The present Cime volume includes 4 lecture courses by Bressan, Serre, Zumbrun and Williams and a Tutorial by Bressan on the Center Manifold Theorem. Bressanβs notes start with an extensive review of hyperbolic conservation laws. Then he introduces the vanishing viscosity approach and explains clearl
Stochastic Methods in Finance: Lectures given at the C.I.M.E.-E.M.S. Summer School held in Bressanone/Brixen, Italy, July 6-12, 2003
β Scribed by Kerry Back, Tomasz R. Bielecki, Christian Hipp, Shige Peng, Walter Schachermayer (auth.)
- Book ID
- 127426482
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 3 MB
- Edition
- 1
- Category
- Library
- City
- Berlin; New York
- ISBN
- 3540446443
- ISSN
- 0075-8434
- DOI
- 10.1007/b100122
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β¦ Synopsis
This volume includes the five lecture courses given at the CIME-EMS School on "Stochastic Methods in Finance" held in Bressanone/Brixen, Italy 2003. It deals with innovative methods, mainly from stochastic analysis, that play a fundamental role in the mathematical modelling of finance and insurance: the theory of stochastic processes, optimal and stochastic control, stochastic differential equations, convex analysis and duality theory. Five topics are treated in detail: Utility maximization in incomplete markets; the theory of nonlinear expectations and its relationship with the theory of risk measures in a dynamic setting; credit risk modelling; the interplay between finance and insurance; incomplete information in the context of economic equilibrium and insider trading.
β¦ Subjects
Systems Theory, Control
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