Lévy Processes and Stochastic Calculus (Cambridge Studies in Advanced Mathematics)
By David Applebaum
Publisher: Cambridge University Press
Number Of Pages: 408
Publication Date: 2004-07-05
ISBN-10 / ASIN: 0521832632
ISBN-13 / EAN: 9780521832632
Binding: Hardcover
Product Description:
Lévy processes form a wide and rich class of random process, and have many applications ranging from physics to finance. Stochastic calculus is the mathematics of systems interacting with random noise. David Applebaum connects the two subjects together in this monograph. After an introduction to the general theory of Lévy processes, he accessibly develops the stochastic calculus for Lévy processes. All the tools needed for the stochastic approach to option pricing, including Itô's formula, Girsanov's theorem and the martingale representation theorem, are described.
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