Abstract
A discrete-time version of dynamic portfolio selection model for survival is proposed in fuzzy environments. The investor gains an initial wealth every period and has a given consumption requirement. The investor survives only if his wealth is large enough to meet the requirement every period over a finite time horizon. After consumption the investor allocates the rest between a risky and a risk-free asset. This paper assumes that the gross rate of return on the risky asset is a fuzzy variable, then the functional equation of dynamic programming is established. In order to get the optimal investment policy, a hybrid intelligent algorithm to solve the optimal problem is presented. Finally, an illustrative case is given to demonstrate the effectiveness of the proposed algorithm.
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References
Carlsson, C., Fullér, R., Majlender, P.: A Possibilistic Approach to Selecting Portfolios with Highest Utility Score. Fuzzy Sets and Systems 131, 13–21 (2002)
Chen, Y., Liu, Y.K., Chen, J.: Fuzzy Portfolio Selection Problems Based on Credibility Theory. In: Yeung, D.S., Liu, Z.-Q., Wang, X.-Z., Yan, H. (eds.) ICMLC 2005. LNCS (LNAI), vol. 3930, pp. 377–386. Springer, Heidelberg (2006)
Deng, X., Li, Z.: A Minimax Portfolio Selection Strategy with Equilibrium. European Journal of Operational Research 166, 278–292 (2005)
Huang, X.: Fuzzy chance-constrained Portfolio Selection. Applied Mathematics and Computation 177, 500–507 (2006)
Inuiguchi, M., Tanino, T.: Portfolio Selection under Independent Possibilistic Information. Fuzzy Sets and Systems 115, 83–92 (2000)
León, T., Liern, V., Vercher, E.: Viability of Infeasible Portfolio Selection Problems: A Fuzzy Approach. European Journal of Operational Research 139, 178–189 (2002)
Li, X., Liu, B.: Sufficient and Necessary Condition of Credibility Measure. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 14, 527–535 (2006)
Liu, B.: Theory and Practice of Uncertain Programming. Physica-Verlag, Heidelberg (2002)
Liu, B., Liu, Y.: Excepted Value of Fuzzy Variable and Fuzzy Expected Value Models. IEEE Transactions on Fuzzy Systems 10, 445–450 (2002)
Liu, B.: Foundation of Uncertainty Theory. Lecture Note. Tsinghua University (2003)
March, J.: Variable risk Preferences and the Focus of Attention. Journal of Risk & Insurance 59, 328–328 (1992)
Markowitz, H.: Portfolio selection. Journal of Finance 7, 77–91 (1952)
Roy, S.: Theory of Dynamic Portfolio Choice for Survival under Uncertainty. Mathematical Social Sciences 30, 171–194 (1995)
Simaan, Y.: Estimation risk in Portfolio Selection: the Mean Variance Model Versus the Mean Absolute Deviation Model. Management Science 43, 1437–1446 (1997)
Tanaka, H., Guo, P.: Portfolio Selection Based on Fuzzy Probabilities and Possibility Distributions. Fuzzy Sets and Systems 111, 387–397 (2000)
Tang, W., Wang, Y.: Intelligent Method for Dynamic Portfolio Selection with Probability Criterion. In: 2004 IEEE International Conference on Systems, Man and Cybernetics, pp. 3323–3327. IEEE Computer Society Press, Los Alamitos (2004)
Xu, X., Lin, Y.: An investment Decision Model with the Survival Probability Criterion and its Numerical solutions: the finite horizon case. International Transactions in Operational Research 9, 51–71 (2002)
Zadeh, L.: Fuzzy sets. Information and Control 8, 338–353 (1965)
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Zhang, J., Tang, W., Wang, C., Zhao, R. (2007). Fuzzy Dynamic Portfolio Selection for Survival. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues. ICIC 2007. Lecture Notes in Computer Science, vol 4681. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74171-8_5
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DOI: https://doi.org/10.1007/978-3-540-74171-8_5
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