Abstract
The problem of choosing a stopping time t to maximize E[X(t)e-rt] where X(t) is a real valued stochastic process is analyzed in [1]. Motivation for this problem comes from economics. Briefly, X(t) is the intrinsic value of an asset.
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References
Brock, William A., Michael Rothschild and Joseph E. Stiglitz: “Stochastic Capital Theory”, Social Systems Research Institute Paper No. 8303.
Chow, Y.S., H. Robbins and D. Siegmund: Great Expectations: The Theory of Optimal Stopping (Boston: Houghton Mifflin, 1971).
Krylov, N.V., Controlled Diffusion Processes (New York: Springer-Verlag, 1980).
Miroshnichenko, T.P., “Optimal Stopping of the Integral of a Wiener Process”. Theory of Probability and its Applications (1975), 20: 387–391.
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© 1986 Springer-Verlag Berlin Heidelberg
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Brock, W.A., Rothschild, M. (1986). Comparative Statics for Multidimensional Optimal Stopping Problems. In: Sonnenschein, H.F. (eds) Models of Economic Dynamics. Lecture Notes in Economics and Mathematical Systems, vol 264. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51645-0_9
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DOI: https://doi.org/10.1007/978-3-642-51645-0_9
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