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On a free boundary problem for an American put option under the CEV process
- Source :
-
Applied Mathematics Letters . Jul2011, Vol. 24 Issue 7, p1191-1198. 8p. - Publication Year :
- 2011
-
Abstract
- Abstract: We consider an American put option under the CEV process. This corresponds to a free boundary problem for a PDE. We show that this free boundary satisfies a nonlinear integral equation, and analyze it in the limit of small , where is the interest rate and is the volatility. We use perturbation methods to find that the free boundary behaves differently for five ranges of time to expiry. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 08939659
- Volume :
- 24
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Applied Mathematics Letters
- Publication Type :
- Academic Journal
- Accession number :
- 59641320
- Full Text :
- https://doi.org/10.1016/j.aml.2011.02.006