This paper analyzes optimal hedging of a tradable risk (e.g. price risk or exchange rate risk) with forward contracts … noise, cross hedging and speculating on the real risk premium are conflicting objectives; the level of relative risk …

We consider the problem of option hedging in a market with proportional transaction costs. Since super-replication is … very costly in such markets, we replace perfect hedging with an expected loss constraint. Asymptotic analysis for small … transaction costs is used to obtain a tractable model. A general expansion theory is developed using the dynamic programming …