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Published version

Publication date

2021-03

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cc-by (c) Romo, Eudald et al., 2021
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/175185

SWIFT Calibration of the Heston model

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https://doi.org/10.3390/math9050529

Abstract

In the present work, the SWIFT method for pricing European options is extended to Heston model calibration. The computation of the option price gradient is simplified thanks to the knowledge of the characteristic function in closed form. The proposed calibration machinery appears to be extremely fast, in particular for a single expiry and multiple strikes, outperforming the state-of-the-art method we compare it with. Further, the a priori knowledge of SWIFT parameters makes a reliable and practical implementation of the presented calibration method possible. A wide range of stress, speed and convergence numerical experiments is carried out, with deep in-the-money, at-the-money and deep out-of-the-money options for very short and very long maturities

Subject

Anàlisi financera, Matemàtica financera, Ondetes (Matemàtica), Calibratge, Incertesa (Teoria de la informació)

Subject (English)

Investment analysis, Business mathematics, Wavelets (Mathematics), Calibration, Uncertainty (Information theory)

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Articles publicats en revistes (Econometria, Estadística i Economia Aplicada)

Citation

ROMO, Eudald and ORTIZ GRACIA, Luis. SWIFT Calibration of the Heston model. Mathematics. 2021. Vol. 9, num. 529, pags. 1-20. ISSN 2227-7390. [consulted: 20 of August of 2026]. Available at: https://hdl.handle.net/2445/175185

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