Filtering and Identification of Stochastic Risk Premium for Electricity Spot Price Models

Abstract

Starting from the simple model for the spot price which is set as the jump augmented Vasicek model, we construct a factor model of the electricity futures as the stochastic hyperbolic systems with jumps. Representing the main spike phenomena of the electricity spot price from one observed futures data by proxy, the filtering of factor process and the related stochastic risk premium are formulated in a Gaussian frame work. After serving the likelihood functional, the systems parameter estimation problem is solved.