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Computational Methods in Finance (Hardcover, New)
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Computational Methods in Finance (Hardcover, New)
Series: Chapman and Hall/CRC Financial Mathematics Series
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As today's financial products have become more complex,
quantitative analysts, financial engineers, and others in the
financial industry now require robust techniques for numerical
analysis. Covering advanced quantitative techniques, Computational
Methods in Finance explains how to solve complex functional
equations through numerical methods. The first part of the book
describes pricing methods for numerous derivatives under a variety
of models. The book reviews common processes for modeling assets in
different markets. It then examines many computational approaches
for pricing derivatives. These include transform techniques, such
as the fast Fourier transform, the fractional fast Fourier
transform, the Fourier-cosine method, and saddlepoint method; the
finite difference method for solving PDEs in the diffusion
framework and PIDEs in the pure jump framework; and Monte Carlo
simulation. The next part focuses on essential steps in real-world
derivative pricing. The author discusses how to calibrate model
parameters so that model prices are compatible with market prices.
He also covers various filtering techniques and their
implementations and gives examples of filtering and parameter
estimation. Developed from the author's courses at Columbia
University and the Courant Institute of New York University, this
self-contained text is designed for graduate students in financial
engineering and mathematical finance as well as practitioners in
the financial industry. It will help readers accurately price a
vast array of derivatives.
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