Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1151716 | Statistics & Probability Letters | 2014 | 9 Pages |
Abstract
In this paper, we consider a path-dependent option in finance under the constant elasticity of variance diffusion. We use a perturbation argument and the probabilistic representation (the Feynman–Kac theorem) of a partial differential equation to obtain a complete asymptotic expansion of the option price in a recursive manner based on the Black–Scholes formula and prove rigorously the existence of the expansion with a convergence error.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Jeong-Hoon Kim, Sang-Hyeon Park,