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Stochastic Finance: An Introduction in Discrete Time

Stochastic Finance: An Introduction in Discrete Time

Paperback

Series: de Gruyter Textbook

Business GeneralInvesting & FinanceProbability & Statistics

Publisher Price: $69.00

ISBN10: 3110218046
ISBN13: 9783110218046
Publisher: De Gruyter
Published: Jan 28 2011
Pages: 555
Weight: 2.05
Height: 1.30 Width: 6.70 Depth: 9.40
Language: English
This book 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 options, superhedging, and hedging strategies with minimal shortfall risk.

Also from

Föllmer, Hans

Also in

Probability & Statistics