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This is the third, revised and extended edition of the classical introduction to the mathematics of finance, based on stochastic models in discrete time. In the first part of the book simple one-period models are studied, in the second part the idea of dynamic hedging of contingent claims is developed in a multiperiod framework.

Due to the strong appeal and wide use of this book, it is now available as a textbook with exercises. It will be of value for a broad community of students and researchers. It may serve as basis for graduate courses and be also interesting for those who work...

This is the fourth, newly revised edition of the classical introduction to the mathematics of finance, based on stochastic models in discrete time. In the first part of the book, simple one-period models are studied, while in the second part, the idea of dynamic hedging of contingent claims is developed in a multiperiod framework.

This book is an introduction to financial mathematics.

The first part of the book studies a simple one-period model which serves as a building block for later developments. Topics include the characterization of arbitrage-free markets, preferences on asset profiles, an introduction to equilibrium analysis, and monetary measures of risk.

In the second part, the idea of dynamic hedging of contingent claims is developed in a multiperiod framework. Such models are typically incomplete: They involve intrinsic risks which cannot be hedged away completely. Topics include martingale...

Gross, Leonard: Thermodynamics, statistical mechanics, and random fields.-Follmer, Hans: Random fields and diffusion processes.- Nelson, Edward: Stochastic mechanics and random fields.- Albeverio, Sergio: Theory of Dirichlet forms and applications.​

This volume contains detailed, worked-out notes of six main courses given at the Saint-Flour Summer Schools from 1985 to 1987.