yield identical valuations. When a downside risk measures are employed and the distributions are asymmetric, the proposed algorithm and the three moments extensions of CAPM may yield close, but not necessarily identical, valuations. Our semi-variance results are identical to those of Bawa& Lindenberg, but in contrast to those of Estrada's downside risk extension of CAPM. The impact on valuation of "Mean Variance Preserving Shifts" and asymmetrical information regarding future cash flows are demonstrated by the proposed model.
Valuation, Downside Risk Measures and Asymmetric Information: A Portfolio Optimization Approach, International Journal of Economics, Finance and Management Sciences.
Vol. 2, No. 6,
2014, pp. 319-331.
Ang, A., J. Chen and Y. Xing. 2006. Downside risk. The Review of Financial Studies. 19 1191-1239.
Arditti, F. D. 1967. Risk and the required return on equity. Journal of Finance, 22 19-36.
Baumol, W. J. 1963. An Expected gain-confidence limit criterion for portfolio selection. Management Science, 10 174-181.
Bawa, V.S. and E. B. Lindenberg 1977. Capital market equilibrium in a mean-lower partial moment framework. Journal of Financial Economics. 5 189-200.
Bawa, V. S. 1978. Safety-First, stochastic dominance and optimal portfolio choice. Journal of Financial and Quantitative Analysis. 13 255-271.
Barone A., G. Gagliardiniand, G. Urga 2004. Testing asset pricing models with co-skewness. Journal of Business and economic Statistics. 22 474-485.
Brockett, P. L., and L. L. Golden 1987. A Class of utility functions containing all the common utility functions. Management Science. 33, 8 955-964.
Cheremushkin, S. 2009. Why D-CAPM is a big mistake? The incorrectness of the co-semi-variance statistics. Available at SSRN: http://ssrn.com/abstract 1336169.
Dittmar, R. F. 2002. Non-linear pricing kernels, kurtosis, preferences, and evidence from cross-section of equity returns," Journal of Finance. 57 369-402.
Danielson J., B. J. Jorgensen, M. Sarma, M. and C.J. Vries 2006. Comparing downside risk measures for heavy tailed distributions. Economic Letters. 92 202-208.
Estrada, J. 2007. Mean semi-variance behavior: Downside risk and capital asset pricing. International Review of Economics and Finance. 16 169-185.
Fama, E. F., and K. R. French, 1992. The Cross-Section of Expected Stock Returns, Journal of Finance. 47, 427-465.
Fama, E. F., and K. R. French, 1993. Common Risk Factors in the Returns on Stock and Bonds, Journal of Financial Economics, 33, 3-56.
Fama, E. F., and K. R. French, 1995. Size and Book-to-Market Factors in Earnings and Returns. Journal of Finance, 50, 131-155.
Fishburn, P.C. 1977. Mean-Risk analysis with risk associated with below target returns. American Economic Review. 67, 817-836.
Friend, I. and R. Westerfield 1980. Co-Skewness and capital asset pricing. Journal of Finance. 35 897-913.
Hadar, J. and W. R. Russell 1971. Stochastic dominance and diversification, Journal of Economic Theory. 3 288-305.
Hanoch, G., and H. Levy 1969. Efficiency analysis of choices involving risk. Review of Economic Studies. 36 335-346.
Harvey, C. R. and A. Siddique 2000. Conditional skewness in asset pricing tests. Journal of Finance 55 1263-1295.
Javid A. Y. 2009. Test of higher moment capital asset pricing model in case of pakistani equity market." European Journal of Economics, Financial and Administrative Sciences.15 144-162.
Kraus, A. and R. Litzenberger 1976. Skewness Preference and the Valuation of Risky Assets", Journal of Finance. 31 1085- 1094.
Kroll, Y., M. Leshno, H. Levy and Y. Spector 1995. Increasing risk, decreasing absolute risk aversion and diversification. Journal of Mathematical Economics.24 537-556.
Levy, H. and H. M. Markowitz 1979. Approximating expected utility by a function of mean and variance. American Economic Review. 69 308-317.
Magni, C.A. 2007. Project valuation and investment decisions: CAPM versus arbitrage. Applied Financial Economics Letters. 3 137-140.
Magni, C.A. 2009. Correct or incorrect application of the CAPM? European Journal of Operational Research, 192 549-560.
Markowitz, H. 1990. Foundation of portfolio theory: Nobel Lecture". Economic Sciences, 279-287.
Nawrocki, D. 1999. A brief history of downside risk measures. The Journal of Investing, 8 9-25.
Post T., and P.V. Vilet 2006. Downside risk and asset pricing. Journal of Banking and Finance. 30 823-840.
Rothschild M. and J. E. Stiglitz. 1970. Increasing risk: I. A definition. Journal of Economic Theory, 2 225-243.