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Field name	Details
Dewey Class	519
Title	Derivative Pricing in Discrete Time ([Ebook]) / by Nigel J. Cutland, Alet Roux.
Author	Cutland, Nigel J.
Added Personal Name	Roux, Alet
Other name(s)	SpringerLink (Online service)
Publication	London : Springer London
Publication	, 2013.
Physical Details	XV, 325 pages, 63 illus. : online resource.
Series	Springer undergraduate mathematics series 1615-2085
ISBN	9781447144083
Summary Note	Derivatives are financial entities whose value is derived from the value of other more concrete assets such as stocks and commodities. They are an important ingredient of modern financial markets. This book provides an introduction to the mathematical modelling of real world financial markets and the rational pricing of derivatives, which is part of the theory that not only underpins modern financial practice but is a thriving area of mathematical research. The central theme is the question of how to find a fair price for a derivative, which is defined to be a price at which it is not possible for any trader to make a risk free profit by trading in the derivative. To keep the mathematics as simple as possible, while explaining the basic principles, only discrete time models with a finite number of possible future scenarios are considered. The authors first examine the simplest possible financial model, which has only one time step, where many of the fundamental ideas occur, and are easily understood. Proceeding slowly, the theory progresses to more realistic models with several stocks and multiple time steps, and includes a comprehensive treatment of incomplete models. The emphasis throughout is on clarity combined with full rigour. The later chapters deal with more advanced topics, including how the discrete time theory is related to the famous continuous time BlackâScholes theory, and a uniquely thorough treatment of American options. The book assumes no prior knowledge of financial markets, and the mathematical prerequisites are limited to elementary linear algebra and probability. This makes it accessible to undergraduates in mathematics as well as students of other disciplines with a mathematical component. It includes numerous worked examples and exercises, making it suitable for self-study.:
Contents note	Derivative Pricing and Hedging -- A Simple Market Model -- Single-Period Models -- Multi-Period Models: No-Arbitrage Pricing -- Multi-Period Models: Risk-Neutral Pricing -- The Cox-Ross-Rubinstein model -- American Options -- Advanced Topics.
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/10.1007/978-1-4471-4408-3
Links to Related Works	Subject References: Distribution (Probability theory) . Finance . Finance/Investment/Banking . Mathematics . Probability theory and stochastic processes . Quantitative Finance . Authors: author . Cutland, Nigel J. . Roux, Alet . Corporate Authors: SpringerLink (Online service) . Series: Springer undergraduate mathematics series . Classification: 519 . 519 (DDC 23) .

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Derivative Pricing in Discrete Time

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