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| Authors: | M. Mania R. Tevzadze T. Toronjadze |
| Affiliation: | (1) Business School, Georgian–American University, 3, Alleyway II, Chavchavadze Ave. 17, a, Tbilisi, Georgia;(2) A. Razmadze Mathematical Institute, 1, M. Aleksidze St., Tbilisi, Georgia;(3) Institute of Cybernetics, 5, S. Euli St., Tbilisi, Georgia |
| 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 certain type martingale equation 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. This work was supported by Georgian National Science Foundation grant STO07/3-172. |
| Keywords: | Semimartingale Incomplete markets Mean-variance hedging Partial information Backward stochastic differential equation |
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