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Applied Probabilistic Calculus for Financial Engineering

Applied Probabilistic Calculus for Financial Engineering
Author: Bertram K. C. Chan
Publisher: John Wiley & Sons
Total Pages: 532
Release: 2017-10-16
Genre: Mathematics
ISBN: 1119387612

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Illustrates how R may be used successfully to solve problems in quantitative finance Applied Probabilistic Calculus for Financial Engineering: An Introduction Using R provides R recipes for asset allocation and portfolio optimization problems. It begins by introducing all the necessary probabilistic and statistical foundations, before moving on to topics related to asset allocation and portfolio optimization with R codes illustrated for various examples. This clear and concise book covers financial engineering, using R in data analysis, and univariate, bivariate, and multivariate data analysis. It examines probabilistic calculus for modeling financial engineering—walking the reader through building an effective financial model from the Geometric Brownian Motion (GBM) Model via probabilistic calculus, while also covering Ito Calculus. Classical mathematical models in financial engineering and modern portfolio theory are discussed—along with the Two Mutual Fund Theorem and The Sharpe Ratio. The book also looks at R as a calculator and using R in data analysis in financial engineering. Additionally, it covers asset allocation using R, financial risk modeling and portfolio optimization using R, global and local optimal values, locating functional maxima and minima, and portfolio optimization by performance analytics in CRAN. Covers optimization methodologies in probabilistic calculus for financial engineering Answers the question: What does a "Random Walk" Financial Theory look like? Covers the GBM Model and the Random Walk Model Examines modern theories of portfolio optimization, including The Markowitz Model of Modern Portfolio Theory (MPT), The Black-Litterman Model, and The Black-Scholes Option Pricing Model Applied Probabilistic Calculus for Financial Engineering: An Introduction Using R s an ideal reference for professionals and students in economics, econometrics, and finance, as well as for financial investment quants and financial engineers.


Stochastic Calculus for Finance II

Stochastic Calculus for Finance II
Author: Steven Shreve
Publisher: Springer
Total Pages: 550
Release: 2010-12-01
Genre: Mathematics
ISBN: 9781441923110

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"A wonderful display of the use of mathematical probability to derive a large set of results from a small set of assumptions. In summary, this is a well-written text that treats the key classical models of finance through an applied probability approach....It should serve as an excellent introduction for anyone studying the mathematics of the classical theory of finance." --SIAM


Introduction to Stochastic Calculus Applied to Finance

Introduction to Stochastic Calculus Applied to Finance
Author: Damien Lamberton
Publisher: CRC Press
Total Pages: 254
Release: 2011-12-14
Genre: Business & Economics
ISBN: 142000994X

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Since the publication of the first edition of this book, the area of mathematical finance has grown rapidly, with financial analysts using more sophisticated mathematical concepts, such as stochastic integration, to describe the behavior of markets and to derive computing methods. Maintaining the lucid style of its popular predecessor, Introduction


Monte Carlo Methods in Financial Engineering

Monte Carlo Methods in Financial Engineering
Author: Paul Glasserman
Publisher: Springer Science & Business Media
Total Pages: 603
Release: 2013-03-09
Genre: Mathematics
ISBN: 0387216170

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From the reviews: "Paul Glasserman has written an astonishingly good book that bridges financial engineering and the Monte Carlo method. The book will appeal to graduate students, researchers, and most of all, practicing financial engineers [...] So often, financial engineering texts are very theoretical. This book is not." --Glyn Holton, Contingency Analysis


Probability and Finance

Probability and Finance
Author: Glenn Shafer
Publisher: John Wiley & Sons
Total Pages: 438
Release: 2005-02-25
Genre: Business & Economics
ISBN: 0471461717

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Provides a foundation for probability based on game theory rather than measure theory. A strong philosophical approach with practical applications. Presents in-depth coverage of classical probability theory as well as new theory.


Stochastic Calculus for Finance II

Stochastic Calculus for Finance II
Author: Steven Shreve
Publisher: Springer
Total Pages: 0
Release: 2010-12-13
Genre: Mathematics
ISBN: 9780387401010

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"A wonderful display of the use of mathematical probability to derive a large set of results from a small set of assumptions. In summary, this is a well-written text that treats the key classical models of finance through an applied probability approach....It should serve as an excellent introduction for anyone studying the mathematics of the classical theory of finance." --SIAM


Probability and Finance Theory

Probability and Finance Theory
Author: Kian Guan Lim
Publisher: World Scientific Publishing Company
Total Pages: 536
Release: 2015-09-29
Genre: Business & Economics
ISBN: 9814641952

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This book is an introduction to the mathematical analysis of probability theory and provides some understanding of how probability is used to model random phenomena of uncertainty, specifically in the context of finance theory and applications. The integrated coverage of both basic probability theory and finance theory makes this book useful reading for advanced undergraduate students or for first-year postgraduate students in a quantitative finance course. The book provides easy and quick access to the field of theoretical finance by linking the study of applied probability and its applications to finance theory all in one place. The coverage is carefully selected to include most of the key ideas in finance in the last 50 years. The book will also serve as a handy guide for applied mathematicians and probabilists to easily access the important topics in finance theory and economics. In addition, it will also be a handy book for financial economists to learn some of the more mathematical and rigorous techniques so their understanding of theory is more rigorous. It is a must read for advanced undergraduate and graduate students who wish to work in the quantitative finance area.


Stochastic Calculus and Financial Applications

Stochastic Calculus and Financial Applications
Author: J. Michael Steele
Publisher: Springer Science & Business Media
Total Pages: 303
Release: 2012-12-06
Genre: Mathematics
ISBN: 1468493051

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Stochastic calculus has important applications to mathematical finance. This book will appeal to practitioners and students who want an elementary introduction to these areas. From the reviews: "As the preface says, ‘This is a text with an attitude, and it is designed to reflect, wherever possible and appropriate, a prejudice for the concrete over the abstract’. This is also reflected in the style of writing which is unusually lively for a mathematics book." --ZENTRALBLATT MATH


Martingale Methods in Financial Modelling

Martingale Methods in Financial Modelling
Author: Marek Musiela
Publisher: Springer Science & Business Media
Total Pages: 521
Release: 2013-06-29
Genre: Mathematics
ISBN: 3662221322

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A comprehensive and self-contained treatment of the theory and practice of option pricing. The role of martingale methods in financial modeling is exposed. The emphasis is on using arbitrage-free models already accepted by the market as well as on building the new ones. Standard calls and puts together with numerous examples of exotic options such as barriers and quantos, for example on stocks, indices, currencies and interest rates are analysed. The importance of choosing a convenient numeraire in price calculations is explained. Mathematical and financial language is used so as to bring mathematicians closer to practical problems of finance and presenting to the industry useful maths tools.


Statistics and Data Analysis for Financial Engineering

Statistics and Data Analysis for Financial Engineering
Author: David Ruppert
Publisher: Springer
Total Pages: 719
Release: 2015-04-21
Genre: Business & Economics
ISBN: 1493926144

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The new edition of this influential textbook, geared towards graduate or advanced undergraduate students, teaches the statistics necessary for financial engineering. In doing so, it illustrates concepts using financial markets and economic data, R Labs with real-data exercises, and graphical and analytic methods for modeling and diagnosing modeling errors. These methods are critical because financial engineers now have access to enormous quantities of data. To make use of this data, the powerful methods in this book for working with quantitative information, particularly about volatility and risks, are essential. Strengths of this fully-revised edition include major additions to the R code and the advanced topics covered. Individual chapters cover, among other topics, multivariate distributions, copulas, Bayesian computations, risk management, and cointegration. Suggested prerequisites are basic knowledge of statistics and probability, matrices and linear algebra, and calculus. There is an appendix on probability, statistics and linear algebra. Practicing financial engineers will also find this book of interest.