We propose an approach to estimate and explain the risk premium in carbon and energy futures markets. First, we develop a parsimonious and robust state space model that allows for a time-varying risk premium and apply it to CO2, oil, and gas futures prices. We find that the risk premia are...

This paper proposes an extended version of the analytical structural model for the electricity market developed in a previous paper. The presented electricity price process is driven by stochastic load and random plant availability as well as stochastic marginal generation cost factors embedded...

In this paper we introduce a new two-factor commodity term structure model for which inventories serve as a second state variable. We derive a closed-form formula for futures prices and empirically analyze the model's properties. Besides being economically appealing, our model also outperforms...

This paper investigates model dynamics and risk premia in the short term market for crude oil futures. Stochastic volatility models, with and without jumps, are estimated using data on both futures and option prices. As an economic application we apply the estimated models to the pricing of...

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 study examines the dynamic economic relationships between the fundamental variables that influence natural gas prices within the U.S. market. We utilize a structural vector autoregressive (VAR) and Markov switching models to investigate the impact and stability of regime switches between...

​We develop and estimate a multifactor affine model of commodity futures that allows for stochastic variations in seasonality. We show conditions under which the yield curve and the cost-of-carry curve adopt augmented Nelson and Siegel functional forms. This restricted version of the model is...

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...

To assess the economic determinants of oil futures volatility, we firstly develop and estimate a multi-factor oil futures pricing model with stochastic volatility that is able to disentangle long-term, medium-term and short-term variations in commodity markets volatility. The volatility...