Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775068 | Journal of Mathematical Analysis and Applications | 2017 | 20 Pages |
Abstract
In this paper, we study a double-barrier option with a stochastic volatility model whose volatility is driven by a fast mean-reverting process, where the option's payoff is extinguished as the underlying asset crosses one of two barriers. By using an asymptotic analysis and Mellin transform techniques, we derive semi-analytic option pricing formulas with the sum of a leading-order term and a correction-order term, and then the accuracy of the first approximation price of the double-barrier option is verified by using Monte Carlo simulation. Moreover, we analyze the impact of stochastic volatility on the double-barrier option prices. Finally, we demonstrate that our results enhance the existing double-barrier option price structures in view of flexibility and applicability through the market price of volatility risk.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Junkee Jeon, Ji-Hun Yoon, Chang-Rae Park,