March 2012 The smooth-fit property in an exponential Lévy model
Damien Lamberton, Mohammed Mikou
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J. Appl. Probab. 49(1): 137-149 (March 2012). DOI: 10.1239/jap/1331216838

Abstract

We study the smooth-fit property of the American put price with finite maturity in an exponential Lévy model when the underlying stock pays dividends at a continuous rate. As in the perpetual case, a regularity property is sufficient for smooth fit to occur. We also derive conditions on the Lévy measure under which smooth fit fails.

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Damien Lamberton. Mohammed Mikou. "The smooth-fit property in an exponential Lévy model." J. Appl. Probab. 49 (1) 137 - 149, March 2012. https://doi.org/10.1239/jap/1331216838

Information

Published: March 2012
First available in Project Euclid: 8 March 2012

zbMATH: 1236.91134
MathSciNet: MR2952886
Digital Object Identifier: 10.1239/jap/1331216838

Subjects:
Primary: 60G40 , 60G51 , 91G20
Secondary: 60J75

Keywords: American option , Lévy process , Optimal stopping , smooth-fit property

Rights: Copyright © 2012 Applied Probability Trust

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Vol.49 • No. 1 • March 2012
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