Hedging is one of the most important topics in finance. When a financial market is complete, every contingent claim can be hedged perfectly to eliminate any potential future obligations. When the financial market is incomplete, the investor may eliminate his risk exposure by superhedging. In...

In this paper, we consider the problem of optimal partial hedging for a contingent claim subject to a preset hedging budget constraint. Under some technical assumptions on the hedged loss function and the market pricing functional, the optimal partial hedging strategy, which minimizes the...