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An expansion in the model space in the context of utility maximization

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  • Kasper Larsen
  • Oleksii Mostovyi
  • Gordan v{Z}itkovi'c

Abstract

In the framework of an incomplete financial market where the stock price dynamics are modeled by a continuous semimartingale (not necessarily Markovian) an explicit second-order expansion formula for the power investor's value function - seen as a function of the underlying market price of risk process - is provided. This allows us to provide first-order approximations of the optimal primal and dual controls. Two specific calibrated numerical examples illustrating the accuracy of the method are also given.

Suggested Citation

  • Kasper Larsen & Oleksii Mostovyi & Gordan v{Z}itkovi'c, 2014. "An expansion in the model space in the context of utility maximization," Papers 1410.0946, arXiv.org, revised Aug 2016.
    • Handle: RePEc:arx:papers:1410.0946
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    References listed on IDEAS

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    Cited by:

    1. Chau, Huy N. & Rásonyi, Miklós, 2018. "On optimal investment with processes of long or negative memory," Stochastic Processes and their Applications, Elsevier, vol. 128(4), pages 1095-1113.
    2. Cl'ement M'enass'e & Peter Tankov, 2015. "Asymptotic indifference pricing in exponential L\'evy models," Papers 1502.03359, arXiv.org, revised Feb 2015.

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