Stochastic Methods in Finance [electronic resource] : Lectures given at the C.I.M.E.-E.M.S. Summer School held in Bressanone/Brixen, Italy, July 6-12, 2003 / by Kerry Back, Tomasz R. Bielecki, Christian Hipp, Shige Peng, Walter Schachermayer.

By: Back, Kerry [author.]Contributor(s): Bielecki, Tomasz R [author.] | Hipp, Christian [author.] | Peng, Shige [author.] | Schachermayer, Walter [author.] | SpringerLink (Online service)Material type: TextTextSeries: Lecture Notes in Mathematics, Fondazione C.I.M.E., Firenze ; 1856Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2004Description: XVI, 312 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540446446Subject(s): Mathematics | Finance | Systems theory | Distribution (Probability theory) | Mathematics | Probability Theory and Stochastic Processes | Quantitative Finance | Game Theory, Economics, Social and Behav. Sciences | Systems Theory, ControlAdditional physical formats: Printed edition:: No titleDDC classification: 519.2 LOC classification: QA273.A1-274.9QA274-274.9Online resources: Click here to access online
Contents:
Preface -- Kerry Back: Incomplete and Asymmetric Information in Asset Pricing Theory -- Tomasz R. Bielecki, Monique Jeanblanc, Marek Rutkowski: Modeling and Valuation of Credit Risk -- Christian Hipp: Stochastic Control with Application in Insurance -- Shige Peng: Nonlinear Expectations, Nonlinear Evaluations and Risk Measures -- Walter Schachermayer: Utility Maximisation in Incomplete Markets.
In: Springer eBooksSummary: 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.
Item type: E-BOOKS
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Preface -- Kerry Back: Incomplete and Asymmetric Information in Asset Pricing Theory -- Tomasz R. Bielecki, Monique Jeanblanc, Marek Rutkowski: Modeling and Valuation of Credit Risk -- Christian Hipp: Stochastic Control with Application in Insurance -- Shige Peng: Nonlinear Expectations, Nonlinear Evaluations and Risk Measures -- Walter Schachermayer: Utility Maximisation in Incomplete Markets.

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.

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