We apply utility indifference pricing to solve a contingent claim problem, valuing a connected pair of gas fields where the underlying process is not standard Geometric Brownian motion and the assumption of complete markets is not fulfilled. First, empirical data are often characterized by...

We study the hedging problem for European-style options written on crude-oil futures. Locally risk-minimizing hedging strategies are derived under the assumption that the dynamics of crude-oil futures are described by a Merton-type jump-diffusion. These are then tested empirically using...

Electricity markets feature a non-storable underlying, which implies the break down of traditional cash-and-carry arguments as well as the well-known spot-forward relationship. We introduce the notion of information premium to describe the influence of future information - such as planned power...

This paper introduces a novel method for pricing commodity index derivatives consistently with market prices of derivatives on single commodities. We discuss the Black, mean-reversion and local volatility pricing models with special attention paid to the parameterization of volatility surfaces....

This paper analyzes the valuation of day-ahead Physical Transmission Rights (PTRs) on the German-Dutch interconnector. From a financial perspective, PTRs are options written on the difference between the German and Dutch hourly electricity prices. We propose a model for the valuation of...

This paper analyzes the valuation of monthly Physical Transmission Rights (PTRs) on the German-Dutch interconnector. From a financial perspective, PTRs are exchange options written on the German and Dutch day-ahead electricity price. We extend the famous exchange option model by Margrabe (1978)...

In this paper, we investigate the pricing of crack spread options. The special focus is laid on the question, of whether univariate modeling of the crack spread or explicit modeling of the two underlyings is preferable. Therefore, we contrast the bivariate GARCH volatility model for...

We find empirical evidence that mean-reverting jump processes are not statistically adequate to model electricity spot price spikes but independent, signed sums of such processes are statistically adequate. Further we demonstrate a change in the composition of these sums after a major economic...

Aiming to study pricing of long-dated commodity derivatives, this paper presents a class of models within the Heath, Jarrow, and Morton (1992) framework for commodity futures prices that incorporates stochastic volatility and stochastic interest rate and allows a correlation structure between...