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Business/Investing Introduction to Stochastic Calculus for Finance: A New Didactic Approach

Posted on 2010-03-15




Name:Business/Investing Introduction to Stochastic Calculus for Finance: A New Didactic Approach
ASIN/ISBN:3540348360
Language:English
File size:1.6 Mb
Publish Date: 2007-03
ISBN: 3540348360
Pages: 136 pages
File Type: PDF
File Size: 1,6 MB
Other Info: Springer
   Business/Investing Introduction to Stochastic Calculus for Finance: A New Didactic Approach

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Dieter Sondermann, "Introduction to Stochastic Calculus for Finance"

The large number of already available textbooks on stochastic calculus with specific applications to finance requires a justification for another contribution to this subject. The justifcation is mainly pedagogical. These lecture notes start with an elementary approach to stochastic calculus due to F?llmer, who showed that one can develop Ito's calculus "pathwise" as an exercise in real analysis. The text opens to students interested in finance a quick (but by no means "dirty") road to the tools required for advanced finance in continuous time, including option pricing by martingale methods, term structure models in a HJM-framework and the Libor market model. The reader is supposed only to be familiar with elementary real analysis (e.g. Taylor's Theorem) and basic probability theory. The text is also useful for mathematicians interested in the methods of modern mathematical finance without prior knowledge of advanced stochastic analysis.

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