Looking at the valuation of a swap when funding costs and counterparty risk are neglected (i.e., when there is a unique risk free discounting curve), it is natural to ask "What is the discounting curve of a swap in the presence of funding costs, counterparty risk and/or collateralization". In...

Looking at the valuation of a swap when funding costs and counterparty risk are neglected (i.e., when there is a unique risk free discounting curve), it is natural to ask "What is the discounting curve of a swap in the presence of funding costs, counterparty risk and/or collateralization". In...

We employ a large dataset of physical inventory data on 21 different commodities for the period 1993-2011 to empirically analyze the behaviour of commodity prices and their volatility as predicted by the theory of storage. We examine two main issues. First, we explore the relationship between...

In this paper we develop a multi-factor model for the joint dynamics of related commodity spot prices in continuous time. We contribute to the existing literature by simultaneously considering various commodity markets in a single, consistent model. In an application we show the economic...

This paper investigates price jumps in commodity markets. We find that jumps are rare and extreme events but occur less frequently than in stock markets. Nonetheless, jump correlations across commodities can be high depending on the commodity sectors. Energy, metal and grains commodities show...

We employ a large dataset of physical inventory data on 21 different commodities for the period 1993-2011 to empirically analyze the behaviour of commodity prices and their volatility as predicted by the theory of storage. We examine two main issues. First, we explore the relationship between...

Price movements in many commodity markets exhibit significant seasonal patterns. In this paper, we study the effects of seasonal volatility on models’ option pricing performance. In terms of options pricing, a deterministic seasonal component at the price level can be neglected. In contrast,...

Many commodity markets contain a strong seasonal component in volatility. In this paper, the importance of this seasonal behavior for the pricing of commodity options is analyzed. We propose a stochastic volatility model where the drift term of the variance process captures the observed seasonal...

The price of a European option can be computed as the expected value of the payoff function under the risk-neutral measure. For American options and path-dependent options in general, this principle can not be applied. In this paper, we derive a model-free analytical formula for the implied...

In this paper, we provide new evidence on the determinants of EU emission allowance prices by analyzing the most recent time period, i.e. phases III and IV. We consider energy (oil, natural gas, coal) and electricity prices as well as profit spreads of marginal power generation (clean dark...