$L^2$-approximating pricing under restricted information

Economy – Quantitative Finance – Pricing of Securities

Scientific paper

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Scientific paper

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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