The Mathematics of Finance has been a hot topic ever since the
discovery of the Black-Scholes option pricing formulas in 1973.
Unfortunately, there are very few undergraduate textbooks in this
area. This book is specifically written for advanced undergraduate
or beginning graduate students in mathematics, finance or
economics. This book concentrates on discrete derivative pricing
models, culminating in a careful and complete derivation of the
Black-Scholes option pricing formulas as a limiting case of the
Cox-Ross-Rubinstein discrete model.
This second edition is a complete rewrite of the first edition
with significant changes to the topic organization, thus making the
book flow much more smoothly. Several topics have been expanded
such as the discussions of options, including the history of
options, and pricing nonattainable alternatives. In this edition
the material on probability has been condensed into fewer chapters,
and the material on the capital asset pricing model has been
removed.
The mathematics is not watered down, but it is appropriate for
the intended audience. Previous knowledge of measure theory is not
needed and only a small amount of linear algebra is required. All
necessary probability theory is developed throughout the book on a
"need-to-know" basis. No background in finance is required, since
the book contains a chapter on options. "
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