A note on optimal portfolio corresponding to the CVaR ratio
RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 4, pp. 921-930.

Various reward-risk performance measures and ratios have been considered in reward-risk portfolio selection problems. This paper investigates the optimal portfolio corresponding to the CVaR (STARR) ratio. Considering the LP solvability of CVaR, a method is proposed for detecting the optimal portfolio by using the corresponding Mean-CVaR optimization problem. By applying LP tools, a method is suggested for producing the optimal portfolio as a by-product during the procedure of computing the efficient frontier of the Mean-CVaR problem.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2016055
Classification : 91G10, 90C05
Mots-clés : Reward-risk ratio optimization, CVaR ratio, optimal portfolio, linear programming, subderivative
Keykhaei, Reza 1

1 Department of Mathematics, Khansar Faculty of Mathematics and Computer Science, Khansar, Iran.
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Keykhaei, Reza. A note on optimal portfolio corresponding to the CVaR ratio. RAIRO - Operations Research - Recherche Opérationnelle, Tome 51 (2017) no. 4, pp. 921-930. doi : 10.1051/ro/2016055. http://www.numdam.org/articles/10.1051/ro/2016055/

Y.P. Aneja and K.P.K. Nair, Bicriteria Transportation Problem. Manag. Sci. 25 (1979) 73–78. | DOI | MR | Zbl

P. Artzner, F. Delbaen, J.M. Eber and D. Heath, Thinking coherently. Risk 10 (1997) 68–71.

P. Artzner, F. Delbaen, J.M. Eber and D. Heath, Coherent measure of risk. Math. Finance 9 (1999) 203–228. | DOI | MR | Zbl

M.S. Bazaraa, J.J. Jarvis and H.D. Sherali, Linear Programming and Network Flows. John Wiley & Sons, New York (2005). | MR

A. Biglova, S. Ortobelli, S. Rachev and S. Stoyanov, Different approaches to risk estimation in portfolio theory. J. Portfolio Manag. 31 (2004) 103–112. | DOI

R. Keykhaei and M.T. Jahandideh, Tangency portfolios in the LP solvable portfolio selection models. RAIRO: OR 46 (2012) 149–158. | DOI | Numdam | Zbl

H.M. Markowitz, Portfolio Selection. J. Finance 7 (1952) 77–91.

D. Martin, S. Rachev and F. Siboulet, Phi-alpha Optimal Portfolios and Extreme Risk Management. Wilmott Mag. Finance (2003) 70–83.

G.C. Pflug, Some Remarks on the Value-at-Risk and the Conditional Value-at-Risk, in Probabilistic Constrained Optimization: Methodology and Applications, edited by S. Uryasev. Kluwer (2000) 272–281. | MR | Zbl

S. Rachev, T. Jasic, S. Stoyanov and F. Fabozzi, Momentum strategies using reward-risk stock selection criteria. J. Banking Finance 31 (2007) 2325–2346. | DOI

R.T. Rockafellar and S. Uryasev, Optimization of Conditional Value-at-Risk. J. Risk 2 (2000) 21–41. | DOI

R.T. Rockafellar and S. Uryasev, Conditional value-at-risk for general loss distributions. J. Bank. Finance 26 (2002) 1443–1471. | DOI

W.F. Sharpe, Mutual funds performance. J. Business 39 (1966) 119–138. | DOI

W.F. Sharpe, The Sharpe ratio. J. Portfolio Manag. 21 (1994) 49–58. | DOI

S. Stoyanov, S. Rachev and F. Fabozzi, Optimal financial portfolios. Appl. Math. Finance 14 (2007) 403–438. | DOI | MR | Zbl

J. Tobin, Liquidity Preference as a Behavior Towards Risk. Rev. Econ. Stud. 25 (1958) 65–86. | DOI

R.H. Tütüncü, A Note on Calculating the Optimal Risky Portfolio. Finance Stoch. 5 (2001) 413–417. | DOI | MR | Zbl

L. Zhu, T.F. Coleman and Y. Li, Min-max robust CVaR robust mean-variance portfolios. J. Risk 11 (2009) 55–85. | DOI

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