Almost-Exact Simulation Scheme for Heston-type Models: Bermudan and American Option Pricing
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911350843768832 |
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| author | Dimitrov, Mara Kalicanin Dimitrov, Marko Malyarenko, Anatoliy Ni, Ying |
| author_facet | Dimitrov, Mara Kalicanin Dimitrov, Marko Malyarenko, Anatoliy Ni, Ying |
| contents | Recently, an Almost-Exact Simulation (AES) scheme was introduced for the Heston stochastic volatility model and tested for European option pricing. This paper extends this scheme for pricing Bermudan and American options under both Heston and double Heston models. The AES improves Monte Carlo simulation efficiency by using the non-central chi-square distribution for the variance process. We derive the AES scheme for the double Heston model and compare the performance of the AES schemes under both models with the Euler scheme. Our numerical experiments validate the effectiveness of the AES scheme in providing accurate option prices with reduced computational time, highlighting its robustness for both models. In particular, the AES achieves higher accuracy and computational efficiency when the number of simulation steps matches the exercise dates for Bermudan options. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00815 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Almost-Exact Simulation Scheme for Heston-type Models: Bermudan and American Option Pricing Dimitrov, Mara Kalicanin Dimitrov, Marko Malyarenko, Anatoliy Ni, Ying Pricing of Securities Probability Computational Finance 91G60, 60H10, 65C05, 91G20 Recently, an Almost-Exact Simulation (AES) scheme was introduced for the Heston stochastic volatility model and tested for European option pricing. This paper extends this scheme for pricing Bermudan and American options under both Heston and double Heston models. The AES improves Monte Carlo simulation efficiency by using the non-central chi-square distribution for the variance process. We derive the AES scheme for the double Heston model and compare the performance of the AES schemes under both models with the Euler scheme. Our numerical experiments validate the effectiveness of the AES scheme in providing accurate option prices with reduced computational time, highlighting its robustness for both models. In particular, the AES achieves higher accuracy and computational efficiency when the number of simulation steps matches the exercise dates for Bermudan options. |
| title | Almost-Exact Simulation Scheme for Heston-type Models: Bermudan and American Option Pricing |
| topic | Pricing of Securities Probability Computational Finance 91G60, 60H10, 65C05, 91G20 |
| url | https://arxiv.org/abs/2601.00815 |