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Recovering a time-homogeneous stock price process from perpetual option prices

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Ekström, Erik and Hobson, David (David G.). (2011) Recovering a time-homogeneous stock price process from perpetual option prices. The Annals of Applied Probability, Vol.21 (No.3). pp. 1102-1135. ISSN 1050-5164

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Official URL: http://dx.doi.org/10.1214/10-AAP720

Abstract

It is well known how to determine the price of perpetual American options if the underlying stock price is a time-homogeneous diffusion. In the present paper we consider the inverse problem, that is, given prices of perpetual American options for different strikes, we show how to construct a time-homogeneous stock price model which reproduces the given option prices

Item Type: Journal Article
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: The Annals of Applied Probability
Publisher: Institute of Mathematical Statistics
ISSN: 1050-5164
Date: 2011
Volume: Vol.21
Number: No.3
Page Range: pp. 1102-1135
Identification Number: 10.1214/10-AAP720
Status: Peer Reviewed
Publication Status: Published
URI: http://wrap.warwick.ac.uk/id/eprint/40002

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