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Elasticity approach to portfolio optimization

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  • Holger Kraft

Abstract

We study investment problems in a continuous-time setting and conclude that the proper control variables are elasticities to the traded assets or, in the case of stochastic interest rates, (factor) durations. This formulation of a portfolio problem allows us to solve the problems in a kind of two-step procedure: First, by calculating the optimal elasticities and durations we determine the optimal wealth process and then we compute a portfolio process which tracks these elasticities and durations. Our findings are not only interesting in itself, but the approach also proves useful in many varied applications including portfolios with (path-dependent) options. An important application can be the solution of portfolio problems with defaultable bonds modelled by a firm value approach. Copyright Springer-Verlag 2003

Suggested Citation

  • Holger Kraft, 2003. "Elasticity approach to portfolio optimization," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 58(1), pages 159-182, September.
    • Handle: RePEc:spr:mathme:v:58:y:2003:i:1:p:159-182
    DOI: 10.1007/s001860300296
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    Citations

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    Cited by:

    1. Marcos Escobar-Anel & Matt Davison & Yichen Zhu, 2022. "Derivatives-based portfolio decisions: an expected utility insight," Annals of Finance, Springer, vol. 18(2), pages 217-246, June.
    2. Fu, Jun & Wei, Jiaqin & Yang, Hailiang, 2014. "Portfolio optimization in a regime-switching market with derivatives," European Journal of Operational Research, Elsevier, vol. 233(1), pages 184-192.
    3. Holger Kraft & Mogens Steffensen, 2006. "Portfolio problems stopping at first hitting time with application to default risk," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 63(1), pages 123-150, February.
    4. de-Paz, Albert & Marín-Solano, Jesús & Navas, Jorge & Roch, Oriol, 2014. "Consumption, investment and life insurance strategies with heterogeneous discounting," Insurance: Mathematics and Economics, Elsevier, vol. 54(C), pages 66-75.
    5. Peter Reichling & Anastasiia Zbandut, 2017. "Costs of capital under credit risk," FEMM Working Papers 170003, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.

    More about this item

    Keywords

    Optimal portfolios; Elasticity; Derivatives; Stochastic interest rates; Duration; G11; 93E20;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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