The generalized perpetual American exchange-option problem

Author:

Wong Shek-Keung Tony

Abstract

This paper revisits a general optimal stopping problem that often appears as a special case in some finance applications. The problem is essentially of the same form as the investment-timing problem of McDonald and Siegel (1986) in which the underlying processes are two correlated geometric Brownian motions (GBMs) with drifts less than the discount rate. By contrast, we attempt to analyze the underlying optimal stopping problem to its full generality without imposing any restriction on the drifts of the GBMs. By extending the first passage time approach of Xia and Zhou (2007) to the current context, we manage to obtain a complete and explicit characterization of the solution to the problem on all possible drift domains. Our analysis leads to a new and interesting observation that the underlying optimal stopping problem admits a two-sided optimal continuation region on some certain parameter domains.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Statistics and Probability

Reference9 articles.

1. STOCK LOANS

2. Essentials of Stochastic Finance

3. Stochastic Differential Equations

4. The Value of Waiting to Invest

5. A free boundary problem for the heat equation arising from a problem in mathematical economics;McKean;Industrial Manag. Rev.,1965

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