$L^2$-approximating pricing under restricted information
Pricing of Securities
2008-12-02 v1 Probability
Abstract
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.
Keywords
Cite
@article{arxiv.0708.4095,
title = {$L^2$-approximating pricing under restricted information},
author = {M. Mania and R. Tevzadze and T. Toronjadze},
journal= {arXiv preprint arXiv:0708.4095},
year = {2008}
}