An Emppirical Study on Asymmetric Jump Diffusion For Option and Annuity Pricing
In this research, we are presenting a method for estimation of market parameters modeled by jump diffusion process. As we are concerned about the current pricing model with geometric Brownian motion is not sufficient to capture the events of jump spikes. The method proposed is based on the Gibbs sa...
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| Format: | Final Year Project / Dissertation / Thesis |
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2018
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| Online Access: | http://eprints.utar.edu.my/3613/ http://eprints.utar.edu.my/3613/1/SCA%2D2018%2D1601201%2D1.pdf |
| _version_ | 1848885946216349696 |
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| author | Lau, Kein Joe |
| author_facet | Lau, Kein Joe |
| author_sort | Lau, Kein Joe |
| building | UTAR Institutional Repository |
| collection | Online Access |
| description | In this research, we are presenting a method for estimation of market parameters modeled by jump diffusion process. As we are concerned about the current pricing model with geometric Brownian motion is not sufficient to
capture the events of jump spikes. The method proposed is based on the Gibbs sampling method, while the market parameters are the drift, the volatility, the jump intensity and its rate of occurrence.We have demonstrated that Kou's jump diffusion model is insufficient to
observe and to identify the effect on jump spike event onto the market indexes as it assumes jumps are symmetrical to each other for both directions.
Asymmetric double normal jump diffusion model is introduced, where the jump component is modified into two different directions instead of fusing as one.
The empirical method is used to estimate the parameters of asymmetric double normal jump diffusion model from real market history data. Demonstration on how to use these parameters to estimate the fair price of European call option and annuity will be shown, for the situation where the market is modeled by jump diffusion process with different intensity and occurrence. The results arecompared to conventional options to observe the impact of jump effects. In conclusion, the proposed asymmetric double normal jump diffusion model able to capture the jump distribution of underlying assets in two directions. It can be applied into the pricing model of both European call option and annuity. |
| first_indexed | 2025-11-15T19:30:40Z |
| format | Final Year Project / Dissertation / Thesis |
| id | utar-3613 |
| institution | Universiti Tunku Abdul Rahman |
| institution_category | Local University |
| last_indexed | 2025-11-15T19:30:40Z |
| publishDate | 2018 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | utar-36132019-12-05T06:10:54Z An Emppirical Study on Asymmetric Jump Diffusion For Option and Annuity Pricing Lau, Kein Joe QA Mathematics TA Engineering (General). Civil engineering (General) In this research, we are presenting a method for estimation of market parameters modeled by jump diffusion process. As we are concerned about the current pricing model with geometric Brownian motion is not sufficient to capture the events of jump spikes. The method proposed is based on the Gibbs sampling method, while the market parameters are the drift, the volatility, the jump intensity and its rate of occurrence.We have demonstrated that Kou's jump diffusion model is insufficient to observe and to identify the effect on jump spike event onto the market indexes as it assumes jumps are symmetrical to each other for both directions. Asymmetric double normal jump diffusion model is introduced, where the jump component is modified into two different directions instead of fusing as one. The empirical method is used to estimate the parameters of asymmetric double normal jump diffusion model from real market history data. Demonstration on how to use these parameters to estimate the fair price of European call option and annuity will be shown, for the situation where the market is modeled by jump diffusion process with different intensity and occurrence. The results arecompared to conventional options to observe the impact of jump effects. In conclusion, the proposed asymmetric double normal jump diffusion model able to capture the jump distribution of underlying assets in two directions. It can be applied into the pricing model of both European call option and annuity. 2018 Final Year Project / Dissertation / Thesis NonPeerReviewed application/pdf http://eprints.utar.edu.my/3613/1/SCA%2D2018%2D1601201%2D1.pdf Lau, Kein Joe (2018) An Emppirical Study on Asymmetric Jump Diffusion For Option and Annuity Pricing. Master dissertation/thesis, UTAR. http://eprints.utar.edu.my/3613/ |
| spellingShingle | QA Mathematics TA Engineering (General). Civil engineering (General) Lau, Kein Joe An Emppirical Study on Asymmetric Jump Diffusion For Option and Annuity Pricing |
| title | An Emppirical Study on Asymmetric Jump Diffusion
For Option and Annuity Pricing |
| title_full | An Emppirical Study on Asymmetric Jump Diffusion
For Option and Annuity Pricing |
| title_fullStr | An Emppirical Study on Asymmetric Jump Diffusion
For Option and Annuity Pricing |
| title_full_unstemmed | An Emppirical Study on Asymmetric Jump Diffusion
For Option and Annuity Pricing |
| title_short | An Emppirical Study on Asymmetric Jump Diffusion
For Option and Annuity Pricing |
| title_sort | emppirical study on asymmetric jump diffusion
for option and annuity pricing |
| topic | QA Mathematics TA Engineering (General). Civil engineering (General) |
| url | http://eprints.utar.edu.my/3613/ http://eprints.utar.edu.my/3613/1/SCA%2D2018%2D1601201%2D1.pdf |