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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/127590
SWIFT valuation of discretely monitored arithmetic Asian options
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Abstract
In this work, we propose an efficient and robust valuation of discretely monitored arithmetic Asian options based on Shannon wavelets. We employ the so-called SWIFT method, a Fourier inversion numerical technique with several important advantages with respect to the existing related methods. Particularly interesting is that SWIFT provides mechanisms to determine all the free-parameters in the method, based on a prescribed precision in the density approximation. The method is applied to two general classes of dynamics: exponential Lévy models and square-root diffusions. Through the numerical experiments, we show that SWIFT outperforms state-of-the-art methods in terms of accuracy and robustness, and shows an impressive speed in execution time.
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LEITAO, Alvaro, ORTIZ GRACIA, Luis and WAGNER, Emma I. SWIFT valuation of discretely monitored arithmetic Asian options. Journal Of Computational Science. 2018. Vol. 28, num. September, pags. 120-139. ISSN 1877-7503. [consulted: 15 of June of 2026]. Available at: https://hdl.handle.net/2445/127590