$L^2$-approximating pricing under restricted information

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We consider the mean-variance hedging problem under partial information in the case where the flow of observable events does not contain the full information on the underlying asset price process. We introduce a martingale equation of a new type and characterize the optimal strategy in terms of the solution of this equation. We give relations between this equation and backward stochastic differential equations for the value process of the problem.

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Pricing of Securities, Probability, 90A09; 60H30; 90C39.

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http://salesiana.dossiersoluciones.com/handle/123456789/208361

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.4095
 http://arxiv.org/abs/0708.4095

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arXiv