A Bound on the Value of a Two-Sided Margrabe American Option with Finite Expiration


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Abstract

An upper bound on the value of a two-sided Margrabe option is obtained from the approximation of the immediate exercise set by polygonal sets using an integral formula. A lower bound is obtained by the Monte Carlo method using the decision rule that follows from this approximation.

About the authors

V. V. Morozov

Faculty of Computational Mathematics and Cybernetics, Moscow State University

Author for correspondence.
Email: vmorosov@mail.ru
Russian Federation, Moscow

K. V. Khizhnyak

Faculty of Computational Mathematics and Cybernetics, Moscow State University

Email: vmorosov@mail.ru
Russian Federation, Moscow

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