The solution of some discretionary stopping problems

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2 Citations (Scopus)
41 Downloads (Pure)


We present a methodology for obtaining explicit solutions to infinite time horizon optimal stopping problems involving general, one-dimensional, It\^o diffusions, payoff functions that need not be smooth and state-dependent discounting. This is done within a framework based on dynamic programming techniques employing variational inequalities. The aim of this paper is to facilitate the solution of a wide variety of problems, particularly in finance or economics.
Original languageEnglish
Pages (from-to)717–744
Number of pages28
JournalIMA Journal of Mathematical Control and Information
Issue number3
Publication statusPublished - 17 Dec 2015


  • Stochastic Control
  • Optimal stopping
  • Dynamic programming
  • Finance

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistics and Probability
  • Management Science and Operations Research
  • Statistics, Probability and Uncertainty


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