This study extends the literature on the relation between trading activity and volatility by looking at a new asset class in the form of VIX futures, and by decomposing each side of the relation into two components. The results confirm several findings documented in prior studies: The number of...

This study investigates volatility spillovers to electric power from large exogenous shocks in the prices of gas, coal, and carbon emission allowances in the German energy market. Our sample ranges from 2008 to 2016 and covers periods of different market conditions. We use a general VAR-BEKK...

In this paper we study the pricing of commodity swaptions in a Heath-Jarrow-Morton framework based on stochastic spot prices, interest rates and convenience yields. We develop a complementary framework for deriving approximations of swaption prices. In the class of Gaussian models the method...

In this paper we derive closed form approximations of European option prices in different versions of the SABR model of Hagan et al. (2002). Our approach is based on perturbing the model dynamics and approximations of call prices are obtained from a second order Taylor expansion. The method is...

This paper suggests a stochastic volatility term-structure model applied to the pricing of electricity swaptions in the Nordic power market traded at the Nasdaq OMX Commodities exchange. The volatility structure in the model is specified as a product of a time-dependent function that handles the...

In this paper we examine the empirical performance of affine jump diffusion models with stochastic volatility in a time series study of crude oil prices. We compare four different models and estimate them using the Markov Chain Monte Carlo method. The support for a stochastic volatility model...

We explore the implications for asset prices and implied volatilities in an equilibrium model of commodity production. Production of the commodity can be carried out in one of two regimes. In the first regime the reserves are set in constant decline while in the second regime new additions to...