Unlike much of the existing literature, Stochastic Finance: A
Numeraire Approach treats price as a number of units of one asset
needed for an acquisition of a unit of another asset instead of
expressing prices in dollar terms exclusively. This numeraire
approach leads to simpler pricing options for complex products,
such as barrier, lookback, quanto, and Asian options. Most of the
ideas presented rely on intuition and basic principles, rather than
technical computations. The first chapter of the book introduces
basic concepts of finance, including price, no arbitrage,
portfolio, financial contracts, the First Fundamental Theorem of
Asset Pricing, and the change of numeraire formula. Subsequent
chapters apply these general principles to three kinds of models:
binomial, diffusion, and jump models. The author uses the binomial
model to illustrate the relativity of the reference asset. In
continuous time, he covers both diffusion and jump models in the
evolution of price processes. The book also describes term
structure models and numerous options, including European, barrier,
lookback, quanto, American, and Asian. Classroom-tested at Columbia
University to graduate students, Wall Street professionals, and
aspiring quants, this text provides a deep understanding of
derivative contracts. It will help a variety of readers from the
dynamic world of finance, from practitioners who want to expand
their knowledge of stochastic finance, to students who want to
succeed as professionals in the field, to academics who want to
explore relatively advanced techniques of the numeraire change.
General
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