Stochastic Financial Models

Developed from the esteemed author's advanced undergraduate and graduate courses at the University of Cambridge, this text provides a hands-on, sound introduction to mathematical finance. Assuming no prior knowledge of stochastic calculus or measure-theoretic probability, the author includes the relevant mathematical background as well as many exercises with solutions. He first presents the classical topics of utility and the mean-variance approach to portfolio choice. Focusing on derivative pricing, the text then covers the binomial model, the general discrete-time model, Brownian motion, the Black - Scholes model and various interest-rate models.

ISBN 1420093452   Pages 264 ISBN13 9781420093452 (What's this?)   Volumes 1 Publisher Taylor & Francis Ltd   Weight (grammes) 521 Imprint Chapman & Hall/CRC   Series title Chapman & Hall/CRC Financial Mathematics Series Format Hardback   Height (mm) 235 Publication date 20 Jan 2010   Width (mm) 156 DEWEY 332.632042   Spine width (mm) 20 DEWEY edition DC22   Academic level Undergraduate

1		Portfolio Choice		1
2		The Binomial Model		25
3		A General Discrete-Time Model		63
4		Brownian Motion		83
5		The Black-Scholes Model		113
6		Interest-Rate Models		165
A		Mathematical Preliminaries		193
B		Solutions to the Exercises		207
		Further Reading		247
		References		249
		Index		253

[T]he author covers a number of topics which are normally not addressed in introductions to stochastic finance, and he takes a new and innovative road in the derivation of many familiar results. ! the book does contain a lot of interesting material (some of it non-standard) that can enrich a lecture course and deepen the reader's understanding of financial mathematics, so that it definitely belongs on the shelf of every serious student/teacher in the field. ! --Ruediger Frey, The American Statistician, August 2011All notions and concepts are defined and well explained. ! Specific calculations of any type are included on almost any page and it is clear how important this is for a good understanding of the material. ! this well-written book prepared by a well-experienced teacher and researcher will be met with interest by many readers. The wide range of topics discussed in detail makes the book appropriate for courses in financial mathematics at both undergraduate and graduate levels. --Journal of the Royal Statistical Society, Series A, April 2011 This book is a superb beginning level text for senior undergraduate/graduate mathematicians, which is based on lectures delivered by its author to many generations of appreciative Cambridge mathematicians. Many of my own Ph.D. and masters students have taken Dr. Kennedy's course to uniformly good reviews; this readable book will make its material available to a worldwide audience. I have in the past struggled with some of Dr. Kennedy's exercises, but the book contains 40 pages of fully worked out solutions to help introduce the reader to the Oxbridge style of learning by problem solving in which even supervisors are sometimes challenged. --M.A.H. Dempster, Centre for Financial Research, Statistical Laboratory, University of Cambridge, UK

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