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Minimization of shortfall risk in a jump-diffusion model

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  • Nakano, Yumiharu

Abstract

In a jump-diffusion model of complete financial markets, we study the problem of minimizing the expectation of hedging loss weighted by power functions. We obtain the optimal portfolio by separating the problem into a hedging problem and an optimization problem.

Suggested Citation

  • Nakano, Yumiharu, 2004. "Minimization of shortfall risk in a jump-diffusion model," Statistics & Probability Letters, Elsevier, vol. 67(1), pages 87-95, March.
    • Handle: RePEc:eee:stapro:v:67:y:2004:i:1:p:87-95
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    References listed on IDEAS

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    1. Yumiharu Nakano, 2003. "Minimizing coherent risk measures of shortfall in discrete-time models with cone constraints," Applied Mathematical Finance, Taylor & Francis Journals, vol. 10(2), pages 163-181.
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    Cited by:

    1. Leonel Perez-hernandez, 2007. "On the existence of an efficient hedge for an American contingent claim within a discrete time market," Quantitative Finance, Taylor & Francis Journals, vol. 7(5), pages 547-551.
    2. Sabrina Mulinacci, 2011. "The efficient hedging problem for American options," Finance and Stochastics, Springer, vol. 15(2), pages 365-397, June.
    3. Alexander Melnikov & Yuliya Romanyuk, 2008. "Efficient Hedging And Pricing Of Equity-Linked Life Insurance Contracts On Several Risky Assets," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 11(03), pages 295-323.

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    Keywords

    Shortfall risk Jump-diffusion model;

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