Theory of Probability and Mathematical Statistics

Author(s): H. Jönsson; A. G. Kukush; D. S. Silvestrov
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, vipusk 72 (2005).
Journal: Theor. Probability and Math. Statist. No. 72 (2006), 47-58.
MSC (2000): Primary 91B28, 62P05; Secondary 60J25, 60J20
Posted: August 10, 2006
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Abstract: The paper presents results of theoretical studies of optimal stopping domains of American type options in discrete time. Sufficient conditions on the payoff functions and the price process for the optimal stopping domains to have one-threshold structure are given. We consider monotone, convex and inhomogeneous-in-time payoff functions. The underlying asset's price is modelled by an inhomogeneous discrete time Markov process.

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Retrieve articles in Theory of Probability and Mathematical Statistics with MSC (2000): 91B28, 62P05, 60J25, 60J20

H. Jönsson
Affiliation: Mälardalen University, Box 883, SE-721 23 Västerås, Sweden
Email: henrik.jonsson@mdh.se

A. G. Kukush
Affiliation: Kyiv University, 01033 Kyiv, Ukraine
Email: alexander_kukush@univ.kiev.ua

D. S. Silvestrov
Affiliation: Mälardalen University, Box 883, SE-721 23 Västerås, Sweden
Email: dmitrii.silvestrov@mdh.se

DOI: 10.1090/S0094-9000-06-00663-6
PII: S 0094-9000(06)00663-6
Keywords: Markov process, discrete time, American type option, convex payoff function, optimal stopping
Received by editor(s): 24/MAY/2004
Posted: August 10, 2006
Additional Notes: Supported in part by the Visby programme (funded by the Swedish Institute), and by grants from the Knowledge Foundation and the Royal Swedish Academy of Science.
Copyright of article: Copyright 2006, American Mathematical Society

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ISSN: 1547-7363(e) 0094-9000(p)

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