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handle: 2445/120997
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.
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
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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