TY - BOOK AU - Back,K. AU - Frittelli,M. AU - Runggaldier,W.J. ED - CIME-EMS School on "Stochastic Methods in Finance" ED - Centro internazionale matematico estivo. ED - European Mathematical Society. TI - 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 T2 - Lecture notes in mathematics, SN - 9783540446446 AV - QA3HG106 .L28 no. 1856 U1 - 519.22 22 PY - 2004/// CY - Berlin, New York PB - Springer KW - Finance KW - Mathematical models KW - Stochastic analysis KW - Finances KW - Modèles mathématiques KW - Analyse stochastique KW - Análisis estocástico KW - embne KW - fast KW - proceedings (reports) KW - aat KW - Conference papers and proceedings KW - lcgft KW - Actes de congrès KW - rvmgf N1 - Contains five lecture courses given at the CIME-EMS School on "Stochastic Methods in Finance, held in Brassanone/Brixen, Italy, 2003; "Subseries: Fondazione C.I.M.E., Firenze"--Series title page; Includes bibliographical references; Incomplete and asymmetric information in asset pricing theory / Kerry Back -- Modeling and valuation of credit risk / Tomasz R. Bielecki, Monique Jeanblanc, Marek Rutkowski -- Stochastic control with application in insurance / Christian Hipp -- Nonlinear expectations, nonlinear evaluations and risk measures / Shige Peng -- Utility maximisation in incomplete markets / Walter Schachermayer 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 UR - https://link-springer-com.libraryproxy.ist.ac.at/10.1007/b100122 ER -