**Êtes-vous un étudiant de l'EPFL à la recherche d'un projet de semestre?**

Travaillez avec nous sur des projets en science des données et en visualisation, et déployez votre projet sous forme d'application sur GraphSearch.

Publication# Efficient Pricing of Energy Derivatives

Résumé

I present a tractable framework, first developed in Trolle and Schwartz (2009), for pricing energy derivatives in the presence of unspanned stochastic volatility. Among the model features are i) a perfect fit to the initial futures term structure, ii) a fast and accurate Fourier-based pricing formula for European-style options on futures contracts, enabling efficient calibration to liquid plain-vanilla exchange-traded derivatives, and iii) the evolution of the futures curve being described in terms of a low-dimensional affine state vector, making the model ideally suited for pricing complex energy derivatives and real options by simulation. I also consider an extension of the framework that takes jumps in spot prices into account.

Official source

Cette page est générée automatiquement et peut contenir des informations qui ne sont pas correctes, complètes, à jour ou pertinentes par rapport à votre recherche. Il en va de même pour toutes les autres pages de ce site. Veillez à vérifier les informations auprès des sources officielles de l'EPFL.

Concepts associés

Chargement

Publications associées

Chargement

Concepts associés (11)

Contrat à terme

Un contrat à terme (en anglais : futures) est un engagement ferme de livraison d'un actif sous-jacent à une date future (appelée échéance ou maturité) à des conditions définies à l'avance. Contrairem

Analyse par les options réelles

L'analyse par les options réelles (AOR) est un outil financier d'aide à la décision en matière d'investissement, directement inspiré des techniques d’options financières (« call » ou « put »). L’optio

Spot contract

In finance, a spot contract, spot transaction, or simply spot, is a contract of buying or selling a commodity, security or currency for immediate settlement (payment and delivery) on the spot date,

Publications associées (3)

Chargement

Chargement

Chargement

In the first chapter,which is a joint work with Mathieu Cambou and Philippe H.A. Charmoy, we study the distribution of the hedging errors of a European call option for the delta and variance-minimizing strategies. Considering the setting proposed by Heston (1993), we assess the error distribution by computing its moments under the real-world probability measure. It turns out that one is better off implementing either a delta hedging or a variance-minimizing strategy, depending on the strike and maturity of the option under consideration. In the second paper, which is a joint work with Damir Filipovic and Loriano Mancini, we develop a practicable continuous-time dynamic arbitrage-free model for the pricing of European contingent claims. Using the framework introduced by Carmona and Nadtochiy (2011, 2012), the stock price is modeled as a semi-martingale process and, at each time t , the marginal distribution of the European option prices is coded by an auxiliary process that starts at t and follows an exponential additive process. The jump intensity that characterizes these auxiliary processes is then set in motion by means of stochastic dynamics of Itô's type. The model is a modification of the one proposed by Carmona and Nadtochiy, as only finitely many jump sizes are assumed. This crucial assumption implies that the jump intensities are taken values in only a finitedimensional space. In this setup, explicit necessary and sufficient consistency conditions that guarantee the absence of arbitrage are provided. A practicable dynamic model verifying them is proposed and estimated, using options on the S&P 500. Finally, the hedging of variance swap contracts is considered. It is shown that under certain conditions, a variance-minimizing hedging portfolio gives lower hedging errors on average, compared to a model-free hedging strategy. In the third and last chapter, which is a joint work with Rémy Praz, we concentrate on the commodity markets and try to understand the impact of financiers on the hedging decisions. We look at the changes in the spot price, variance, production and hedging choices of both producers and financiers, when the mass of financiers in the economy increases. We develop an equilibrium model of commodity spot and futures markets in which commodity production, consumption, and speculation are endogenously determined. Financiers facilitate hedging by the commodity suppliers. The entry of new financiers thus increases the supply of the commodity and decreases the expected spot prices, to the benefits of the end-users. However, this entry may be detrimental to the producers, as they do not internalize the price reduction due to greater aggregate supply. In the presence of asymmetric information, speculation on the futures market serves as a learning device. The futures price and open interest reveal different pieces of private information regarding the supply and demand side of the spot market, respectively. When the accuracy of private information is low, the entry of new financiers makes both production and spot prices more volatile. The entry of new financiers typically increases the correlation between financial and commodity markets.

Commodity derivatives are becoming an increasingly important part of the global derivatives market. Here we develop a tractable stochastic volatility model for pricing commodity derivatives. The model features unspanned stochastic volatility, quasi-analytical prices of options on futures contracts, and dynamics of the futures curve in terms of a low-dimensional affine state vector. We estimate the model on NYMEX crude oil derivatives using an extensive panel data set of 45,517 futures prices and 233,104 option prices, spanning 4082 business days.We find strong evidence for two predominantly unspanned volatility factors.

We develop a model for pricing expropriation risk in natural resource projects, in particular an oil field. The government is viewed as holding an American-style option to expropriate the oil field, but facing the following three possible expropriation costs: A state-run company may produce oil less cost-efficiently than a private firm,the government may have to pay a compensation to the firm, and an expropriation may trigger lower investor confidence negatively affecting the overall economy. The dynamics of key variables – the spot price, futures prices and volatility – is described by a model proposed and estimated in Trolle and Schwartz (2007). For reasonable parameter values and under market conditions not too different from what has been seen in recent years, the value of the expropriation option can be substantial