Optimal multiple stopping of linear diffusions

Rene A. Carmona, Savas Dayanik

Research output: Contribution to journalArticlepeer-review

48 Scopus citations


Motivated by the analysis of financial instruments with multiple exercise rights of American type and mean reverting underlyers, we formulate and solve the optimal multiple-stopping problem for a general linear regular diffusion process and a general reward function. Instead of relying on specific properties of geometric Brownian motion and call and put option payoffs as in most of the existing literature, we use general theory of optimal stopping for diffusions, and we illustrate the resulting optimal exercise policies by concrete examples and constructive recipes.

Original languageEnglish (US)
Pages (from-to)446-460
Number of pages15
JournalMathematics of Operations Research
Issue number2
StatePublished - May 2008

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Computer Science Applications
  • Management Science and Operations Research


  • Diffusions
  • Optimal multiple stopping
  • Snell envelope
  • Swing options


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