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 (Lecture Notes in Mathematics, 1856) - Softcover

Back, Kerry; Bielecki, Tomasz R.; Hipp, Christian; Peng, Shige; Schachermayer, Walter

Softcover

ISBN 10: 3540229531 ISBN 13: 9783540229537

Publisher: Springer, 2004

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.

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2004
• Language: English
• ISBN 10: 3540229531
• ISBN 13: 9783540229537
• Binding: Paperback
• Number of pages: 328
• Editor: Frittelli Marco, Runggaldier Wolfgang J.