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Pricing of Swing Options in a Mean Reverting Model with Jumps

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Author Info
Mats Kjaer
Abstract

We investigate the pricing of swing options in a model where the logarithm of the spot price is the sum of a deterministic seasonal trend and an Ornstein-Uhlenbeck process driven by a jump diffusion. First we calibrate the model to Nord Pool electricity market data. Second, the existence of an optimal exercise strategy is proved, and we present a numerical algorithm for computation of the swing option prices. It involves dynamic programming and the solution of multiple parabolic partial integro-differential equations by finite differences. Numerical results show that adding jumps to a diffusion may result in 2-35% higher swing option prices, depending on the moneyness and timing flexibility of the option.

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File URL: http://www.informaworld.com/openurl?genre=article&doi=10.1080/13504860802170556&magic=repec&7C&7C8674ECAB8BB840C6AD35DC6213A474B5
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Publisher Info
Article provided by Taylor and Francis Journals in its journal Applied Mathematical Finance.

Volume (Year): 15 (2008)
Issue (Month): 5-6 ()
Pages: 479-502
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Handle: RePEc:taf:apmtfi:v:15:y:2008:i:5-6:p:479-502

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Related research
Keywords: Energy derivatives; swing options; jump diffusions; parabolic PIDEs; finite differences;

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