TY - BOOK AU - Frittelli M ed. ED - C.I.M.E.-E.M.S. Summer School on Stochastic Methods in Finance ED - C.I.M.E.-E.M.S. summer school on stochastic methods in finance TI - Stochastic methods in finance: lectures SN - 3-540-22953-1 U1 - 000SB:332 PY - 2004/// CY - Berlin PB - Springer-Verlag KW - Applied statistics KW - Financial economics KW - Stochastic processes N2 - 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 ER -