%0 Journal Article %T Variance Optimal Hedging for continuous time processes with independent increments and applications %A St¨¦phane Goutte %A Nadia Oudjane %A Francesco Russo %J Mathematics %D 2009 %I arXiv %X For a large class of vanilla contingent claims, we establish an explicit F\"ollmer-Schweizer decomposition when the underlying is a process with independent increments (PII) and an exponential of a PII process. This allows to provide an efficient algorithm for solving the mean variance hedging problem. Applications to models derived from the electricity market are performed. %U http://arxiv.org/abs/0912.0372v1