Skip to main content
Erschienen in: Soft Computing 4/2021

01.10.2020 | Methodologies and Application

A multi-period fuzzy mean-minimax risk portfolio model with investor’s risk attitude

verfasst von: Xingyu Yang, Weilong Liu, Sidou Chen, Yong Zhang

Erschienen in: Soft Computing | Ausgabe 4/2021

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

This paper deals with a multi-period portfolio selection problem considering investor’s risk attitude in fuzzy environment. We regard the return rate of each risky asset as a fuzzy number and use the expected value and semi-absolute deviation to measure its return and risk, respectively. We adopt an \(l_{\infty }\) downside risk function to measure the portfolio’s risk, which is represented by the maximum individual risk. Moreover, we formulate a reasonable diversification constraint for the portfolio involving risk-free asset. Then, we propose a multi-period portfolio selection model with the objectives of maximizing the final expected wealth and minimizing the final cumulative risk. Furthermore, we design a multiple particle swarm optimization to solve it. Finally, we illustrate the effectiveness of the model and algorithm by using a real case.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
Zurück zum Zitat Barati MA, Mohammadi M, Naderi B (2016) Multi-period fuzzy mean-semi variance portfolio selection problem with transaction cost and minimum transaction lots using genetic algorithm. Int J Ind Eng Comput 7(2):217–228 Barati MA, Mohammadi M, Naderi B (2016) Multi-period fuzzy mean-semi variance portfolio selection problem with transaction cost and minimum transaction lots using genetic algorithm. Int J Ind Eng Comput 7(2):217–228
Zurück zum Zitat Bergh FVD, Engelbrecht AP (2001) Training product unit networks using cooperative particle swarm optimisers. In: International joint conference on neural networks, pp 126–131 Bergh FVD, Engelbrecht AP (2001) Training product unit networks using cooperative particle swarm optimisers. In: International joint conference on neural networks, pp 126–131
Zurück zum Zitat Cai XQ, Teo KL, Yang XQ, Zhou XY (2000) Portfolio optimization under a minimax rule. Manag Sci 46(7):957–972CrossRef Cai XQ, Teo KL, Yang XQ, Zhou XY (2000) Portfolio optimization under a minimax rule. Manag Sci 46(7):957–972CrossRef
Zurück zum Zitat Carlsson C, Robert F, Majlender P (2002) A possibilistic approach to selecting portfolios with highest utility score. Fuzzy Sets Syst 131(1):13–21MathSciNetCrossRef Carlsson C, Robert F, Majlender P (2002) A possibilistic approach to selecting portfolios with highest utility score. Fuzzy Sets Syst 131(1):13–21MathSciNetCrossRef
Zurück zum Zitat Chow K, Denning KC (1994) On variance and lower partial moment betas: the equivalence of systematic risk measure. J Bus Finan Acc 21(2):231–241CrossRef Chow K, Denning KC (1994) On variance and lower partial moment betas: the equivalence of systematic risk measure. J Bus Finan Acc 21(2):231–241CrossRef
Zurück zum Zitat García F, González-Bueno J, Oliver J, Riley N (2019a) Selecting socially responsible portfolios: a fuzzy multicriteria approach. Sustainability 11(9): Article 2496 García F, González-Bueno J, Oliver J, Riley N (2019a) Selecting socially responsible portfolios: a fuzzy multicriteria approach. Sustainability 11(9): Article 2496
Zurück zum Zitat García F, González-Bueno J, Oliver J, Tamos̆iūnienė R (2019b) A credibilistic mean-semivariance-PER portfolio selection model for Latin America. J Bus Econ Manag 20(2):225–243CrossRef García F, González-Bueno J, Oliver J, Tamos̆iūnienė R (2019b) A credibilistic mean-semivariance-PER portfolio selection model for Latin America. J Bus Econ Manag 20(2):225–243CrossRef
Zurück zum Zitat Guo SN, Yu L, Li X, Kar S (2016) Fuzzy multi-period portfolio selection with different investment horizons. Eur J Oper Res 254(3):1026–1035MathSciNetCrossRef Guo SN, Yu L, Li X, Kar S (2016) Fuzzy multi-period portfolio selection with different investment horizons. Eur J Oper Res 254(3):1026–1035MathSciNetCrossRef
Zurück zum Zitat Guo SN, Ching WK, Li WK, Siu TK, Zhang WG (2020) Fuzzy hidden Markov-switching portfolio selection with capital gain tax. Expert Syst Appl 149(1):113304CrossRef Guo SN, Ching WK, Li WK, Siu TK, Zhang WG (2020) Fuzzy hidden Markov-switching portfolio selection with capital gain tax. Expert Syst Appl 149(1):113304CrossRef
Zurück zum Zitat Gupta P, Mehlawat MK, Yadav S, Kumar A (2020) Intuitionistic fuzzy optimistic and pessimistic multi-period portfolio optimization models. Soft Comput 24(16):11931–11956CrossRef Gupta P, Mehlawat MK, Yadav S, Kumar A (2020) Intuitionistic fuzzy optimistic and pessimistic multi-period portfolio optimization models. Soft Comput 24(16):11931–11956CrossRef
Zurück zum Zitat Harlow WV, Rao RKS (1989) Asset pricing in a generalized mean-lower partial moment framework: theory and evidence. J Financ Quant Anal 24(3):285–311CrossRef Harlow WV, Rao RKS (1989) Asset pricing in a generalized mean-lower partial moment framework: theory and evidence. J Financ Quant Anal 24(3):285–311CrossRef
Zurück zum Zitat Kar MB, Kar S, Guo SN, Li X, Majumder S (2019) A new bi-objective fuzzy portfolio selection model and its solution through evolutionary algorithms. Soft Comput 23(12):4367–4381CrossRef Kar MB, Kar S, Guo SN, Li X, Majumder S (2019) A new bi-objective fuzzy portfolio selection model and its solution through evolutionary algorithms. Soft Comput 23(12):4367–4381CrossRef
Zurück zum Zitat Kennedy J, Eberhart RC (1995) Particle swarm optimization. In: Proceedings of the IEEE international conference on neural networks, pp 1942–1948 Kennedy J, Eberhart RC (1995) Particle swarm optimization. In: Proceedings of the IEEE international conference on neural networks, pp 1942–1948
Zurück zum Zitat Konno H, Yamazaki H (1991) Mean-absolute deviation portfolio optimization models and its application to Tokyo stock market. Manag Sci 37(5):519–531CrossRef Konno H, Yamazaki H (1991) Mean-absolute deviation portfolio optimization models and its application to Tokyo stock market. Manag Sci 37(5):519–531CrossRef
Zurück zum Zitat Li D, Stahlecker P (2011) A portfolio selection model using fuzzy returns. Fuzzy Optim Decis Mak 10:167–191MathSciNetCrossRef Li D, Stahlecker P (2011) A portfolio selection model using fuzzy returns. Fuzzy Optim Decis Mak 10:167–191MathSciNetCrossRef
Zurück zum Zitat Li J, Xu J (2009) A novel portfolio selection model in a hybrid uncertain environment. Omega-Int J Manag S 37(2):439–449CrossRef Li J, Xu J (2009) A novel portfolio selection model in a hybrid uncertain environment. Omega-Int J Manag S 37(2):439–449CrossRef
Zurück zum Zitat Li W, Deng X (2020) Multi-parameter portfolio selection model with some novel score-deviation under dual hesitant fuzzy environment. Int J Fuzzy Syst 22(4):1123–1141MathSciNetCrossRef Li W, Deng X (2020) Multi-parameter portfolio selection model with some novel score-deviation under dual hesitant fuzzy environment. Int J Fuzzy Syst 22(4):1123–1141MathSciNetCrossRef
Zurück zum Zitat Liu BD, Liu YK (2002) Expected value of fuzzy variable and fuzzy expected value models. IEEE Trans Fuzzy Syst 10(4):445–450CrossRef Liu BD, Liu YK (2002) Expected value of fuzzy variable and fuzzy expected value models. IEEE Trans Fuzzy Syst 10(4):445–450CrossRef
Zurück zum Zitat Liu YJ, Zhang WG (2018) Fuzzy portfolio selection model with real features and different decision behaviors. Fuzzy Optim Decis Mak 17(7):1–20MathSciNetCrossRef Liu YJ, Zhang WG (2018) Fuzzy portfolio selection model with real features and different decision behaviors. Fuzzy Optim Decis Mak 17(7):1–20MathSciNetCrossRef
Zurück zum Zitat Liu YJ, Zhang WG, Xu WJ (2012) Fuzzy multi-period portfolio selection optimization models using multiple criteria. Automatica 48(12):3042–3053MathSciNetCrossRef Liu YJ, Zhang WG, Xu WJ (2012) Fuzzy multi-period portfolio selection optimization models using multiple criteria. Automatica 48(12):3042–3053MathSciNetCrossRef
Zurück zum Zitat Liu YJ, Zhang WG, Zhao XJ (2018) Fuzzy multi-period portfolio selection model with discounted transaction costs. Soft Comput 22(1):177–193CrossRef Liu YJ, Zhang WG, Zhao XJ (2018) Fuzzy multi-period portfolio selection model with discounted transaction costs. Soft Comput 22(1):177–193CrossRef
Zurück zum Zitat Markowitz H (1952) Portfolio selection. J Financ 7(1):77–91 Markowitz H (1952) Portfolio selection. J Financ 7(1):77–91
Zurück zum Zitat Mehlawat Kumar M (2016) Credibilistic mean-entropy models for multi-period portfolio selection with multi-choice aspiration levels. Inf Sci 345:9–26CrossRef Mehlawat Kumar M (2016) Credibilistic mean-entropy models for multi-period portfolio selection with multi-choice aspiration levels. Inf Sci 345:9–26CrossRef
Zurück zum Zitat Nawrocki DN (1991) Optimal algorithms and lower partial moment: Ex-post results. Appl Econ 23(3):465–470CrossRef Nawrocki DN (1991) Optimal algorithms and lower partial moment: Ex-post results. Appl Econ 23(3):465–470CrossRef
Zurück zum Zitat Niu B, Zhu YL, He XX, Wu H (2007) MCPSO: a multi-swarm cooperative particle swarm optimizer. Appl Math Comput 185(2):1050–1062MATH Niu B, Zhu YL, He XX, Wu H (2007) MCPSO: a multi-swarm cooperative particle swarm optimizer. Appl Math Comput 185(2):1050–1062MATH
Zurück zum Zitat Tripathi PK, Bandyopadhyay S, Pal SK (2007) Multi-objective particle swarm optimization with time variant inertia and acceleration coefficients. Inf Sci 177(22):5033–5049MathSciNetCrossRef Tripathi PK, Bandyopadhyay S, Pal SK (2007) Multi-objective particle swarm optimization with time variant inertia and acceleration coefficients. Inf Sci 177(22):5033–5049MathSciNetCrossRef
Zurück zum Zitat Tsaur RC (2013) Fuzzy portfolio model with different investor risk attitudes. Eur J Oper Res 227(2):385–390MathSciNetCrossRef Tsaur RC (2013) Fuzzy portfolio model with different investor risk attitudes. Eur J Oper Res 227(2):385–390MathSciNetCrossRef
Zurück zum Zitat Vercher E, Bermudez JD (2015) Portfolio optimization using a credibility mean-absolute semi-deviation model. Expert Syst Appl 42(20):7121–7131CrossRef Vercher E, Bermudez JD (2015) Portfolio optimization using a credibility mean-absolute semi-deviation model. Expert Syst Appl 42(20):7121–7131CrossRef
Zurück zum Zitat Wang YM, Parkan C (2005) A minimax disparity approach for obtaining OWA operator weights. Inf Sci 175(1–2):20–29MathSciNetCrossRef Wang YM, Parkan C (2005) A minimax disparity approach for obtaining OWA operator weights. Inf Sci 175(1–2):20–29MathSciNetCrossRef
Zurück zum Zitat Wei Y, Wang YP (2017) A new fuzzy multi-objective higher order moment portfolio selection model for diversified portfolios. Physica A 465:124–140MathSciNetCrossRef Wei Y, Wang YP (2017) A new fuzzy multi-objective higher order moment portfolio selection model for diversified portfolios. Physica A 465:124–140MathSciNetCrossRef
Zurück zum Zitat Yu JR, Lee WY, Chiou WJP (2014) Diversified portfolios with different entropy measures. Appl Math Comput 241(3):47–63MathSciNetCrossRef Yu JR, Lee WY, Chiou WJP (2014) Diversified portfolios with different entropy measures. Appl Math Comput 241(3):47–63MathSciNetCrossRef
Zurück zum Zitat Yue W, Wang YP, Xuan HJ (2019) Fuzzy multi-objective portfolio model based on semi-variance-semi-absolute deviation risk measures. Soft Comput 23(17):8159–8179CrossRef Yue W, Wang YP, Xuan HJ (2019) Fuzzy multi-objective portfolio model based on semi-variance-semi-absolute deviation risk measures. Soft Comput 23(17):8159–8179CrossRef
Zurück zum Zitat Zhang P (2019) Random credibilitic portfolio selection problem with different convex transaction costs. Soft Comput 23(24):13309–13320CrossRef Zhang P (2019) Random credibilitic portfolio selection problem with different convex transaction costs. Soft Comput 23(24):13309–13320CrossRef
Zurück zum Zitat Zhang WG, Liu YJ, Xu WJ (2012) A possibilistic mean-semivariance-entropy model for multi-period portfolio selection with transaction costs. Eur J Oper Res 222(2):341–349MathSciNetCrossRef Zhang WG, Liu YJ, Xu WJ (2012) A possibilistic mean-semivariance-entropy model for multi-period portfolio selection with transaction costs. Eur J Oper Res 222(2):341–349MathSciNetCrossRef
Zurück zum Zitat Zhang WG, Liu YJ, Xu WJ (2014) A new fuzzy programming approach for multi-period portfolio optimization with return demand and risk control. Fuzzy Sets Syst 246(4):107–126MathSciNetCrossRef Zhang WG, Liu YJ, Xu WJ (2014) A new fuzzy programming approach for multi-period portfolio optimization with return demand and risk control. Fuzzy Sets Syst 246(4):107–126MathSciNetCrossRef
Zurück zum Zitat Zhang WG, Zhang XL, Xiao WL (2009) Portfolio selection under possibilistic mean-variance utility and a SMO algorithm. Eur J Oper Res 197(2):693–700CrossRef Zhang WG, Zhang XL, Xiao WL (2009) Portfolio selection under possibilistic mean-variance utility and a SMO algorithm. Eur J Oper Res 197(2):693–700CrossRef
Zurück zum Zitat Zhang WG, Zhang XL, Xu WJ (2010) A risk tolerance model for portfolio adjusting problem with transaction costs based on possibilistic moments. Insur Math Econ 46(3):493–499MathSciNetCrossRef Zhang WG, Zhang XL, Xu WJ (2010) A risk tolerance model for portfolio adjusting problem with transaction costs based on possibilistic moments. Insur Math Econ 46(3):493–499MathSciNetCrossRef
Zurück zum Zitat Zhou XY, Wang J, Yang XP, Lev B, Tu Y (2018) Portfolio selection under different attitudes in fuzzy environment. Inf Sci 462:278–289MathSciNetCrossRef Zhou XY, Wang J, Yang XP, Lev B, Tu Y (2018) Portfolio selection under different attitudes in fuzzy environment. Inf Sci 462:278–289MathSciNetCrossRef
Metadaten
Titel
A multi-period fuzzy mean-minimax risk portfolio model with investor’s risk attitude
verfasst von
Xingyu Yang
Weilong Liu
Sidou Chen
Yong Zhang
Publikationsdatum
01.10.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 4/2021
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-020-05351-3

Weitere Artikel der Ausgabe 4/2021

Soft Computing 4/2021 Zur Ausgabe

Premium Partner