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