Showing posts with label numerical methods. Show all posts
Showing posts with label numerical methods. Show all posts

Numerical Methods in Finance and Economics: A MATLAB-Based Introduction (Statistics in Practice) Review

Numerical Methods in Finance and Economics: A MATLAB-Based Introduction (Statistics in Practice)
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I am using this as a secondary reference for a half-semester Matlab and Optimization course and it has been invaluable. The writing is crystal clear, the examples and code are pretty close to perfect for every section. The author writes in a very intuitive fashion and of the sections I have covered I don't think I have been lost or confused once, which in this field is uncommon.
This is not really an introductory book for finance and if you read the preface, Brandimarte does explain that the book complements and does not replace more specific texts. I have been seen most of the material in this book covered in at least a cursory fashion in my Financial Engineering program and it makes a difference, so I would recommend that you are familiar with the material covered in Hull's "Options, Futures and Other Derivatives" or Neftci's "Principles of Financial Engineering" and Neftci's "Introduction to the Mathematics of Financial Derivatives" or similar texts.
You also won't be able to get away without having at least some intermediate level linear algebra. You don't have know it well but concept such as conditioning, LU and cholesky factorization should ring a bell. On the other hand some topics such as optimization I feel are covered very solidly. I am using "Optimization Methods in Finance" by Cornuejols and Tutuncu and although it is a great book I have to say that the examples in Brandimarte's book are much better and more intuitively explained, although clearly not in the same detail.
My only gripe with the book is that he tends to use code from the toolboxes, which can be inconvenient if you are student and only have the student version at home. Most of the time he builds the code from scratch but he uses toolbox code enough that it is annoying.

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A state-of-the-art introduction to the powerful mathematical and statistical tools used in the field of financeThe use of mathematical models and numerical techniques is a practice employed by a growing number of applied mathematicians working on applications in finance. Reflecting this development, Numerical Methods in Finance and Economics: A MATLAB?-Based Introduction, Second Edition bridges the gap between financial theory and computational practice while showing readers how to utilize MATLAB?--the powerful numerical computing environment--for financial applications.The author provides an essential foundation in finance and numerical analysis in addition to background material for students from both engineering and economics perspectives. A wide range of topics is covered, including standard numerical analysis methods, Monte Carlo methods to simulate systems affected by significant uncertainty, and optimization methods to find an optimal set of decisions.Among this book's most outstanding features is the integration of MATLAB?, which helps students and practitioners solve relevant problems in finance, such as portfolio management and derivatives pricing. This tutorial is useful in connecting theory with practice in the application of classical numerical methods and advanced methods, while illustrating underlying algorithmic concepts in concrete terms.Newly featured in the Second Edition:* In-depth treatment of Monte Carlo methods with due attention paid to variance reduction strategies* New appendix on AMPL in order to better illustrate the optimization models in Chapters 11 and 12* New chapter on binomial and trinomial lattices* Additional treatment of partial differential equations with two space dimensions* Expanded treatment within the chapter on financial theory to provide a more thorough background for engineers not familiar with finance* New coverage of advanced optimization methods and applications later in the textNumerical Methods in Finance and Economics: A MATLAB?-Based Introduction, Second Edition presents basic treatments and more specialized literature, and it also uses algebraic languages, such as AMPL, to connect the pencil-and-paper statement of an optimization model with its solution by a software library. Offering computational practice in both financial engineering and economics fields, this book equips practitioners with the necessary techniques to measure and manage risk.

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Strategic Asset Allocation in Fixed Income Markets: A Matlab based user's guide (The Wiley Finance Series) Review

Strategic Asset Allocation in Fixed Income Markets: A Matlab based user's guide (The Wiley Finance Series)
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Quoting the Soviet worker who wrote to The Pravda to condemn "Dr. Zhivago": "I have not read the book, but I deplore it". The table of contents left me puzzled. Term-structure models are dealt with over just 18 pages - this seems to satisfy all the five-star reviewers - after nothing more than fixed-income basics, there's talk of CAPM (is that the proposed approach to fixed-income asset allocation?), a why-these-particular-topics foray into econometrics, and some novice-oriented Matlab content. (GUIs?) I am struggling to see the book as a credible reference on the subject of its title.


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Matlab is used within nearly all investment banks and is a requirement in most quant job ads. There is no other book written for finance practitioners that covers this
Enables readers to implement financial and econometric models in Matlab
All central concepts and theories are illustrated by Matlab implementations which are accompanied by detailed descriptions of the programming steps needed
All concepts and techniques are introduced from a basic level
Chapter 1 introduces Matlab and matrix algebra, it serves to make the reader familiar with the use and basic capabilities if Matlab. The chapter concludes with a walkthrough of a linear regression model, showing how Matlab can be used to solve an example problem analytically and by the use of optimization and simulation techniques
Chapter 2 introduces expected return and risk as central concepts in finance theory using fixed income instruments as examples, the chapter illustrates how risk measures such as standard deviation, Modified duration, VaR, and expected shortfall can be calculated empirically and in closed form
Chapter 3 introduces the concept of diversification and illustrates how the efficient investment frontier can be derived - a Matlab is developed that can be used to calculate a given number of portfolios that lie on an efficient frontier, the chapter also introduces the CAPM
Chapter 4 introduces econometric tools: principle component analysis is presented and used as a prelude to yield-curve factor models. The Nelson-Siegel model is used to introduce the Kalman-Filter as a way to add time-series dynamics to the evolution of yield curves over time, time series models such as Vector Autoregression and regime-switching are also presented
Supported by a website with online resources - www.kennyholm.com where all Matlab programs referred to in the text can be downloaded. The site also contains lecture slides and answers to end of chapter exercises


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Numerical Models for Differential Problems (MS&A) Review

Numerical Models for Differential Problems (MSandA)
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Written by one of the leading figures in the field of variational methods and numerical mathematics, this book is an invaluable reference for graduate students and researchers working in the field of Galerkin methods. It is written by a mathematician, with the formalism proper of a mathematician; it may thus appear somewhat cumbersome if the reader is seeking an applied insight of the finite element method. However, the inclined engineer/scientist/mathematician will find its formalism an important ingredient to deeply understand the theory behind the method, although built in a very understandable language.
The books covers different types of Galerkin schemes, with special attention to finite elements and spectral elements, and a bit on the finite volume and finite difference methods. It should be considered by those who are willing to make an intellectual effort to understanding the theory of finite elements, but should be avoided by those expecting a book that could help with their practical implementation --some implementation issues are introduced in the context of object-oriented programming, but it may not be enough for beginners. This is the translation of the original Italian edition: Modellistica Numerica per Problemi Differenziali.

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In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.

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Climate System Modeling Review

Climate System Modeling
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This book you can use to get a really good picture of what climate modelling really is. You should be somewhat into your studies and not a first year student.The book covers virtually every topic that is important if you want to build your own climate model.Do not try this, though; your PC cannot work with all the subsystems that are described in the volume. Following Schneiders 1982 book this is really guff!

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Biological Modeling and Simulation: A Survey of Practical Models, Algorithms, and Numerical Methods (Computational Molecular Biology) Review

Biological Modeling and Simulation: A Survey of Practical Models, Algorithms, and Numerical Methods (Computational Molecular Biology)
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If you want to have working knowledge (with theoretical background) but do not have much time to take all related classes, then this book should be a good place to start. Exposition of concepts is akin to real biological problems. Many pseudo-codes are directly implementable within one or two hours. I recommend this especially for those who are not familiar with scientific programming since it teaches how to approach scientific problems. Although the book is meant to summarize related methods but each section covers enough details with clear explanation.

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A practice-oriented survey of techniques for computational modeling andsimulation suitable for a broad range of biological problems.

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Modeling MEMS and NEMS Review

Modeling MEMS and NEMS
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This is among the finest books for modeling MEMS. Most other books give a mish-mash of fabrication and modeling, but you never figure out how to model!! This one is different. This is the gold standard for MEMS books to come.. I picked it up along with many other MEMS books from the library, never thought I would use it, but this is the ONLY book I use. Good even for the the advanced MEMS designer as a quick reference. But great for a new reader who wants to grasp the fundamental of modeling.

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Designing small structures necessitates an a priori understanding of various device behaviors. The way to gain such understanding is to construct, analyze, and interpret the proper mathematical model.Through such models, Modeling MEMS and NEMS illuminates microscale and nanoscale phenomena, thereby facilitating the design and optimization of micro- and nanoscale devices. After some introductory material, a review of continuum mechanics, and a study of scaling, the book is organized around phenomena. Each chapter addresses a sequence of real devices that share a common feature. The authors abstract that feature from the devices and present the mathematical tools needed to model it. They construct, analyze, and interpret a series of models of increasing complexity, then at the end of the chapter, they return to one of the devices described, apply the model to it, and interpret the analysis.In the beginning, the world of microdevices was dominated by experimental work and the development of fabrication techniques. As it matures, optimization and innovative designs are moving to the forefront. Modeling MEMS and NEMS not only provides the practical background and tools needed to design and optimize microdevices but it also helps develop the intuitive understanding that can lead to developing new and better designs and devices.

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Modeling Dynamic Climate Systems (With CD-ROM) Review

Modeling Dynamic Climate Systems (With CD-ROM)
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This book aims to teach about climate modeling while presenting some fundamentals of atmospheric physics by providing numerous STELLA models ranging from a simple stability model of a leaky bucket to much more complex (and relevant) models for Rossby waves and El Nino. Though the models are not "rigorous", they are intended to show how simplifications can enhance understanding and how some simplifications meet the goals of the model while other times simplifications miss important aspects for accurate models.
For those who are looking for sophisticated programing and modeling approaches, they are sure to be disappointed. However, for those who are either trying to learn or teach basics of climate modeling to those with limited mathematical expertise or teaching students with such limited experience, this book will prove quite useful. The approximately 40 STELLA models included with the book guide the reader to an intuitive understanding of an Earth system approach of atmospheric science. I plan to use a number of examples with a group of students who have only a simple calculus background. Though the text has a 2001 copywrite and the CD-ROM was intended for an earlier version of STELLA, I found that the models could be translated to the newest versions of STELLA on a Macintosh through a fairly simple manipulations and help from software updates provided by High Performance Systems. The text would be useful for junior level classes in atmospheric science aimed at students in environmental science programs. It would be less useful for those with strong math skills majoring in a rigorous atmospheric science sequence, though it could provide such students with a much better conceptual understanding than they might receive in a more mathematically sophisticated class.

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In the process of building and using models to comprehend the dynamics of the atmosphere, ocean and climate, the reader will learn how the different components of climate systems function, interact with each other, and vary over time. Topics include the stability of climate, Earths energy balance, parcel dynamics in the atmosphere, the mechanisms of heat transport in the climate system, and mechanisms of climate variability. Special attention is given to the effects of climate change. The book is accompanied by a cross-platform CD-ROM containing models and a run-time version of STELLA modeling software.

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Modeling and Simulation in Scilab/Scicos with ScicosLab 4.4 Review

Modeling and Simulation in Scilab/Scicos with ScicosLab 4.4
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The book "Modeling and Simulation with Scilab/Scicos"
is well written and understandable to
readers with the basic signal processing and programming
background.
The reader can refresh/improve the knowledge of
some basic control theory material, while at the
same time learns how to apply Scilab/Scicos at simulation and
modeling problems.
I worked with Matlab for many years before and I found
Scilab/Scicos a very powerful alternative to Matlab/Simulink
and is free!
I recommend strongly this book to any scientist/engineer that
plans to explore the benefits of the excellent open
source Scilab/Scicos environment.

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Scilab and its Scicos block diagram graphical editor, with a special emphasis on modeling and simulation tools. The first part is a detailed Scilab tutorial, and the second is dedicated to modeling and simulation of dynamical systems in Scicos. The concepts are illustrated through numerous examples, and all code used in the book is available to the reader.

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Simulation and Optimization in Finance + Website: Modeling with MATLAB, @Risk, or VBA (Frank J. Fabozzi Series) Review

Simulation and Optimization in Finance + Website: Modeling with MATLAB, @Risk, or VBA (Frank J. Fabozzi Series)
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Prof.Pachamanova has written one of the best introductions to Simulation and Optimization methods in finance. This book provides a strong theoretical foundation and the website provides a lot of cases and useful hands-on exercises to apply and understand the concepts explained in the book. This book is highly recommended for business and engineering students who are interested in a career in the quantitative finance industry. This book is also recommended to new entrants to the quant finance industry and to financial practitioners who primarily use Excel for quantitative modeling but are interested in building more rigorous models using VBA, @RISK and MATLAB.
This book has the optimal combination of theory and practice. It starts out with a through introduction to statistics, finance and optimization concepts. In the second part, the book describes portfolio optimization theory and applications in equity and fixed income markets. The third part focuses on asset pricing models discussing classical and dynamic models. The fourth section mainly focuses on derivative pricing and provides a very good introduction to Monte-Carlo simulation methods. Topics of current interest such as pricing MBS products are also described in this section. Part five focuses on capital budget decisions and has a very good introduction to real options. The Software hints in each chapter and the supplementary materials on the website help students and practitioners to immediately try out examples and fortify their knowledge.
Prof.Pachamanova's didactic approach and the vast coverage of topics makes this book a must have for new quantitative analysts, business students and engineers interested in a career in finance. As a Financial Modeling consultant who works at MathWorks (the maker of MATLAB), I get a lot of questions on recommendations for books to apply financial theory using computational tools. This book is a gem and would makes great addition to your quantitative investing library.
Full Disclosure: I took a Statistics class with Prof.Pachamanova during my MBA program at Babson College

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Introduction To Three-dimensional Climate Modeling Review

Introduction To Three-dimensional Climate Modeling
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While this isn't a complete introduction, and while it may inevitably be slightly out of date, this is nonetheless the best introduction to climate modeling I've found. It presents the primary methods, and discusses the accomplishments and shortcomings of the field honestly (if at times a bit defensively).
There are clear limitations to climate modeling. For anyone with training in more mainstream Artificial Intelligence techniques, it's very uncomfortable to "test on the training data," which is exactly what climate modelers must do (i.e., they must run their models on the recent past, and if their models don't perform well on it, they will be tweaked until they do--effectively "cheating" because fidelity to the recent past is obviously no indication of predictive power if you tweak the model specifically to work on the recent past). Much of the uncertainty comes from sub-grid interactions that must be parameterized. For example, the formation of clouds is still an area of great uncertainty, and yet has an enormous effect on the climate. The authors recognize this issue, and identify it as a field where future research should focus.
On the other hand, climate modeling has been extremely useful as an inspiration to the imagination, and in working out the logical implications of what we currently believe to be true (both through those things that can be tested in a lab, like the absorption spectrum of carbon dioxide, or those that need to be parameterized, like cloud formation). We can't predict the future, but models allow us to get a sense of what may happen.
The authors discuss all of this, and illustrate it throughout. Of course, as scientists who have spent their lives in climate modeling, they are as supportive of climate modeling as one might expect. But they are also good scientists, and therefore open about the shortcomings.
In short, I'd recommend this book to anyone who wants an introduction to climate modeling. It's a fascinating and important subject that more people should know more about.

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This book provides an introduction to the development of three-dimensional climate models, including their four major components: atmosphere, ocean, land/vegetation, and sea ice. The fundamental processes in each component and the interactions among them are explained using basic scientific principles, and elements of the numerical methods used in solving the model equations are also provided. The authors show how the theory and models grew historically and how well they are able to account for known aspects of the climate system. This book is written so that a reader who is only vaguely aware of climate models will be able to gain an understanding of what the models are attempting to simulate, how the models are constructed, what the models have succeeded in simulating, and how the models are being used. Examples illustrating the use of the models to simulate aspects of the current climate system are followed by examples illustrating the application of the models to important scientific areas such as understanding paleoclimates, the last millennium, the El Nino/Southern Oscillation, and the effects of increasing greenhouse gas concentrations on future climate change. The book is appropriate for scientists, graduate students, and upper-level undergraduates and can be used as a textbook or for self study and reference. The authors have considerably updated the book from the first edition by adding descriptions of many techniques and results developed since the mid-1980s.

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Dynamic Modeling and Control of Engineering Systems Review

Dynamic Modeling and Control of Engineering Systems
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A great introduction to control theory.However, it would help if you know something about differential equations. I read Ogata's book on control (over 900 pages) from cover to cover twice and still could not figure out exactly what state variables are. This book explains things very well but you do need to do the problems at the end of each chapter. The use of "free-body" diagrams is a great idea.Ogata's book is great for explaining a lot of the details but this book explains the important things in a concise but easy to understand manner. I now finally understand how to draw a system diagram by starting from the inputs for each separate system. Everything is brought together -- system diagrams,transfer functions,state variables,the purpose for LaPlace transforms,and input-output models. This is not a book about control theory and it is covered in only the last two chapters but if you are taking, or going to take, a course in control theory,read this book first. It will save you a lot of frustration and bewilderment.

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