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Analysis, Geometry, and Modeling in Finance (Chapman & Hall/Crc Financial Mathematics Series)
by Pierre Henry-Labordère
Hardcover: 400 pages
Publisher: Chapman & Hall/CRC; 1 edition (September 19, 2008)
ISBN: 1420086995
Through the problem of option pricing, the author introduces powerful tools and methods, including differential geometry, spectral decomposition, and supersymmetry, and applies these methods to practical problems in finance. He mainly focuses on the calibration and dynamics of implied volatility, which is commonly called smile. The book covers the Black–Scholes, local volatility, and stochastic volatility models, along with the Kolmogorov, Schrödinger, and Bellman–Hamilton–Jacobi equations.
Providing both theoretical and numerical results throughout, this book offers new ways of solving financial problems using techniques found in physics and mathematics.
[此贴子已经被作者于2009-6-1 17:28:28编辑过]