Please use this identifier to cite or link to this item: http://hdl.handle.net/10419/40309
Year of Publication: 
2009
Series/Report no.: 
Tübinger Diskussionsbeiträge No. 320
Publisher: 
Eberhard Karls Universität Tübingen, Wirtschaftswissenschaftliche Fakultät, Tübingen
Abstract: 
We extend a framework based on Mellin transforms and show how to modify the approach to value American call options on dividend paying stocks. We present a new integral equation to determine the price of an American call option and its free boundary using modi ed Mellin transforms. We also show how to derive the pricing formula for perpetual American call options using the new framework. A recovery of a result due to Kim (1990) regarding the optimal exercise price at expiry is also presented. Finally, we apply Gauss-Laguerre quadrature for the purpose of an efficient and accurate numerical valuation.
Subjects: 
Modified Mellin transform
American call option
Integral representation
JEL: 
G13
Persistent Identifier of the first edition: 
Document Type: 
Working Paper

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