An Iteration Procedure for Solving Integral Equations Related to Optimal Stopping Problems
AbstractA new algorithm for finding value functions of finite horizon optimal stopping problems in one-dimensional diffusion models is presented. It is based on a time discretization of the corresponding integral equation. The proposed iterative procedure for solving the discretized integral equation converges in a finite number of steps and delivers in each step a lower or an upper bound for value of discretized problem on the whole time interval. The remarks on the application of the method for solving integral equations related to some optimal stopping problems are given.
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Bibliographic InfoPaper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2006-043.
Length: 18 pages
Date of creation: May 2006
Date of revision:
Optimal stopping; finite horizon; diffusion process; upper and lower bounds; Black-Scholes model; American put option; Asian option; Russian option; Bayesian sequential testing problem; disorder detection problem;
Find related papers by JEL classification:
- C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-05-27 (All new papers)
- NEP-FIN-2006-05-27 (Finance)
- NEP-SEA-2006-05-27 (South East Asia)
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