Introduction to the Mathematics of Financial Derivatives

Book Description

This popular text, publishing Spring 1999 in its Second Edition, introduces the mathematics underlying the pricing of derivatives. The increase of interest in dynamic pricing models stems from their applicability to practical situations: with the freeing of exchange, interest rates, and capital controls, the market for derivative products has matured and pricing models have become more accurate. Professor Neftci's book answers the need for a resource targeting professionals, Ph.D. students, and advanced MBA students who are specifically interested in these financial products. The Second Edition is designed to make the book the main text in first year masters and Ph.D. programs for certain courses, and will continue to be an important manual for market professionals.

Customer Reviews:

Good Companion Book.......2007-08-29

good companion book for the other book "Principles of Financial Engineering" by the same author
Clear and easy to understand treatment. The author does not assume a high level of math knowledge of the reader.

Good book.......2007-05-09

As title states this is a good Introduction to the mathematics of derivatives.
If you're looking for some book with C/C++/C#/Java code samples this isn't the book. Indeed a good mathematical introduction; its pre-requirements are a good mathematical and statistical ones.

Very thoughtful and clear explanation of financial math.......2007-02-05

I turn to this book after I get frustrated with Tomas Bojork's book "Arbitrage Theory in Continuous Time." As I am not from a strict math background, this Neftci's book makes much more sense to me. What I particularly like about this book is explanation in plain English of why the mathematical formulae are so, and how they are connected to the bigger picture. Also Neftci has a good grasp of how many real-life examples included in this book so that it doesn't lose its focus on the real math in finance.

sophisticated maths.......2006-06-16

Neftci takes us on a mathematically sophisticated tour of financial derivatives. The treatment is on a level akin to a senior-level undergrad text on physics or engineering. Indeed, to a reader who might come from that background, there will be a lot of similarities and familiar ideas.

For example, partial differential equations arise naturally in the pricing of derivative assets. But unlike many places in physics, here it is not sufficient to assume smoothly varying variables. The inherently discrete nature of most financial variables means that derivatives have to be approximated numerically.

Neftci also describes the various types of options, like basket, knock-out, multi-asset and so on. Each has a slightly different modelling. Another key idea involves the time aspect of pricing. So Wiener processes naturally arise, and the text shows how to handle these.

Much more is covered in the book. Perhaps just as importantly, it gives you enough maths preparation that you should be able to analyse other new types of financial instruments. Maybe even ones that you create yourself.

Remarkable Introduction to Serious Math, Serious Finance, and Real-World Applications.......2006-06-14

Neftci's book is easily grouped into a large number of texts that provide graduate level (considerable more rigorous than the MBA version) introductions to mathematical finance. Some are written for MBA with want to be exposed to as little math as possible without short changing the financial and valuation aspects and with considerable attention to a broad range of financial products and applications (Hull's classic comes to mind). Others are extremely implementation driven and are more a hybrid of finance and computer programming (Duffy, London, Wilmont). Still others are math books that speak above the heads of almost all practitioners and cover the finance topics poorly (or not at all).

Netfci's book is a rare gem in this field. Excellent coverage of financial topics and fundamentals (Arbitrage Theorem, Forwards Futures, Equity Derivatives, Interest Rate Derivatives), serious graduate level review of financial math and mathematical techniques (Probability, Numeric Processes, Binomial Methods, Stochastic Calculus, Finite Difference, Martingales, Monte Carlo methods), and applications (Bond Pricing, Term Structure Modeling, Exotic Options, Rare Event Modeling).

Best of all, it start assuming very little, builds aggressively, and progresses logically.

The biggest drawbacks are a lack of coverage for credit modeling and credit derivatives, Merton-model and contingent claim models for distressed equity, and more common financial engineering applications (hedging, rebalancing).

It is also remarkable well-written.

History: Fiction or Science? (Chronology, No. 1)

Average customer rating:

Calculations are only as good as your numbers
Pants on fire?
Accepted History & Chronology Must Be Changed.
Very Interesting
History as Science Fiction

History: Fiction or Science? (Chronology, No. 1)
Anatoly Fomenko
Manufacturer: Mithec
ProductGroup: Book
Binding: Paperback

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ASIN: 2913621058

Book Description

Recorded history is a finely-woven magic fabric of intricate lies about events predating the sixteenth century. There is not a single piece of evidence that can be reliably and independently traced back earlier than the eleventh century. This book details events that are substantiated by hard facts and logic, and validated by new astronomical research and statistical analysis of ancient sources.

Customer Reviews:

Calculations are only as good as your numbers.......2007-08-03

Yes, we can all agree that mainstream history is nearly 100% BS due to politics, economics, ego, problems with dating techniques, and various conspiracies. Agreed. But, I've been researching the distinct possibility that human history (in terms of civilizations) are much more ancient than we've been told, so coming across this book was very interesting to me. I wondered how Fomenko could be wrong (if at all) because he is very persuasive in his presentations. Then it dawned on me. If at previous times in prehistory, due to the various catastrophies that are well documented (comets, asteroids, planetary disruptions, plasma discharge, pole reversals, etc) the Earth was in a different position in relation to the sun, different tilt on its axis, different orbit, different rotation (in terms of velocity and DIRECTION), and the continents were in different positions, then would this not cause the ancients to see the sky (constellations) differently? In other words, is Fomenko making erronious assumptions about the physics of the Earth in pre-history, which then corrupt his data with regards to dating the relevant astrology? The last event to seriously disrupt our planet occured roughly 3500 years ago, according to other good researchers, so is it possible Fomenko has been confused by this? The vastly different physics of our planet in the not so distant past may explain this confusion, which is not to say the "mainstream" version of history is correct; on the contrary. I am not an expert in these fields, but wanted to see if this idea could spark discussion.

Pants on fire?.......2007-07-19

Will people ever read before spamming? Yes, Jesuits could not rewrite world history alone, they had help. Anyway, Dr Prof Acad A.Fomenko does not point to jesuits as the driving force of world wide history manipulation in published volumes 1,2,3;, actually he barely mentions the poor devils. Check it with 'Search inside' feature, please. China is rarely mentioned either, in fact, Dr Fomenko is completely eurocentric. Right, his theory contradicts all mainstream schools of history, because in their actual state they are all built on blatantly erroneus chronology. You don't need a mysterious cabal (conspiracy) to falsify history, the falsification is its modus operandi. It is inherent to history(ians) to falsify (distort) events, as it is inherent to humans to boast as it is inherent to power (authority) to legimize itself by referrring to glorious past made to its own order. Dr Prof Fomenko and team have identified scores of instances of such manipulation in Russian, European, etc.. history, and delivered valid statistical proof thereof. His own 'reconstruction' is completely another story. Forget c14 as a valid method of dating. W.Libby has initially discovered a brilliant method of INDEPENDENT dating. Too bad, c14 method has become a joke after a forced marrige with dendrochronology with consensual chronological scale inbuilt. Radiocarbon method can't stand blind tests, but is so very productive as a rubberstamp.

Accepted History & Chronology Must Be Changed. .......2007-04-09

There is no doubt that history as most know it is a sham, & institution's version of History both University & Church is fradulent & inaccurate. Everything was established with an agenda, The real "Dark Ages" are now when we have access to incredible amounts of information past authorities & more important 'common folk' didn't have but our institutions & educators are slow to evolve because of what has ignorantly & arrogantly been taught for too long. This is on many subjects not just Chronology.

For anyone to question "Why would a Mathematician have anything credible to say of History?" The answer is from Dr. Fomenko's preface in the book: "It would be worthwhile to remind the reader that in the XVI-XVII century Chronology was considered to be a subdivision of Mathematics." These volumes could possibly be some of the most important works to date & should be read by everyone with an interest in History, especially professors & educators who have a duty to the public. I have read both books & must say that 'Chronology 1' has some very eye opening & revolutionary information. Even if these volumes are part true the implications are profound & opens the doors to further investigations & questions which must be done. I speak several different lanquages & must say the logic Dr. Fomenko uses with "inflection" of words & words being read from left to right in one region & right to left in another then written backwards, the removal of vowels & get down to basics of words, or different cities & locations having the same name etc. is correct. Vowel usage has always been optional & varied, actually complicating linquistics & study. The first thing one has to understand is that words never had a fixed spelling in history like we do now, the spelling of words was mutable & regional, as well as names & titles of people were vast, varied & changed, NOTHING WAS FIXED or understood linear. Matters of Life & Death as well as financial profiteering yesterday & today were & are made with ignorant, illogical & conspiratorial views of history & reality, it's time people get closer to the Truth & society collectively grow up.

Very Interesting.......2007-03-07

It is a good proposal and I believe it will mature into something even better in the future. I think it deserves to be read.

History as Science Fiction.......2007-01-10

Anatoly Fomenko has written a very intriguing book, full of pictures, charts, and computer 'proof' of his thesis: backwards of AD900 we don't really know what happened or when. Between AD900 and AD1600 there is more certainty, but there is still a lot of fuzzy ground, and things don't get reliable until we get past the 1600's where the printing press made it very difficult for the perpetrators of this timeline manipulation to change anything that had been committed to print. The Dark Ages did not happen. Books were burned for a reason. One organization has doubled the actual length of its existence by expanding the real chronology. Read why.

I had always wondered why Christ died about AD33 and yet men waited until the 11th century to form the Knights Templar, the Cathars, etc and go after the Holy Land by force. Why the 1000 year gap? Turns out there wasn't more than a 10-12 year gap and he proves it using astronomy. This also implies that the planet is not as old as we have been told, and current Christian and other creationist scientists are already championing that idea without being aware of Fomenko's book. The two groups, creationist scientists and the Russian mathematical analysts corroborate each other. Fascinating.

Of course, all this flies in the face of what we have been told traditionally is the 'proper' chronology of western civilization, and most readers will experience 'cognitive dissonance' in reading this book. It means that our history going backwards from AD1600 becomes progressively more incorrect and unreliable until it cannot be trusted at all... in the space of 700-800 years.

Naturally, the curious, open-minded reader will want to know WHO did this, WHY, and did any of the events we think of as really ancient ever happen?
Dr. Fomenko is a respected scientist/mathematician at Moscow State University who has already answered these questions to the satisfaction of his initially skeptical colleagues. Most of them are now believers, a few still refuse to believe (the usual diehards), and of course the western press has ignored Fomenko's work -- for obvious reasons when you read the book. The ones who perpetrated this chronology ruse have a lot to answer for. They are still with us. That's why this book is a well-kept secret.

I gave the book a 4-star rating because I was unable to check out some of his claims; those I checked were as he said. But if even 1/3 of his claims are true, this punches a big hole in what we think is our history, the meaning of western civilization, our educational process (for repeating the ruse as gospel), and the trustworthiness of the organization that perpetrated this ruse, well-intentioned or not.

This book relates to current research into a Young Earth paradigm, to John Keel's discoveries about our planet, and Fr Malachi Martin's insights (in his now out-of-print books). We are indeed sheep who are manipulated and kept ignorant -- for a reason. While knowing what these men have to say may be the "booby prize" (as in: 'what can you do with this knowledge?'), it will provide interesting reading. Didn't someone say: "...and the Truth will set you free."?? For you to judge if this book contains the truth.

Average customer rating:

The Bible
Not helpful
A good book on VaR
A Smart Book
no words needed - just buy it!

Value-at-Risk: Theory and Practice
Glyn A. Holton
Manufacturer: Academic Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0123540100

Book Description

Value-at-risk (VaR) is a measure of market risk that has been widely adopted since the mid-1990s for use on trading floors. This is the first advanced book published on VaR. It describes how to design, implement, and use scalable production VaR measures on actual trading floors. It takes readers from the basics of VaR to the most advanced techniques, many of which have never been published in book form.

Practical, detailed examples are drawn from markets around the world, including: Euro deposits, Pacific Basin equities, physical coffees, and North American natural gas.

Real-world challenges relating to market data, portfolio mappings, multicollinearity, and intra-horizon events are addressed in detail. Exercises reinforce concepts and walk readers step-by-step through computations.

Sophisticated techniques are fully disclosed, including: quadratic ("delta-gamma") methods for nonlinear portfolios, variance reduction (control variates and stratified sampling) for Monte Carlo VaR measures, principal component remappings, techniques to "fix" estimated covariance matrices that are not positive-definite, the Cornish-Fisher expansion, and orthogonal GARCH.

* First advanced text on Value-at-Risk
* Practical, detailed examples drawn from markets around the world
* Exercises reinforce concepts and walk readers step-by-step through computations

Customer Reviews:

The Bible.......2006-03-30

I work in finance as a software developer. I had done some work with risk management and had read Jorion's book and Butler's. When I had to do my own VaR implementation, a colleague recommended Holton's book. It is amazing. The level of domain expertise is above anything else out there. It is sophisticated and well written. I thought I knew about VaR before reading Holton, but I didn't really. Now I know about VaR.

I noticed that someone has been posting negative reviews of the book here on Amazon. Those reviews are blatantly dishonest. I assume they are posted by a jealous competing author.

Holton is the bible.

Not helpful.......2005-06-27

This book looks good only at first sight. However, try and solve the exercises and you see there is more to VaR than the author wants us to believe. This book is too incoherent to be of any use. Just take a look at the index: A lot of things are introduced but are never used again later in the book. This makes me wonder why they were introduced at all. Some examples from the index: Hessian, GARCH, Markov process, etc.
The biggest fault however in my opinion is the treatment of Monte Carlo, the most essential tool for VaR calculation: Condensed in roughly 30 pages compared to roughly 110 pages for mathematical preliminaries and probability cannot cater to the same audience.

A good book on VaR.......2005-06-25

A good book on VaR, but finally lost its charming. Incomplete and solved cases in a pathetic manner. Theory: 80%, Practice: 10%, pathetic exercises 10%. This book doesn?t reflect its complete main purpose: theory and practice. I would choose mastering Value at Risk by Cormac Butler and Value At Risk by Jorion. My rate is 2 stars. Do it again. Don?t forget solved cases in spreadsheets.

A Smart Book.......2005-06-08

There are plenty of elementary books on VaR. This is an exception. It is a smart book for practitioners. It covers practicalities such as data cleaning, day counts and modeling intra-horizon events. It explains cutting-edge theory such as quadratic VaR, variance reduction techniques and holdings remappings. It introduces all the mathematics you need to know.

The prerequisites are modest -- about the same as for John Hull's book "Futures, Options and Other Derivatives." Holton does use some more advanced concepts, such as the Cornish-Fisher expansion or moment generating functions. He explains all of these before using them. Actually, he goes out of his way to make the mathematics accessible, devoting several chapters to explaining essential concepts. There are chapters on probability, statistics, the Monte Carlo Method, etc. Later in the book, whenever technical concepts come up, you will find an accompanying reference to an explanation in one of the earlier mathematics chapters. In this regard, the book is wonderfully self contained!

The author does make extensive use of matrix notation. This may take some getting used to if your background in linear algebra is limited, but it is worth it. Formulas that would be extremely complicated become simple when expressed with matrices. The author's notation is intuitive and used consistently throughout the book. If you see a symbol on page 10, it is going to mean exactly the same thing on page 310.

If you are serious about value-at-risk, this is the book to read.

no words needed - just buy it!.......2005-01-18

the ultimate resource for VAR theory and practice.
excellent writing, math and all.
don't spend time and money elsewere, just buy it!!

Credit Risk Modeling: Theory and Applications (Princeton Series in Finance)

Average customer rating:

This book is too quick for an introduction
Not bad at all...
A casual collection of models without sound understanding
A book for those who think Robert Jarrow is a lightweight!

Credit Risk Modeling: Theory and Applications (Princeton Series in Finance)
David Lando
Manufacturer: Princeton University Press
ProductGroup: Book
Binding: Hardcover

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ASIN: 0691089299

Book Description

Credit risk is today one of the most intensely studied topics in quantitative finance. This book provides an introduction and overview for readers who seek an up-to-date reference to the central problems of the field and to the tools currently used to analyze them. The book is aimed at researchers and students in finance, at quantitative analysts in banks and other financial institutions, and at regulators interested in the modeling aspects of credit risk.

David Lando considers the two broad approaches to credit risk analysis: that based on classical option pricing models on the one hand, and on a direct modeling of the default probability of issuers on the other. He offers insights that can be drawn from each approach and demonstrates that the distinction between the two approaches is not at all clear-cut. The book strikes a fruitful balance between quickly presenting the basic ideas of the models and offering enough detail so readers can derive and implement the models themselves. The discussion of the models and their limitations and five technical appendixes help readers expand and generalize the models themselves or to understand existing generalizations. The book emphasizes models for pricing as well as statistical techniques for estimating their parameters. Applications include rating-based modeling, modeling of dependent defaults, swap- and corporate-yield curve dynamics, credit default swaps, and collateralized debt obligations.

Customer Reviews:

This book is too quick for an introduction.......2006-05-14

I took a master level credit risk class with two assigned textbooks: this one and Quantitative Risk Management by McNeil et al. I love the second book more because it explains the fundamentals in a fabulous way; most of our lectures followed materials in McNeil's. As someone explained in another entry, Lando's book is like a survey book, which is very compact for a beginner.

Not bad at all..........2004-07-22

Contrary to other people, I have found the book very interesting and readable...The author is also referring to practical issues such as asset volatility estimation and CDO pricing..I think this book is more comparable to Bielecki-Rutkowsky kind of book, than to Schonbucher. It gives a good foundation of the theory, even if sometime I would have preferred to have more proofs of theorems.
Compact, readable and fairly complete.

A casual collection of models without sound understanding.......2004-07-20

The author briefly touched many models without quite understanding them himself (or checking their validity). Most of the text were collected (and rewritten) from reading the abstract or conclusion of the original papers. There is not enough insight or new info. It is absolutely not a book for someone who wants to learn because it is like a undergraduate's study report. If a book reviews many models, it should provide some insights, pros and cons of them, and at least some framework for other researchers to follow. It loses value if it merely rephrases some obvious and straghtforward assumptions of the original models.

I admire the author and the editor (Duffie) as researchers. However, the author is not ready yet to write a book of this kind and the editor has been a super star in finance, hence should not lower himself to this level for the sake of publication. This book does not provide useful info at all. Not good for a researcher or a practitioner (at all). Why not read the original papers' abstracts? That would be more informative.

A book for those who think Robert Jarrow is a lightweight!.......2004-07-02

Robert Jarrow praises this book! I think that tells you the level of this text. It's Ivy League Ph.D.-school material with inadequate background provided. I guess if you are already a director of research in an investment bank, this book provides a lucid and compact survey of the current state-of-the-art techniques of credit risk modeling. In short, this is a book written for people who already are comfortable with the subject at a very high level.

If you are a regular Schmoe like myself (someone comfortable at the Hull or Cuthbertson and Nitzche level) much of this book may zoom over your head. But if you regulary snicker at folks like me as derivatives dilatants and poseurs, I'd say check it out.

The book may be great. But for me it was a waste of money.

Book Description

As magnetic stripe cards are being replaced by chip cards that offer consumers and businesses greater protection against fraud, a new standard for this technology is being introduced by Europay, MasterCard, and Visa (EMV). This cutting-edge, new book provides you with a comprehensive overview of the EMV chip solution and explains how this technology provides a chip migration path, where interoperability plays a central role in the business model.

The book offers you a better understanding of the security problems associated with magnetic stripe cards, and presents the business case for chip migration. Moreover, it explains the implementation of multi-application selection mechanisms in EMV chip cards and terminals, and shows you how to design a multi-application EMV chip card layout. This first-of-its-kind resource also discusses the organizational and management issues in connection with the EMV chip migration and the use of EMV chip cards in e-commerce and m-commerce transactions. An excellent reference for today's IT/e-commerce professionals and post-graduate student alike, the book helps you fully understand this emerging, complex payment card technology.

Customer Reviews:

Not for Me........2006-02-28

This book is written for technical people. The overall tone is dull and pedantic. The contents will be difficult to follow for those who do not have mathematical or programming background.

Anyone who has an overall understanding of the EMV specifications will have very little use for the material in this book. There is nothing of note with respect to specific card schemes.

Business people can get much of the non-technical information in the book for free from other sources.

Strategic Trading in Illiquid Markets (Lecture Notes in Economics and Mathematical Systems)

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Strategic Trading in Illiquid Markets (Lecture Notes in Economics and Mathematical Systems)
Burkart Mönch
Manufacturer: Springer
ProductGroup: Book
Binding: Paperback

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ASIN: 3540250395

Book Description

This volume considers trading strategies in illiquid markets from three perspectives. The first chapter presents an innovative approach to investigate the interactions between the trading activities of a large investor, the stock price, and liquidity. The framework generalizes existing models by introducing a stochastic liquidity factor. The flexibility of the framework is illustrated by an application that deals with the pricing of a liquidity derivative. The second chapter focuses on a new pragmatic approach to determine optimal liquidation strategies if an investor uses market orders to unwind large security positions in an illiquid market. The third chapter devotes special attention to iceberg orders. It presents a parsimonious framework that allows to analyze the rationale for the use of this order type by assessing the costs and benefits of this trading instrument.

The Mathematics of Banking and Finance (The Wiley Finance Series)

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The Mathematics of Banking and Finance (The Wiley Finance Series)
Dennis Cox , and Michael Cox
Manufacturer: Wiley
ProductGroup: Book
Binding: Hardcover

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ASIN: 047001489X

Book Description

Throughout banking, mathematical techniques are used. Some of these are within software products or models; mathematicians use others to analyse data. The current literature on the subject is either very basic or very advanced.

The Mathematics of Banking offers an intermediate guide to the various techniques used in the industry, and a consideration of how each one should be approached. Written in a practical style, it will enable readers to quickly appreciate the purpose of the techniques and, through illustrations, see how they can be applied in practice. Coverage is extensive and includes techniques such as VaR analysis, Monte Carlo simulation, extreme value theory, variance and many others.

A practical review of mathematical techniques needed in banking which does not expect a high level of mathematical competence from the reader

Goal Programming Techniques for Bank Asset Liability Management (Applied Optimization)

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Goal Programming Techniques for Bank Asset Liability Management (Applied Optimization)
Kyriaki Kosmidou , and C. Zopounidis
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 1402081049

Book Description

Other publications that exist on this topic, are mainly focused on the general aspects and methodologies of the field and do not refer extensively to bank ALM. On the other hand the existing books on goal programming techniques do not involve the ALM problem and more specifically the bank ALM one. Therefore, there is a lack in the existing literature of a comprehensive text book that combines both the concepts of bank ALM and goal programming techniques and illustrates the contribution of goal programming techniques to bank ALM. This is the major contributing feature of this book and its distinguishing characteristic as opposed to the existing literature.

This volume would be suitable for academics and practitioners in operations research, management scientists, financial managers, bank managers, economists and risk analysts. The book can also be used as a textbook for graduate courses of asset liability management, financial risk management and banking risks.

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Private Banking: A Global Perspective
L. Weldon
Manufacturer: Woodhead Publishing, Published in Association With The Chartered Institute of Bankers
ProductGroup: Book
Binding: Hardcover

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Global Private Banking and Wealth Management: The New Realities (The Wiley Finance Series)

ASIN: 1855733285

Product Description

The first comprehensive professional guide to the workings and structure of the international private banking marketplace, this book details the services available, the key players, the distinctive characteristics of, pressure upon and trends within this traditionally very closed financial market. It begins with an analysis of the industry including an invaluable guide to private banking providers. The author then goes on to examine the profitability of private banking and then covers the structures and strategies which are necessary for private banking to work. The book concludes with an overview of the market trends and characteristics.

Frontiers of the New Institutional Economics

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Frontiers of the New Institutional Economics
John N. Drobak , and John V.C. Nye
Manufacturer: Academic Press
ProductGroup: Book
Binding: Paperback

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ASIN: 0122222407

Book Description

The New Institutional Economics incorporates a theory of institutions into economics. It builds upon the fundamental assumptions of scarcity and competition but abandons institutional rationality. Consequently, NIE assumes that individuals make choices based on incomplete information and limited mental capacity, forming institutions to reduce uncertainty in human exchange. These insights have implications for technological change, property rights, and public choice. The Frontiers of the New Institutional Economics presents new essays written specifically for this volume. These essays Provide an introduction to the nature and practice of the New Institutional Economics, with a special emphasis on economic history and political economy. Among the contributors are Nobel Prize winners Douglass North and Robert Fogel.

Key Features
* Contains essays by Nobel Prize winners Douglass North and Robert Fogel
* Presents a field of economics useful to students of political science and sociology.
* Applicable to studies of technological change, property rights, and public choice

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