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Multi‐period portfolio selection with investor views based on scenario tree

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  • Zhao, Daping
  • Bai, Lin
  • Fang, Yong
  • Wang, Shouyang

Abstract

How to measure investor views and apply it in multi-period investment is an important problem in portfolio selection. This paper attempts to construct a portfolio selection model with extreme situations and extend it under the multi-period framework. First, we modify a portfolio selection model to fit the extreme cases of 0% or 100% confidence views, then we establish a new programming problem based on optimization approach and figure out the explicit solutions. Second, we extend the model to multi-period form and discretize the results with scenario tree, which solves the multi-period problems. Third, we build an international portfolio with CVaR risk measurement. The numerical tests show that the new multi-period selection model performs better than the others.

Suggested Citation

  • Zhao, Daping & Bai, Lin & Fang, Yong & Wang, Shouyang, 2022. "Multi‐period portfolio selection with investor views based on scenario tree," Applied Mathematics and Computation, Elsevier, vol. 418(C).
  • Handle: RePEc:eee:apmaco:v:418:y:2022:i:c:s0096300321008961
    DOI: 10.1016/j.amc.2021.126813
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    References listed on IDEAS

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    1. Kim, Woo Chang & Kim, Min Jeong & Kim, Jang Ho & Fabozzi, Frank J., 2014. "Robust portfolios that do not tilt factor exposure," European Journal of Operational Research, Elsevier, vol. 234(2), pages 411-421.
    2. David B. Brown & James E. Smith, 2011. "Dynamic Portfolio Optimization with Transaction Costs: Heuristics and Dual Bounds," Management Science, INFORMS, vol. 57(10), pages 1752-1770, October.
    3. S Satchell & A Scowcroft, 2000. "A demystification of the Black–Litterman model: Managing quantitative and traditional portfolio construction," Journal of Asset Management, Palgrave Macmillan, vol. 1(2), pages 138-150, September.
    4. Steven Beach & Alexei Orlov, 2007. "An application of the Black–Litterman model with EGARCH-M-derived views for international portfolio management," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 21(2), pages 147-166, June.
    5. Ledoit, Olivier & Wolf, Michael, 2003. "Improved estimation of the covariance matrix of stock returns with an application to portfolio selection," Journal of Empirical Finance, Elsevier, vol. 10(5), pages 603-621, December.
    6. Michal Kaut & Hercules Vladimirou & Stein W. Wallace & Stavros A. Zenios, 2007. "Stability analysis of portfolio management with conditional value-at-risk," Quantitative Finance, Taylor & Francis Journals, vol. 7(4), pages 397-409.
    7. Fang, Yong & Lai, K.K. & Wang, Shou-Yang, 2006. "Portfolio rebalancing model with transaction costs based on fuzzy decision theory," European Journal of Operational Research, Elsevier, vol. 175(2), pages 879-893, December.
    8. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    9. Kolm, Petter N. & Tütüncü, Reha & Fabozzi, Frank J., 2014. "60 Years of portfolio optimization: Practical challenges and current trends," European Journal of Operational Research, Elsevier, vol. 234(2), pages 356-371.
    10. Topaloglou, Nikolas & Vladimirou, Hercules & Zenios, Stavros A., 2002. "CVaR models with selective hedging for international asset allocation," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1535-1561, July.
    11. Kjetil Høyland & Stein W. Wallace, 2001. "Generating Scenario Trees for Multistage Decision Problems," Management Science, INFORMS, vol. 47(2), pages 295-307, February.
    12. Omid Momen & Akbar Esfahanipour & Abbas Seifi, 2020. "A robust behavioral portfolio selection: model with investor attitudes and biases," Operational Research, Springer, vol. 20(1), pages 427-446, March.
    13. Satchell, Stephen, 2007. "Forecasting Expected Returns in the Financial Markets," Elsevier Monographs, Elsevier, edition 1, number 9780750683210.
    14. Gregory, Christine & Darby-Dowman, Ken & Mitra, Gautam, 2011. "Robust optimization and portfolio selection: The cost of robustness," European Journal of Operational Research, Elsevier, vol. 212(2), pages 417-428, July.
    15. Jitka Dupačová & Giorgio Consigli & Stein Wallace, 2000. "Scenarios for Multistage Stochastic Programs," Annals of Operations Research, Springer, vol. 100(1), pages 25-53, December.
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