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A Multidimensional Exponential Utility Indifference Pricing Model with Applications to Counterparty Risk

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 نشر من قبل Gechun Liang
 تاريخ النشر 2011
  مجال البحث مالية
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This paper considers exponential utility indifference pricing for a multidimensional non-traded assets model subject to inter-temporal default risk, and provides a semigroup approximation for the utility indifference price. The key tool is the splitting method, whose convergence is proved based on the Barles-Souganidis monotone scheme, and the convergence rate is derived based on Krylovs shaking the coefficients technique. We apply our methodology to study the counterparty risk of derivatives in incomplete markets.

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