Variance–optimal hedging for discrete-time processes with independent increments: application to electricity markets

Stephane Goutte, Nadia Oudjane and Francesco Russo

Abstract

ABSTRACT

We consider the discretized version of a (continuous-time) two-factor model introduced by Benth and coauthors for the electricity markets. For this model, the underlying is the exponent of a sum of independent random variables.We provide and test an algorithm based on the celebrated Föllmer Schweizer decomposition for solving the mean-variance hedging problem. In particular, we establish that decomposition explicitly, for a large class of vanilla contingent claims. Particular attention is dedicated to the choice of rebalancing dates and its impact on the hedging error, regarding the payoff regularity and the nonstationarity of the log-price process.