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Rev Fin 1990; 3:547-572
© 1990 the Society for Financial Studies
Article |
The analytic valuation of American options
Department of Finance, Leonard N. Stern School of Business, New York University, 90 Trinity Place, New York, NY 10006, USA
Abstract
No analytic solution exists for the valuation of American options written on futures contracts and foreign currencies for which early exercise may be optimal. This article formulates the American option valuation problem in economically and mathematically meaningful ways. This enables us to derive valuation formulas for American options. The properties associated with the optimal exercise boundary are examined, and a numerical technique to implement the valuation formulas is presented.