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cc-by-nc-nd (c) Elsevier B.V., 2018
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/120997

On the data-driven COS method

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In this paper, we present the data-driven COS method, ddCOS. It is a Fourier-based financial option valuation method which assumes the availability of asset data samples: a characteristic function of the underlying asset probability density function is not required. As such, the presented technique represents a generalization of the well-known COS method [1]. The convergence of the proposed method is in line with Monte Carlo methods for pricing financial derivatives. The ddCOS method is then particularly interesting for density recovery and also for the efficient computation of the option's sensitivities Delta and Gamma. These are often used in risk management, and can be obtained at a higher accuracy with ddCOS than with plain Monte Carlo methods.

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LEITAO, Alvaro, et al. On the data-driven COS method. Applied Mathematics and Computation. 2018. Vol. 317, num. January, pags. 68-84. ISSN 0096-3003. [consulted: 4 of August of 2026]. Available at: https://hdl.handle.net/2445/120997

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