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Applied Mathematics and Computation
Article . 2018 . Peer-reviewed
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Article . 2018
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Article . 2017 . Peer-reviewed
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Article . 2018
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On the Data-Driven COS Method

On the data-driven COS method
Authors: Á. Leitao Rodriguez (Álvaro); C.W. Oosterlee (Kees); L. Ortiz Gracia (Luis); S.M. Bohte (Sander);

On the Data-Driven COS Method

Abstract

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.

Countries
Spain, Spain, Netherlands
Keywords

Applications of statistics to actuarial sciences and financial mathematics, Estadística matemàtica, COS method, Anàlisi de Fourier, Numerical methods (including Monte Carlo methods), Greeks, delta-gamma approach, Applied mathematics, Fourier analysis, Matemàtica aplicada, Monte Carlo method, Density estimation, Mathematical statistics, Data-driven approach, Derivative securities (option pricing, hedging, etc.), The SABR model, density estimation, The COS method, SABR model, data-driven approach, Delta–Gamma approach, Mètode de Montecarlo

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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13
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