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Quantile hedging for an insider

Klusik P., Palmowski Z., Zwierz J.

Probability and Mathematical Statistics

2010

Vol. 30, Fasc. 2

247--258

In this paper we consider the problem of the quantile hedging from the point of view of a better informed agent acting on the market. The additional knowledge of the agent is modelled by a filtration initially enlarged by some random variable. By using equivalent martingale measures introduced in [1] and [2] we solve the problem for the complete case, by extending the results obtained in [4] to the insider context. Finally, we consider the examples with the explicit calculations within the standard Black–Scholes model.