Optimal exercise boundary for an American put option

Rachel Kuske and Joseph Keller

Applied Mathematical Finance, 1998, vol. 5, issue 2, 107-116

Abstract: The optimal exercise boundary near the expiration time is determined for an American put option. It is obtained by using Green's theorem to convert the boundary value problem for the price of the option into an integral equation for the optimal exercise boundary. This integral equation is solved asymptotically for small values of the time to expiration. The leading term in the asymptotic solution is the result of Barles et al. An asymptotic solution for the option price is obtained also.

Keywords: Put Option; Exercise Boundary; American Option; Free Boundary, (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (15)

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DOI: 10.1080/135048698334673

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