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CRITICAL STOCK PRICE NEAR EXPIRATION
Authors:Guy  Barles Julien  Burdeau   Marc  Romano   Nicolas  Samsoen
Affiliation:Laboratoire de Mathématiques et Applications, Facultédes Sciences et Techniques, Universitéde Tours, Tours, France;Déparement de Mathématiques et d'Informatique, Ecole Normale Supérieure, Paris, France, CEREMADE - Universitéde Paris IX Dauphine, Paris, France
Abstract:We study the critical price of an American put option near expiration in the Black-Scholes model. Our main result is an estimate for the difference ( t )- K between the critical price at time t and the exercise price as t approaches the maturity of the option.
Keywords:American put    free boundary    subsolution    supersolution
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