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Titlebook: Computational Methods for Quantitative Finance; Finite Element Metho Norbert Hilber,Oleg Reichmann,Christoph Winter Book 2013 Springer-Verl

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楼主: minuscule
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Lévy Modelsegro-differential equations must be solved. We consider a class of price processes which can be purely discontinuous and which contains the Wiener process as special case, the class of Lévy processes. Lévy processes contain most processes proposed as realistic models for log-returns.
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Sensitivities and Greeksdiffusion type and to more complicated contracts, closed form solutions are generally not available for pricing and calibration. Thus, prices and model sensitivities have to be approximated numerically.
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https://doi.org/10.1007/978-3-7091-5304-8on has a unique solution and the discretization schemes for finite element and finite differences are derived. Furthermore, we describe extensions of the Black–Scholes model, like the constant elasticity of variance (CEV) and the local volatility model.
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https://doi.org/10.1007/978-4-431-68375-9k at options which have different exercise styles like compound options which are options on options and swing options which have multiple exercise rights. We assume that the dynamics of the stock price is modeled by a geometric Brownian motion.
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