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Title:On the valuation of fader and discrete barrier options in Heston's Stochastic Volatility Model PDF Logo
Authors:Griebsch, Susanne
Wystup, Uwe
Issue Date:2008
Series/Report no.:CPQF Working Paper Series 17
Abstract:We focus on closed-form option pricing in Heston’s stochastic volatility model, in which closed-form formulas exist only for few option types. Most of these closed-form solutions are constructed from characteristic functions. We follow this approach and derive multivariate characteristic functions depending on at least two spot values for different points in time. The derived characteristic functions are used as building blocks to set up (semi-) analytical pricing formulas for exotic options with payoffs depending on finitely many spot values such as fader options and discretely monitored barrier options. We compare our result with different numerical methods and examine accuracy and computational times.
Subjects:exotic options
Heston Model
Characteristic Function
Multidimensional Fast Fourier Transforms
JEL:G13
Document Type:Working Paper
Appears in Collections:CPQF Working Paper Series, Frankfurt School of Finance and Management

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