Presentation a model for crediblistic multi-period portfolio optimization model whit bankruptcy control
Subject Areas : Industrial Managementsnoor modaresi 1 , farshid kheirollah 2 , mehrdad ghanbari 3 , babak jamshidinavid 4
1 - Department of accounting , Kermanshah Branch, Islamic Azad University ,Kermanshah, Iran.
2 - Department of accounting, Razi University, Kermanshah, Iran
3 - Department of accounting , Kermanshah Branch, Islamic Azad University ,Kermanshah, Iran
4 - Department of accounting , Kermanshah Branch, Islamic Azad University ,Kermanshah, Iran.
Keywords: accumulated risk, bankruptcy control, Multi-period portfolio optimization, portfolio uncertaint, expected value of investor,
Abstract :
In this research, a mathematical model has been presented for optimizing multi-period portfolios with a bankruptcy control approach. The goals of optimizing the multi-period portfolios include: 1- maximizing the expected outflow of the investor 2- Minimizing accumulated risk 3- Minimizing the uncertainty of the portfolio''''s returns during the investment period, that achievement of these three objectives has been evaluated by two limits of bankruptcy control and the maximum and minimum adjustments of investment amounts during the investment period. The Hybrid Particle Swarm Optimization (Hybrid PSO) algorithm has been considered as the proposed solution for solving the model and a practical example has been presented to illustrate the application of the proposed model, which includes a portfolio with 17 different types of stocks from the companies listed in Tehran Stock Exchange For the three-year period from 2014 to 2016, the daily returns of these companies have been used as inputs for the model. Three different modes for the weights of the goals of optimizing the portfolio of multi- period portfolios have been determined using the sensitivity analysis table. In the end, the state of investment, which the investor equates to all three goals of optimizing the weight, has been the most suitable state for optimizing a multi-period of portfolios. the results has been compared with other algorithms Experimental results have shown that the algorithm proposed by this research for solving the model has been more appropriate than other algorithm.
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2-Oysu, C & Bingul, Z. (2009). Application of heuristic and hybrid-GASA algorithms to tool-path optimization problem for minimizing airtime during machining, Eng. Appl. Artif.Intell. 22 (3):389–396.
3-Li, C.J& Li, Z.F .(2012). Multi-period portfolio optimization for asset-liability management with bankrupt control, Appl. Math. Comput, 218(5): 11196–11208.
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5-Li, D .(2000). Optimal dynamic portfolio selection: multiperiod mean-variance formulation, Math. Finance, 10(7): 387–406.
6-Calafiore, G.C. (2008). Multi-period portfolio optimization with linear control policies, Automatica, 44(20): 2463–2473.
7-Zimmermann, H.J. (1978). Fuzzy programming and linear programming with several objective functions, Fuzzy Sets Syst, 1(3): 45–55.
8-Kennedy, J &. Eberhart, R.C.(1995). Particle swarm optimization, in: Proceedings of the IEEE Conference on Neural Networks, IV, Poscataway, NJ, 12(4):1942–1948.
9-Tsai, J.T & Chou, J.H& Liu, T.K(2006).Tuning the structure and parameters of a neural network by using hybrid Taguchi-genetic algorithm, IEEE Trans. Neural Netw, 17(8): 69–80.
10-Zadeh, L.A. (1965) Fuzzy sets, Inf. Control, 338–353
Markowitz, H, (1952). Portfolio selection. The journal of finance, 7(1), 77-91.
11-Gharakhani M &. Sadjadi, S.J. (2013).A fuzzy compromise programming approach for the Black-Litterman portfolio selection model, Decis. Sci. Lett, 5(1): 11–22.
12-Hakansson, N. (1971). Multi-period mean-variance analysis: toward a general theory of portfolio choice, J. Financ, 26(12): 857–884.
13-Li, P.K & Liu, B.D(2008). Entropy of credibility distributions for fuzzy variables, IEEE Trans. Fuzzy Syst, 16(5): 123–129.
14- Rahnamay Roodposhty.F & Chavoshi,K & Ebrahim.S(2013).Optimization of portfolio Constituted from mutual funds of Tehran stock exchange using genetic algorithm, Journal Management System, 3(12):217-232.
15-Yan, W & Miao, R.&. Li, S.R. (2007). Multi-period semi-variance portfolio selection: model and numerical solution, Appl. Math. Comput, 194 (23): 128–134.
16-Li, X.&. Zhou, X.Y & Lim, A.E.B.(2002). Dynamic mean-variance portfolio selection with no-shorting constraints, SIAM J. Control Opt, 40(9): 1540–1555.
17-Zhang, Y.J & Liu. (2014).Credibilitic mean-variance model for multi-period portfolio selection problem with risk control, OR Spectr, 36(14): 113–132.
18-Zhou, A.E.B & Lim. (2004). Dynamic mean-variance portfolio selection with no-shorting constraints, SIAM J. Control Opt, 40(20): 1540–1555.
_||_1-Alimi, A, & Zandieh, M & Amiri,M .(2012).Multi-objective portfolio optimization of mutual funds under downside risk measure using fuzzy theory, Int. J. Ind. Eng. Computr. 3(1): 859–872.
2-Oysu, C & Bingul, Z. (2009). Application of heuristic and hybrid-GASA algorithms to tool-path optimization problem for minimizing airtime during machining, Eng. Appl. Artif.Intell. 22 (3):389–396.
3-Li, C.J& Li, Z.F .(2012). Multi-period portfolio optimization for asset-liability management with bankrupt control, Appl. Math. Comput, 218(5): 11196–11208.
4-Goldberg, D.E.(1989). Genetic Algorithms in Search, Optimization, and Machine Learning, Addison-Wesley, Reading, 32(7):354-378.
5-Li, D .(2000). Optimal dynamic portfolio selection: multiperiod mean-variance formulation, Math. Finance, 10(7): 387–406.
6-Calafiore, G.C. (2008). Multi-period portfolio optimization with linear control policies, Automatica, 44(20): 2463–2473.
7-Zimmermann, H.J. (1978). Fuzzy programming and linear programming with several objective functions, Fuzzy Sets Syst, 1(3): 45–55.
8-Kennedy, J &. Eberhart, R.C.(1995). Particle swarm optimization, in: Proceedings of the IEEE Conference on Neural Networks, IV, Poscataway, NJ, 12(4):1942–1948.
9-Tsai, J.T & Chou, J.H& Liu, T.K(2006).Tuning the structure and parameters of a neural network by using hybrid Taguchi-genetic algorithm, IEEE Trans. Neural Netw, 17(8): 69–80.
10-Zadeh, L.A. (1965) Fuzzy sets, Inf. Control, 338–353
Markowitz, H, (1952). Portfolio selection. The journal of finance, 7(1), 77-91.
11-Gharakhani M &. Sadjadi, S.J. (2013).A fuzzy compromise programming approach for the Black-Litterman portfolio selection model, Decis. Sci. Lett, 5(1): 11–22.
12-Hakansson, N. (1971). Multi-period mean-variance analysis: toward a general theory of portfolio choice, J. Financ, 26(12): 857–884.
13-Li, P.K & Liu, B.D(2008). Entropy of credibility distributions for fuzzy variables, IEEE Trans. Fuzzy Syst, 16(5): 123–129.
14- Rahnamay Roodposhty.F & Chavoshi,K & Ebrahim.S(2013).Optimization of portfolio Constituted from mutual funds of Tehran stock exchange using genetic algorithm, Journal Management System, 3(12):217-232.
15-Yan, W & Miao, R.&. Li, S.R. (2007). Multi-period semi-variance portfolio selection: model and numerical solution, Appl. Math. Comput, 194 (23): 128–134.
16-Li, X.&. Zhou, X.Y & Lim, A.E.B.(2002). Dynamic mean-variance portfolio selection with no-shorting constraints, SIAM J. Control Opt, 40(9): 1540–1555.
17-Zhang, Y.J & Liu. (2014).Credibilitic mean-variance model for multi-period portfolio selection problem with risk control, OR Spectr, 36(14): 113–132.
18-Zhou, A.E.B & Lim. (2004). Dynamic mean-variance portfolio selection with no-shorting constraints, SIAM J. Control Opt, 40(20): 1540–1555.