Closed form asymptotics for local volatility models
We obtain new closed-form pricing formulas for contingent claims when the asset follows a Dupire-type local volatility model. To obtain the formulas we use the Dyson-Taylor commutator method that we have recently developed in [5, 6, 8] for short-time asymptotic expansions of heat kernels, and obtain a family of general closed-form approximate solutions for both the pricing kernel and derivative price. A bootstrap scheme allows us to extend our method to large time. We also perform analytic as well as a numerical error analysis, and compare our results to other known methods.
Year of publication: |
2009-10
|
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Authors: | Cheng, Wen ; Costanzino, Nick ; Liechty, John ; Mazzucato, Anna ; Nistor, Victor |
Institutions: | arXiv.org |
Saved in:
freely available
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