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Outperforming A Stochastic Benchmark Under Borrowing And Rectangular Constraints

Author

Listed:
  • Haluk Yener

    (Istanbul Bilgi University)

  • Fuat Can Beylunioglu

    (Istanbul Bilgi University)

Abstract

In this paper, we extend Browne (1999) into the cases of borrowing and rectangular constraints. To address the constraints, we construct an auxiliary market by employing the framework of Cvitanic and Karatzas (1992). Under this framework, we show how problems concerned with survival, growth and goal reaching with respect to a benchmark can be solved by applying the techniques of stochastic optimal control. From the solutions, we see that, while the results under the borrowing constraints may be obtained analytically, the results under the rectangular constraints require a computational procedure. Furthermore, we provide an analysis by using our solutions to see the effect of constraints and changes in key parameters on the optimal results. We also conduct a numerical analysis with three examples to clarify further the effect of the constraints on the investment behaviour of an investor trading in favorable markets.

Suggested Citation

  • Haluk Yener & Fuat Can Beylunioglu, 2017. "Outperforming A Stochastic Benchmark Under Borrowing And Rectangular Constraints," Working Papers 1701, The Center for Financial Studies (CEFIS), Istanbul Bilgi University.
    • Handle: RePEc:bli:wpaper:1701
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    File URL: https://cefis.bilgi.edu.tr/pdf/CEFIS1701.pdf
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Hamilton-Jacobi-Bellman Equations; Stochastic optimal control; Portfolio selection; Borrowing constraints; Rectangular constraints; Benchmark; Auxiliary Market;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

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