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The Mathematics of Arbitrage |
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F. Delbaen and W. Schachermayer |
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2006 |
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Financial engineering
is rapidly becoming the most sophisticated application of mathematics,
outstripping even physics, which has traditionally held that
distinction. To my knowledge, no one has yet applied non-Euclidean
geometry to finance, but the development of the Fundamental Theorem of
Asset Pricing has spawned a renaissance in mathematical research into
stochastic calculus ...
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Empirical Dynamic Asset Pricing |
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Targeting
theoreticians, this is a book about fitting or assessing asset pricing
models based on empirical market data. It approaches the topic broadly,
addressing various equilibrium- and arbitrage-based models. Familiarity
with the theory behind these models is mostly assumed. The author
focuses on assessing, in light of available market data, the
reasonableness of the distributional assumptions those models imply ...
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Advanced Derivatives Pricing and Risk Management |
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C. Albanese and G. Campolieti |
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2005 |
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In a crowded field of
books on financial engineering, this one determinedly charts its own
course. There is nothing out there that is quite like it. The book arose
out of the authors' teaching experience. Their philosophy is that
financial engineering should be taught in a course with hands-on
projects ...
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Martingale Methods in Financial Modeling |
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Marek Musiela and Marek Rutkowski |
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2005 |
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This is an
advanced text on the mathematics of financial engineering. It grew out of
courses taught by the authors and is now in its second edition. The book is
divided into two parts. The first discusses financial engineering theory
generally, focusing on complete markets. The second part delves into interest
rate models, with detailed discussions of single factor models and the more
recent HJM "market models" ...
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American-Style Derivatives
Valuation and Computation |
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American style
derivatives are options and other derivatives that can be exercised any
time prior to expiration. Valuation of such derivatives is complicated
by the potential for early exercise and the fact that early exercise
will depend on the intrinsic value of the derivative exceeding its
market value. So the current market value depends on possible early
exercise, which depends on future market values ...
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Risk Neutral Valuation |
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N. H. Bingham and Rudiger Kiesel |
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2004 |
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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 ...
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Mathematics of Financial Markets |
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R. Elliott and P. Kopp |
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2004 |
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A number of books have
been published for graduate math courses in financial engineering. This
is one of them. It adopts a fairly standard approach of introducing
topics in discrete time and then returning to cover them in more
generality in continuous time. ...
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Stochastic Calculus for Finance
Volume 2 |
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This is the second volume of a two-volume
introduction to financial engineering.
Volume I covers concepts in discrete time. This second volume is the meat of
the subject, covering the mathematics and application of financial
engineering in continuous time. While not absolutely necessary, it will
be helpful to read Volume I before taking on Volume II ...
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Pricing and Hedging of Derivative Securities |
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If you want to learn the "stochastic calculus approach" to financial engineering, Nielsen is
an excellent text. This isn't an
intuitive watered-down
treatment. It is formal and meticulous for readers who want to really
master the material ...
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Introduction to
Stochastic Calculus Applied to Finance |
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D. Lamberton and B. Lapeyre |
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1996 |
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Expertly translated from the original French by N.
Rabeau and F. Mantion, this was one of the first advanced books to fully
embraced the "stochastic calculus" approach to financial engineering. It
doesn't ignore the "differential equations" approach. It actually has an
excellent chapter on that perspective that is well integrated into the
rest of the book ...
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