2024
DOI: 10.15672/hujms.1066143
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Reduced-Order Modeling for Heston Stochastic Volatility Model

Sinem KOZPINAR,
Murat UZUNCA,
Bülent KARASÖZEN

Abstract: 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 h… Show more

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