Pricing of American put option under a jump diffusion process with stochastic volatility in an incomplete market
We study the pricing of American options in an incomplete market in which the dynamics of the underlying risky asset is driven by a jump diffusion process with stochastic volatility. By employing a risk-minimization criterion, we obtain the Radon-Nikodym derivative for the minimal martingale measure...
| Main Authors: | , , , |
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| Format: | Journal Article |
| Published: |
Hindawi Publishing Corporation
2014
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| Online Access: | http://hdl.handle.net/20.500.11937/33888 |
| _version_ | 1848754071532470272 |
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| author | Li, S. Zhou, Y. Ruan, X. Wiwatanapataphee, B |
| author_facet | Li, S. Zhou, Y. Ruan, X. Wiwatanapataphee, B |
| author_sort | Li, S. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We study the pricing of American options in an incomplete market in which the dynamics of the underlying risky asset is driven by a jump diffusion process with stochastic volatility. By employing a risk-minimization criterion, we obtain the Radon-Nikodym derivative for the minimal martingale measure and consequently a linear complementarity problem (LCP) for American option price. An iterative method is then established to solve the LCP problem for American put option price. Our numerical results show that the model and numerical scheme are robust in capturing the feature of incomplete finance market, particularly the influence of market volatility on the price of American options. |
| first_indexed | 2025-11-14T08:34:35Z |
| format | Journal Article |
| id | curtin-20.500.11937-33888 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:34:35Z |
| publishDate | 2014 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-338882017-09-13T15:12:27Z Pricing of American put option under a jump diffusion process with stochastic volatility in an incomplete market Li, S. Zhou, Y. Ruan, X. Wiwatanapataphee, B We study the pricing of American options in an incomplete market in which the dynamics of the underlying risky asset is driven by a jump diffusion process with stochastic volatility. By employing a risk-minimization criterion, we obtain the Radon-Nikodym derivative for the minimal martingale measure and consequently a linear complementarity problem (LCP) for American option price. An iterative method is then established to solve the LCP problem for American put option price. Our numerical results show that the model and numerical scheme are robust in capturing the feature of incomplete finance market, particularly the influence of market volatility on the price of American options. 2014 Journal Article http://hdl.handle.net/20.500.11937/33888 10.1155/2014/236091 Hindawi Publishing Corporation unknown |
| spellingShingle | Li, S. Zhou, Y. Ruan, X. Wiwatanapataphee, B Pricing of American put option under a jump diffusion process with stochastic volatility in an incomplete market |
| title | Pricing of American put option under a jump diffusion process with stochastic volatility in an incomplete market |
| title_full | Pricing of American put option under a jump diffusion process with stochastic volatility in an incomplete market |
| title_fullStr | Pricing of American put option under a jump diffusion process with stochastic volatility in an incomplete market |
| title_full_unstemmed | Pricing of American put option under a jump diffusion process with stochastic volatility in an incomplete market |
| title_short | Pricing of American put option under a jump diffusion process with stochastic volatility in an incomplete market |
| title_sort | pricing of american put option under a jump diffusion process with stochastic volatility in an incomplete market |
| url | http://hdl.handle.net/20.500.11937/33888 |