Short Communications

A note on the pricing of American options

N. Christopeit

University of Bonn

Abstract: In this paper the optimal stopping problem related to the pricing of perpetual American options in discrete time binomial models is revisited. The value function is calculated for the continuous state space of all real initial values $x>0$ and compared with the solution obtained in the recent literature for a certain discrete state space.

Keywords: American options, optimal stopping.

Received: 27.03.2002

Language: English

DOI: 10.4213/tvp308

 English version: Theory of Probability and its Applications, 2004, 48:1, 131–140

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