A variety of quantitative concepts and models essential to
understanding financial markets are introduced and explained in
this broad overview of financial analytical tools designed for
financial practitioners, advanced students, and researchers lacking
a strong mathematical background. Coverage ranges from matrix
mathematics and elementary calculus with their applications to
portfolio and fixed income analysis to probability and stochastic
processes with their applications to option pricing. The book is
sequenced by mathematics topics, most of which are followed by
relevant usage to areas such as valuation, risk management,
derivatives, back-testing of financial models, and market
efficiency.
The book begins by motivating the need for understanding
quantitative technique with a brief discussion of financial
mathematics and financial literature review. Preliminary concepts
including geometric expansion, elementary statistics, and basic
portfolio techniques are introduced in chapters 2 and 3. Chapters 4
and 5 present matrix mathematics and differential calculus applied
to yield curves, APT, state preference theory, binomal option
pricing, mean-variance analysis, and other applications. Integral
calculus and differential equations follow in chapter 6. The rest
of the book covers applications of probability, statistics and
stochastic processes as well as a sampling of topics from numerical
methods used in financial analysis.
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