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Monte Carlo Methods in Finance, by Peter Jaeckel
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An invaluable resource for quantitative analysts who need to run models that assist in option pricing and risk management. This concise, practical hands on guide to Monte Carlo simulation introduces standard and advanced methods to the increasing complexity of derivatives portfolios. Ranging from pricing more complex derivatives, such as American and Asian options, to measuring Value at Risk, or modelling complex market dynamics, simulation is the only method general enough to capture the complexity and Monte Carlo simulation is the best pricing and risk management method available.
The book is packed with numerous examples using real world data and is supplied with a CD to aid in the use of the examples.
- Sales Rank: #1706213 in Books
- Published on: 2002-04-11
- Original language: English
- Number of items: 1
- Dimensions: 10.00" h x .80" w x 7.00" l, 1.30 pounds
- Binding: Hardcover
- 304 pages
From the Inside Flap
Monte Carlo Methods in Finance is an important reference for those working in investment banks, insurance and strategic management consultancy. Of particular importance are the many known variance reduction methods, and they are duly covered, not only in their own right, but also with respect to their potential combinations, and in the direct context of realistic applications. Most notably, the issue of the reliability of low-discrepancy numbers in high dimensions is discussed in detail. The book also contains an introduction to the theory of copulæ as an extension to the modelling of correlation of financial securities. An entire chapter is dedicated to the evaluation of interest rate derivatives in the Brace-Gatarek-Musiela/Jamshidian framework by the aid of fast-convergence Monte Carlo simulations. What's more, for the first time, this book also gives a description of the construction of non-recombining trees. Whilst non-recombining trees are usually not viable in a production environment, they often are the very tool of last resort when Monte Carlo approximations to problems such as Bermudan swaptions are to be tested, and the tricks for the construction of non-recombining trees presented in this book are invaluable for that purpose.
From the Back Cover
"There is no book on the market to compare with Dr Jäckel's. All the techniques, the tricks, the pitfalls of this important methodology are covered in detail and with great insight. This is no book on abstract theory, Dr Jäckel is a practitioner who has implemented every single one of these ideas. He has done all the hard work, so you don't have to." Paul Wilmott
"Few expert practitioners also have the academic expertise to match Peter Jäckel's in this area, let alone take the trouble to write a most accessible, comprehensive and yet self contained text. This book is a delight to read and contains a wealth of information that is essential for anyone involved with implementing Monte Carlo methods in finance." Professor Carol Alexander, ISMA Centre, University of Reading, UK
" This book is a very welcome addition to the growing literature on applied quantitative methods in finance. Dr Jäckel has done the field a service in combining both a thorough review of 'standard' material with techniques that were learned on the job as a quant at top financial institutions." Michael Curran, Quantin' Leap
Based on the author's own experience, Monte Carlo Methods in Finance adopts a practical flavour throughout, the emphasis being on financial modelling and derivatives pricing. Numerous real world examples help the reader foster an intuitive grasp of the mathematical and numerical techniques needed to solve particular financial problems. At the same time, the book tries to give a detailed explanation of the theoretical foundations of the various methods and algorithms presented.
Monte Carlo methods have been used in the financial community for many years for addressing complex financial calculations. Recent advances by both practitioners and academic researchers in the area of fast convergence methods, together with the improvements achieved by the manufacturers of computer hardware, make Monte Carlo simulations more and more frequently the method of choice. In this long needed book on modern Monte Carlo methods in finance, Peter Jäckel provides an introduction to many of the leading edge techniques available.
About the Author
Peter Jäckel currently works at Commerzbank Securities in London as a quant in the front office product development and derivatives modelling group. Prior to that he worked within the NatWest Group/Royal Bank of Scotland Quantitative Research Centre. He started his career in finance with his employment at Nikko Securities' London operation.
Most helpful customer reviews
63 of 70 people found the following review helpful.
Solid gold
By A Customer
Conflict of interest pervades the field of finance on every level including the intellectual level.
Often you might find books reviewed most favorably by
leading academic researchers to fall far short of the praise constituting a legal liability for the author's employer and
inducing a suspicion that the reviewer had material interests at stake.
For this reason we are grateful that Amazon has a liberal return policy. This book however you will not want to send back.
It hits the mark in several important aspects:
1. Level of detail.
The presentation is detailed enough for you to be able to translate the description into computer code but not so detailed that this step is immediate.
This allows an elegant and fluent style of writing.
Descriptions that are detailed enough to translate into code immediately almost certainly lack aesthetic qualities and one usually does not read them again them once the relevant information has been extracted. This is not the case here. I find myself browsing the material again after some algorithm has already been implemented and enjoying the experience.
The author has the ability to articulate complicated concepts clearly and without resort to heavy notation.
2. Mathematical rigour.
The mathematics is impeccable. In my own experience this can be said of fewer than 10% of the books in the field of finance.
The prerequisites are minimal. You have to know the most basic properties of Brownian motion (barely more than the definition)
and be familiar with the notion of a probability density.
Nonetheless several highly interesting subjects are treated in much detail (for example effective dimensionality reduction in conjunction with the application of low discrepancy sequences).
3. Choice of subject.
The techniques discussed are those used by leading investment banks. This is unsurprising since the author himself works at such an institution. The book is quite different from one devoted to Monte Carlo methods in physics, genetics or polymer science.
4. Physical appearance.
Page size, page layout, font selection and binding are all of high quality. The book has a wealth of diagrams communicating interesting information.
I love it and believe that you will too.
11 of 19 people found the following review helpful.
CD does not work
By Jorge A. Garza
It is a book for mathematics lovers not financial oriented profesionals. I would not recomend this book for those looking to gain more practical knowledge on this subject.
65 of 86 people found the following review helpful.
I can NOT follow the math and NO CODE!
By A Customer
You better already know the basics of Monte Carlo Simulation
to get anything out of the book.
I STRONGLY disagree with one reviewer who thinks
all one needs to know is :
1) The definition of Brownian Motion and
2) What a Probability distribution is.
FAT chance.
The book requires knowing Linear Algebra, Probability,
PDEs, Stochastic Modelling, and SDEs to be of any use.
Where's the CODE, baby!
There are very few examples put into code!
One reviewer on Amazon.com, says the book is so
detailed you don't need code. Funny, I have never
seen anything "so detailed" that an example (code)
would make the explanation less clear!
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