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Risk-based decisions on assets structure of a bank — partially observed economic conditions

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  • Hałaj, Grzegorz

Abstract

A model of bank’s dynamic asset management problem in case of partially observed future economic conditions and requirements concerning level of risk taken has been built. It requires solving the resulting optimal control with random terminal condition resulting from partial observation of parameter of maximized functional. Stochastic Maximum Principle reduces the problem to solving FBSDE. As optimization may usually imply dependence of forward equation on solutions of backward equation we allow the drift and diffusion of forward part to be functions of solution of backward equation. The necessary conditions for existence of solutions of FBSDE in such a form have been derived. A numerical scheme is then implemented for a particular choice of parameters of the problem.

Suggested Citation

  • Hałaj, Grzegorz, 2006. "Risk-based decisions on assets structure of a bank — partially observed economic conditions," MPRA Paper 523, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:523
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    References listed on IDEAS

    as
    1. Ľuboš Pástor & Veronesi Pietro, 2003. "Stock Valuation and Learning about Profitability," Journal of Finance, American Finance Association, vol. 58(5), pages 1749-1789, October.
    2. Unknown, 2005. "Forward," 2005 Conference: Slovenia in the EU - Challenges for Agriculture, Food Science and Rural Affairs, November 10-11, 2005, Moravske Toplice, Slovenia 183804, Slovenian Association of Agricultural Economists (DAES).
    3. Susanne Emmer & Claudia Klüppelberg & Ralf Korn, 2001. "Optimal Portfolios with Bounded Capital at Risk," Mathematical Finance, Wiley Blackwell, vol. 11(4), pages 365-384, October.
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    More about this item

    Keywords

    Portfolio optimization; bank’s assets; partial observation; stochastic maximum principle; + FBSDEs;
    All these keywords.

    JEL classification:

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

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