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Worst-Case Approach To Strategic Optimal Portfolio Selection Under Transaction Costs And Trading Limits

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  • Nikolay A. Andreev

    (National Research University Higher School of Economics)

Abstract

We study a worst-case scenario approach to the stochastic dynamic programming problem, presenting a general probability-based framework and some properties of the arising Bellman-Isaacs equation which allow to obtain a closed-form analytic solution. We also adapt the results for a discrete financial market and the problem of strategic portfolio selection in the presence of transaction costs and trading limits with unspecified stochastic process of market parameters. Unlike the classic stochastic programming, the approach is model-free while the solution can be easily found numerically under economically reasonable assumptions. All results hold for a general class of utility functions and several risky assets. For a special case of proportional transaction costs and CRRA utility, we present a numerical scheme which allows to reduce the dimensionality of the Bellman-Isaacs equation by a number of risky assets. The results of the research have been revised and published in Andreev, N. (2019). Robust portfolio optimization in an illiquid market in discrete-time. Mathematics, 7(12), 1147

Suggested Citation

  • Nikolay A. Andreev, 2015. "Worst-Case Approach To Strategic Optimal Portfolio Selection Under Transaction Costs And Trading Limits," HSE Working papers WP BRP 45/FE/2015, National Research University Higher School of Economics.
    • Handle: RePEc:hig:wpaper:45/fe/2015
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    Cited by:

    1. Nikolay A Andreev, 2017. "Boundedness of the Value Function of the Worst-Case Portfolio Selection Problem with Linear Constraints," HSE Working papers WP BRP 59/FE/2017, National Research University Higher School of Economics.

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    More about this item

    Keywords

    portfolio selection; bellman equation; stochastic dynamic programming; transaction costs; worst-case scenario;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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