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A Continuous Time Model to Price Commodity-Based Swing Options

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Author Info
M. Dahlgren ()
Abstract

On the commodity market there exist contracts which give the holder multiple opportunities to adjust delivery of the underlying commodity. These contracts are often named “Swing” or “take-or-pay” options. They are especially common on the electricity market. In this paper the price of a Swing option on commodities is investigated under the additional constraint of a recovery time between two different exercise times. We give an explicit characterization of the price function as the value function of a continuous stochastic impulse control problem and prove existence of an optimal control. We investigate the connection between the price function and the solution of a system of quasi-variational inequalities. Finally, we present a numerical algorithm for solving the quasi-variational inequalities, and give some numerical examples. Copyright Springer Science + Business Media, Inc. 2005

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File URL: http://hdl.handle.net/10.1007/s11147-005-1006-9
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Publisher Info
Article provided by Springer in its journal Review of Derivatives Research.

Volume (Year): 8 (2005)
Issue (Month): 1 (June)
Pages: 27-47
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:kap:revdev:v:8:y:2005:i:1:p:27-47

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Web page: http://www.springerlink.com/link.asp?id=102989

For technical questions regarding this item, or to correct its listing, contact: (Christopher F. Baum).

Related research
Keywords: optimal stopping problem; HJB quasi-variational inequalities; option pricing; commodity;

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