In this article we derive risk-neutral option price formulas for both plain-vanilla and exotic electricity futures derivatives on the basis of diverse arithmetic multi-factor Ornstein-Uhlenbeck spot price models admitting seasonality, while – in order to avoid “information...

We investigate the pricing of temperature derivatives under weather forecasts modeled by enlarged filtrations. We also treat option pricing and optimal portfolio selection in temperature markets with future information. We finally prove an anticipative sufficient stochastic minimum principle and...

We propose a mean-reverting electricity spot price model of arithmetic jump-diffusion type yielding positive prices. Based on this approach, we derive the corresponding forward and futures price representations. We further discuss different choices for the stochastic mean level process and...

We propose a pure jump precipitation model embedded in an enlarged filtration framework accounting for weather forecasts. Under different anticipative approaches, we define precipitation swap/futures prices and also introduce the notion of an ‘information premium'. In contrast to other models...

In this paper, we derive optimal hedging strategies for options in electricity futures markets. Optimality is measured in terms of minimal variance and the associated minimal variance hedging portfolios are obtained by a stochastic maximum principle. Our explicit results are particularly useful...

Compound options are options for which the underlying is another option. In other words, a compound option is an option written on an option. In this paper, we present two new approaches to compound option pricing. The first approach relies on Malliavin calculus methods and the Clark-Ocone...

We derive risk-neutral option price formulas for plain-vanilla and exotic electricity futures derivatives on the basis of diverse arithmetic multi-factor Ornstein-Uhlenbeck spot price models admitting seasonality. In these setups, we take additional forward-looking knowledge on future price...

We derive risk-neutral option price formulas for plain-vanilla temperature futures derivatives on the basis of several multi-factor Ornstein-Uhlenbeck temperature models which allow for seasonality in the mean level and volatility. Our main innovation consists in an incorporation of omnipresent...

We extend the arithmetic multi-factor electricity spot price model proposed by Benth, Kallsen & Meyer-Brandis by adding stochastic mean-level processes to their model and by taking additional information on the future behavior of these mean-level processes into account. The available...

In this paper, we present a new precipitation model based on a multi-factor Ornstein-Uhlenbeck approach of pure-jump type. In this setup, we derive a representation for the related precipitation swap price process and infer its risk-neutral time dynamics. We further deduce a pricing formula for...