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Authors
of financial engineering texts face a quandary: how technical to make a book? It
is easy to alienate readers by being too technical, but it is just as easy to
write a fluff book that communicates nothing of substance. With this book,
authors Bingham and Kiesel have got the balance just right.
There is
a large population of fairly quantitative professionals entering finance. They
have degrees in math or physics. Maybe they have taken a few quantitative
graduate courses. Few are experts in functional analysis or stochastic calculus,
but they are sophisticated and would make excellent financial engineers—if only
they could make the transition. This is the book for them! It is mathematically
rigorous but with a practical, reader-oriented focus. Results are expressed
formally as mathematical theorems, but the authors skip most proofs. The
narrative moves along at a nice clip, so you never get bogged down in minutia.
An opening chapter discusses topics in modern
finance. An emphasis on arbitrage lays the groundwork for pricing concepts in
subsequent chapters.
The next five chapters develop stochastic
calculus and financial engineering theory. This is the meat of the book.
Concepts are developed first in discrete time and then in continuous time, which
is excellent for building intuition.
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1. Derivative background
2. Probability background
3. Stochastic processes in discrete time
4. Mathematical finance in discrete time 5.
Stochastic processes in continuous time 6.
Mathematical finance in continuous time 7.
Incomplete markets
8. Interest rate theory
9. Credit risk
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The final three chapters explore more specialized
topics:
incomplete markets
interest rate models, and
modeling credit risk.
While this is a book about theory, it is
theory with a practical bent. The authors present financial engineering as it is
used today—on real trading floors. Their comparison of the LIBOR market model
and the swap market model will appeal to users. Another feature I
really like is brief historical sections that describe the origins of
mathematical and financial engineering concepts. That historical context lends
relevance to the theory.
Who is the book for? Almost anyone who has
a strong background in math and wants a command of financial engineering theory.
The book is technical but not too technical. I give it a technical rating of
, but it is
at the easier end of that rating. You don't need to know measure theory or stochastic
calculus to read this book, but some exposure to them will be invaluable. The
style of writing will be familiar to anyone who has ever taken a graduate level
math course. If you ever have, I think you will find the book very accessible.
In a nutshell,
Bingham and Kiesel cover rigorously what
books such as Baxter and Rennie (1996),
Neftci (2000) or Joshi (2003)
do intuitively. If you have the math background, you will
love this book!
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