Optimal Stopping of Linear Diffusions with Random Discounting

  title={Optimal Stopping of Linear Diffusions with Random Discounting},
  author={Savas Dayanik},
  journal={Math. Oper. Res.},
We propose a new solution method for optimal stopping problems with random discounting for linear diffusions whose state space has a combination of natural, absorbing, or reflecting boundaries. The method uses a concave characterization of excessive functions for linear diffusions killed at a rate determined by a Markov additive functional and reduces the original problem to an undiscounted optimal stopping problem for a standard Brownian motion. The latter can be solved essentially by… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 49 references

Optimal stopping of linear diffusions with random discounting

  • S. Dayanik
  • Preprint. (http://www.princeton.edu/ ̃sdayanik…
  • 2003
Highly Influential
4 Excerpts

Quickest detection problems in the technical analysis of the financial data

  • A. N. Shiryaev
  • Mathematical finance—Bachelier Congress, 2000…
  • 2002
Highly Influential
8 Excerpts

Optimal stopping of regular diffusions under random discounting

  • M. Beibel, H. R. Lerche
  • Theory Probab. Appl., 45(4):547–557
  • 2001
Highly Influential
5 Excerpts

Lectures on the Mathematics of Finance

  • I. Karatzas
  • volume 8 of CRM Monograph Series. American…
  • 1997
Highly Influential
17 Excerpts

A Second Course in Stochastic Processes

  • S. Karlin, H. M. Taylor
  • Academic Press Inc. [Harcourt Brace Jovanovich…
  • 1981
Highly Influential
4 Excerpts

On the Stefan problem and optimal stopping rules for Markov processes

  • B. I. Grigelionis, A. N. Shiryaev
  • Teor. Verojatnost. i Primenen, 11:612–631
  • 1966
Highly Influential
8 Excerpts

Viscosity solutions of optimal stopping problems

  • B. Øksendal, K. Reikvam
  • Stochastics Stochastics Rep., 62(3-4):285–301
  • 1998
Highly Influential
3 Excerpts

Applications of variational inequalities in stochastic control

  • A. Bensoussan, J.-L. Lions
  • volume 12 of Studies in Mathematics and its…
  • 1982
Highly Influential
2 Excerpts

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