Optimal Hedging Strategies with an Application to Hedge Fund Replication

The derivation of the bi-variate Payoff Distribution model by Kat and Palaro (2005) represents an interesting contribution to the performance evaluation and asset pricing literature. Nonetheless, their approach for evaluating the function is significantly flawed. Recently, Papageorgiou et al. (2007) have proposed a much more robust approach to modeling the marginal distributions and copula functions, and also extend the results of Schweizer (1995) to evaluate the model and derive an optimal dynamic trading (hedging) strategy. In this paper, we will discuss the technical challenges of implementing a multi-variate extension of Dybvig (1988) model and discuss the possible solutions