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Field name	Details
Dewey Class	519
Title	Mathematics of Financial Markets ([EBook]) / by Robert J. Elliott, P. Ekkehard Kopp.
Author	Elliott, Robert James , 1940-
Added Personal Name	Kopp, P. Ekkehard
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 1999.
Physical Details	XI, 292 pages : online resource.
Series	Springer finance 1616-0533
ISBN	9781475771466
Summary Note	This work is aimed at an audience with asound mathematical background wishing to leam about the rapidly expanding field of mathematical finance. Its content is suitable particularly for graduate students in mathematics who have a background in measure theory and prob ability. The emphasis throughout is on developing the mathematical concepts re quired for the theory within the context of their application. No attempt is made to cover the bewildering variety of novel (or 'exotic') financial instru ments that now appear on the derivatives markets; the focus throughout remains on a rigorous development of the more basic options that lie at the heart of the remarkable range of current applications of martingale theory to financial markets. The first five chapters present the theory in a discrete-time framework. Stochastic calculus is not required, and this material should be accessible to anyone familiar with elementary probability theory and linear algebra. The basic idea of pricing by arbitrage (or, rather, by nonarbitrage) is presented in Chapter 1. The unique price for a European option in a single period binomial model is given and then extended to multi-period binomial models. Chapter 2 intro duces the idea of a martingale measure for price pro cesses. Following a discussion of the use of self-financing trading strategies to hedge against trading risk, it is shown how options can be priced using an equivalent measure for which the discounted price process is a mar tingale.:
Contents note	1 Pricing by Arbitrage -- 2 Martingale Measures -- 3 The Fundamental Theorem of Asset Pricing -- 4 Complete Markets and Martingale Representation -- 5 Stopping Times and American Options -- 6 A Review of Continuous-Time Stochastic Calculus -- 7 European Options in Continuous Time -- 8 The American Option -- 9 Bonds and Term Structure -- 10 Consumption-Investment Strategies -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4757-7146-6
Links to Related Works	Subject References: Economics, Mathematical . Mathematics . Probabilities . Probability theory and stochastic processes . Quantitative Finance . Statistics . Statistics, general . Authors: author . Elliott, Robert James 1940- . Elliott, Robert James, 1940- . Kopp, P. Ekkehard . Corporate Authors: SpringerLink (Online service) . Series: Springer finance . Classification: 519 .

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Mathematics of Financial Markets

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