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Applications of Fourier Transform to Smile Modeling - Theory and Implementation (Paperback, Softcover reprint of hardcover 2nd ed. 2010)
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Applications of Fourier Transform to Smile Modeling - Theory and Implementation (Paperback, Softcover reprint of hardcover 2nd ed. 2010)
Series: Springer Finance
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Total price: R2,814
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This book addresses the applications of Fourier transform to smile
modeling. Smile effect is used generically by ?nancial engineers
and risk managers to refer to the inconsistences of quoted implied
volatilities in ?nancial markets, or more mat- matically, to the
leptokurtic distributions of ?nancial assets and indices.
Therefore, a sound modeling of smile effect is the central
challenge in quantitative ?nance. Since more than one decade,
Fourier transform has triggered a technical revolution in option
pricing theory. Almost all new developed option pricing models, es-
cially in connection with stochastic volatility and random jump,
have extensively applied Fourier transform and the corresponding
inverse transform to express - tion pricing formulas. The large
accommodation of the Fourier transform allows for a very convenient
modeling with a general class of stochastic processes and d-
tributions. This book is then intended to present a comprehensive
treatment of the Fourier transform in the option valuation,
covering the most stochastic factors such as stochastic
volatilities and interest rates, Poisson and Levy jumps, including
some asset classes such as equity, FX and interest rates, and
providing numerical ex- ples and prototype programming codes. I
hope that readers will bene't from this book not only by gaining an
overview of the advanced theory and the vast large l- erature on
these topics, but also by gaining a ?rst-hand feedback from the
practice on the applications and implementations of the theory."
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