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Avtomatika i Telemekhanika, 2016, Issue 6, Pages 121–144
(Mi at14489)
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This article is cited in 3 scientific papers (total in 3 papers)
Control in Social Economic Systems, Medicine, and Biology
Extremal measures and hedging in American options
V. M. Khametova, E. A. Shelemekhb a Moscow Institute of Electronics and Mathematics, National Research University Higher School of Economics, Moscow, Russia
b Central Economics and Mathematics Institute, Russian Academy of Sciences, Moscow, Russia
Abstract:
We establish existence conditions for extremal probability measures, study their properties, and consider applications of such measures for solving the perfect hedging problem for American options on incomplete “frictionless” markets with finite horizon. We develop an algorithm for computing an American option and solve a corresponding new example with this algorithm.
Citation:
V. M. Khametov, E. A. Shelemekh, “Extremal measures and hedging in American options”, Avtomat. i Telemekh., 2016, no. 6, 121–144; Autom. Remote Control, 77:6 (2016), 1041–1059
Linking options:
https://www.mathnet.ru/eng/at14489 https://www.mathnet.ru/eng/at/y2016/i6/p121
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