Reduced-Order Modeling for Heston Stochastic Volatility Model
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arXiv
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| Format: | Preprint |
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2016
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| _version_ | 1866915087889989632 |
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| author | Kozpınar, Sinem Uzunca, Murat Karasözen, Bülent |
| author_facet | Kozpınar, Sinem Uzunca, Murat Karasözen, Bülent |
| contents | In this paper, we compare the intrusive proper orthogonal decomposition (POD) with Galerkin projection and the data-driven dynamic mode decomposition (DMD), for Heston's option pricing model. The full order model is obtained by discontinuous Galerkin discretization in space and backward Euler in time. Numerical results for butterfly spread, European and digital call options reveal that in general DMD requires more modes than the POD modes for the same level of accuracy. However, the speed-up factors are much higher for DMD than POD due to the non-intrusive nature of the DMD. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_1611_06097 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Reduced-Order Modeling for Heston Stochastic Volatility Model Kozpınar, Sinem Uzunca, Murat Karasözen, Bülent Numerical Analysis 65M60, 91B25, 91G80 In this paper, we compare the intrusive proper orthogonal decomposition (POD) with Galerkin projection and the data-driven dynamic mode decomposition (DMD), for Heston's option pricing model. The full order model is obtained by discontinuous Galerkin discretization in space and backward Euler in time. Numerical results for butterfly spread, European and digital call options reveal that in general DMD requires more modes than the POD modes for the same level of accuracy. However, the speed-up factors are much higher for DMD than POD due to the non-intrusive nature of the DMD. |
| title | Reduced-Order Modeling for Heston Stochastic Volatility Model |
| topic | Numerical Analysis 65M60, 91B25, 91G80 |
| url | https://arxiv.org/abs/1611.06097 |