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Valuating Forward Contracts in the Electricity Market using Partial Integro-differential Equations

<p>e will evaluate forward contracts in the electricity market. A thorough presentation of stochastic analysis for processes with discontinuous paths are provided, and some results concerning these from mathematical finance are stated. Using a Feynman-Kac-type theorem by Pham we derive a partial integro-differential equation giving the forward price from the spot dynamics taken from Geman and Roncoroni. This spot model is regime switching, so we get two equations. These equations are then attempted solved numerically. We suggest the following approach: When implementing boundary-conditions numerically we use values obtained from a Monte Carlo simulation of the spot dynamics to calibrate the boundary.</p>

Identiferoai:union.ndltd.org:UPSALLA/oai:DiVA.org:ntnu-9662
Date January 2007
CreatorsSkogtrø, Bjørn Waage
PublisherNorwegian University of Science and Technology, Department of Mathematical Sciences, Institutt for matematiske fag
Source SetsDiVA Archive at Upsalla University
LanguageEnglish
Detected LanguageEnglish
TypeStudent thesis, text

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