Local risk-minimization for Levy markets

In this paper, we aim to obtain explicit representations of locally risk-minimizing by using Malliavin calculus for Levy processes. For incomplete market models whose asset price is described by a solution to a stochastic differential equation driven by a Levy process, we derive general formulas of locally risk-minimizing including Malliavin derivatives; and calculate its concrete expressions for call options, Asian options and lookback options.