L²-approximating pricing under restricted information

2007/08/30 by M. Mania, Michael Mania, Revaz Tevzadze +5
Economics, Econometrics and Finance · Mathematics · Social Sciences · #Financial Risk and Volatility Modeling #Insurance, Mortality, Demography, Risk Management #Stochastic processes and financial applications #math.PR #msc:60H30 #msc:90A09 #msc:90C39. #q-fin.PR

paper · pdf · doi:10.48550/arxiv.0708.4095

arxiv created 2007/08/30 · arxiv updated 2009/12/01

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.

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