Scandinavian Working Papers in Economics

Working Paper Series,
Royal Institute of Technology, Department of Real Estate and Construction Management & Banking and Finance

No 18/2: Optimal Stopping of a Killed Exponentially Growing Process

Fredrik Armerin ()
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Fredrik Armerin: Department of Real Estate and Construction Management, Royal Institute of Technology, Postal: , Brinellvägen 1, 100 44 Stockholm, Sweden

Abstract: We consider a finite horizon optimal stopping problem. The value of the underlying process grows exponentially until a Poisson process jumps for the first time, at which the processes jumps to zero and stays there forever. As applications of this model we consider valuing real options and options written on the stock of a start-up company.

Keywords: Optimal stopping; Poisson processes; American options

JEL-codes: C61

12 pages, May 30, 2018

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