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Derivative Pricing in Discrete Time (Paperback, 2013 ed.)
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Derivative Pricing in Discrete Time (Paperback, 2013 ed.)
Series: Springer Undergraduate Mathematics Series
Expected to ship within 10 - 15 working days
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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; 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 theory examines the
simplest possible financial model having 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 Black-Scholes
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."
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