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Optimal Robust Mean-Variance Hedging in Incomplete Financial Markets

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  • N. Lazrieva
  • T. Toronjadze

Abstract

Optimal B-robust estimate is constructed for multidimensional parameter in drift coefficient of diffusion type process with small noise. Optimal mean-variance robust (optimal V -robust) trading strategy is find to hedge in mean-variance sense the contingent claim in incomplete financial market with arbitrary information structure and misspecified volatility of asset price, which is modelled by multidimensional continuous semimartingale. Obtained results are applied to stochastic volatility model, where the model of latent volatility process contains unknown multidimensional parameter in drift coefficient and small parameter in diffusion term.

Suggested Citation

  • N. Lazrieva & T. Toronjadze, 2008. "Optimal Robust Mean-Variance Hedging in Incomplete Financial Markets," Papers 0805.0122, arXiv.org.
  • Handle: RePEc:arx:papers:0805.0122
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    File URL: http://arxiv.org/pdf/0805.0122
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    References listed on IDEAS

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    1. Sergio Pastorello, 1996. "Diffusion Coefficient Estimation And Asset Pricing When Risk Premia And Sensitivities Are Time Varying: A Comment," Mathematical Finance, Wiley Blackwell, vol. 6(1), pages 111-117, January.
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    Cited by:

    1. Revaz Tevzadze & Teimuraz Toronjadze & Tamaz Uzunashvili, 2013. "Robust utility maximization for a diffusion market model with misspecified coefficients," Finance and Stochastics, Springer, vol. 17(3), pages 535-563, July.
    2. S. Cawston & L. Vostrikova, 2010. "$F$-divergence minimal equivalent martingale measures and optimal portfolios for exponential Levy models with a change-point," Papers 1004.3525, arXiv.org, revised Jun 2011.

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