Siegel's Paradox and the Pricing of Currency Options

Details

Serval ID
serval:BIB_7B17FA3B311C
Type
Article: article from journal or magazin.
Collection
Publications
Title
Siegel's Paradox and the Pricing of Currency Options
Journal
Journal of International Money and Finance
Author(s)
Dumas, B., Jennergren, L. P., Naslund, B. 
Publication state
Published
Issued date
1995
Volume
14
Number
2
Pages
213-223
Abstract
It is an important property of a currency option that its value does not depend on whose point of view is taken, that of the domestic or foreign investor. Option values obtained from the Garman-Kohlhagen model do satisfy this property. The Merton jump-diffusion model has been proposed as a more realistic currency option model, to eliminate pricing biases inherent in the Garman-Kohlhagen model. The jump-diffusion model assumes that the jump risk is non-priced, ie, can be diversified away. If both the domestic and foreign investor make that assumption, then the jump-diffusion model produces option values which are different for the two investors, thus violating the law of one price. This is an instance of the Siegel paradox. The extent to which computed option values may differ between the two investors is indicated through numerical examples.
Create date
19/11/2007 11:35
Last modification date
20/08/2019 15:37
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