Stochastic Finance: An Introduction in Discrete Time. Front Cover. Hans Föllmer, Alexander Schied. Walter de Gruyter, – Business & Economics – DOI /s BOOK REVIEW. H. Föllmer, A. Schied: Stochastic finance: an introduction in discrete time. de Gruyter Studies. : Stochastic Finance: An Introduction In Discrete Time 2 (Degruyter Studies in Mathematics) (): Hans Follmer, Alexander Schied.
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Stochastic Finance, 4th Edition
This stochastoc is an introduction to financial mathematics. It is intended for graduate students in mathematics and for researchers working in academia and industry. The focus on stochastic models in discrete time has two immediate benefits.
First, the probabilistic machinery is simpler, and one can discuss right away some of the key problems in the theory of pricing and hedging of financial derivatives.
Second, the paradigm of a complete financial market, where all derivatives admit a perfect hedge, becomes the exception rather than the rule. Thus, the need to confront the intrinsic risks arising from market incomleteness appears at a very early stage.
The first part of the book contains a study of a simple one-period model, which also 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 financial risk. In the second part, the idea of dynamic hedging of contingent claims is developed in a multiperiod framework.
Topics include martingale measures, pricing formulas for derivatives, American foplmer, superhedging, and hedging strategies with minimal shortfall risk. This fourth, newly revised edition contains more than one hundred exercises. It also includes material on risk measures and the related issue of model uncertainty, in particular a chapter on dynamic risk measures and sections on robust utility maximization and on efficient hedging with convex risk measures.
Dynamic hedging Dynamic arbitrage theory American contingent claims Superhedging Efficient follker Hedging under constraints Minimizing the hedging error Dynamic risk measures.
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Book Description This book is an introduction to financial mathematics. Mathematical finance in one period 1 Arbitrage theory 1. Dynamic hedging 5 Dynamic arbitrage theory 5.