Problems And Solutions In Mathematical Finance Volume 4

Author : Eric Chin,Sverrir Ólafsson,Dian Nel
Publisher : Wiley
Page : 0 pages
File Size : 46,5 Mb
Release : 2024-09-30
Category : Business & Economics
ISBN : 1119965802

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Problems and Solutions in Mathematical Finance, Volume 4 by Eric Chin,Sverrir Ólafsson,Dian Nel Pdf

A practical problem solving reference for commodity and Forex derivatives Problems and Solutions in Mathematical Finance provides an innovative reference for quantitative finance students and practitioners. Using a unique problem-solving approach, this invaluable guide bridges the gap between the theoretical and practical to impart a deeper understanding of the mathematical problems encountered in the finance industry. Volume IV: Commodity and Foreign Exchange Derivatives breaks down the complexity of the topic by walking you step-by-step through a variety of modelling problems. Building skill upon skill, you'll work through a series of problems of increasing difficulty as you learn both the strategy and mechanics behind each solution. Coverage includes both theoretical and real-world problems, using stochastic calculus, probability theory and statistics, as well as an assumed understanding of exotic option and interest rate models covered in volumes II and III. Financial institutions rely on quantitative analysis to inform decision making on trading, hedging, investing, risk management and pricing. This book provides both instruction and reference from a highly practical perspective, giving you a highly applicable real-world skillset. Fully grasp the fundamentals of commodity and foreign exchange derivatives Follow mathematical modelling processes step-by-step Link theory to real-world problems through guided problem-solving Test your knowledge and skills with increasingly complex problem sets Commodity and Foreign Exchange Derivatives are a complex, nuanced area in the quantitative finance realm. Simply reading about these instruments fails to convey the level of understanding required to work with them; in the real-world, quants draw upon an in-depth knowledge of both finance and mathematics every day. Problems and Solutions in Mathematical Finance provides practical reference and problem-solving skills for anyone learning or working in quantitative finance.

Author : Eric Chin,Dian Nel,Sverrir Ólafsson
Publisher : John Wiley & Sons
Page : 856 pages
File Size : 47,7 Mb
Release : 2017-01-04
Category : Business & Economics
ISBN : 9781119966104

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Problems and Solutions in Mathematical Finance by Eric Chin,Dian Nel,Sverrir Ólafsson Pdf

Detailed guidance on the mathematics behind equityderivatives Problems and Solutions in Mathematical Finance Volume IIis an innovative reference for quantitative practitioners andstudents, providing guidance through a range of mathematicalproblems encountered in the finance industry. This volume focusessolely on equity derivatives problems, beginning with basicproblems in derivatives securities before moving on to moreadvanced applications, including the construction of volatilitysurfaces to price exotic options. By providing a methodology forsolving theoretical and practical problems, whilst explaining thelimitations of financial models, this book helps readers to developthe skills they need to advance their careers. The text covers awide range of derivatives pricing, such as European, American,Asian, Barrier and other exotic options. Extensive appendicesprovide a summary of important formulae from calculus, theory ofprobability, and differential equations, for the convenience ofreaders. As Volume II of the four-volume Problems and Solutions inMathematical Finance series, this book provides clearexplanation of the mathematics behind equity derivatives, in orderto help readers gain a deeper understanding of their mechanics anda firmer grasp of the calculations. Review the fundamentals of equity derivatives Work through problems from basic securities to advanced exoticspricing Examine numerical methods and detailed derivations ofclosed-form solutions Utilise formulae for probability, differential equations, andmore Mathematical finance relies on mathematical models, numericalmethods, computational algorithms and simulations to make trading,hedging, and investment decisions. For the practitioners andgraduate students of quantitative finance, Problems andSolutions in Mathematical Finance Volume II provides essentialguidance principally towards the subject of equity derivatives.

Author : Eric CHIN
Publisher : Unknown
Page : 128 pages
File Size : 48,8 Mb
Release : 2014
Category : Electronic
ISBN : OCLC:1192927960

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Problems and Solutions in Mathematical Finance by Eric CHIN Pdf

Author : Eric Chin,Sverrir Ólafsson,Dian Nel
Publisher : Wiley
Page : 0 pages
File Size : 47,6 Mb
Release : 2023-05-30
Category : Business & Economics
ISBN : 1119965810

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Problems and Solutions in Mathematical Finance, Volume 3 by Eric Chin,Sverrir Ólafsson,Dian Nel Pdf

Your complete guide to mastering basic and advanced techniques for interest rate derivative modeling and pricing Interest rate trading constitutes the largest sector of the world derivatives market. Interest rate contracts are a much valued risk management tool used by the majority of the world's largest companies. But interest rate derivative modeling and pricing are extremely challenging tasks, requiring a thorough knowledge and practical expertise in advanced discrete and continuous mathematical modeling methods–practical knowledge which can only be gained through extensive problem solving and the application of contemporary interest rate tools and models to an array of market scenarios. Authored by a distinguished team of quantitative analysts with extensive experience in the field, this second volume in the landmark Problems and Solutions in Mathematical Finance offers you a quick, painless way to acquire that knowledge and expertise. The only book offering a problems-and-solutions approach to teaching interest rate and inflation index derivatives modelling Walks you step-by-step through the theoretical aspects of interest rate and inflation indexed derivatives as well as broad range real-world problems Extremely practical, it bridges the gap between mathematical theory and the everyday reality of the financial markets An ideal text for quantitative finance students and an essential go-to resource for busy practitioners looking to refresh their knowledge and enhance their practical expertise

Author : Eric Chin,Sverrir Ólafsson,Dian Nel
Publisher : John Wiley & Sons
Page : 400 pages
File Size : 53,6 Mb
Release : 2014-11-20
Category : Business & Economics
ISBN : 9781119966074

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Problems and Solutions in Mathematical Finance by Eric Chin,Sverrir Ólafsson,Dian Nel Pdf

Mathematical finance requires the use of advanced mathematicaltechniques drawn from the theory of probability, stochasticprocesses and stochastic differential equations. These areas aregenerally introduced and developed at an abstract level, making itproblematic when applying these techniques to practical issues infinance. Problems and Solutions in Mathematical Finance Volume I:Stochastic Calculus is the first of a four-volume set ofbooks focusing on problems and solutions in mathematicalfinance. This volume introduces the reader to the basic stochasticcalculus concepts required for the study of this important subject,providing a large number of worked examples which enable the readerto build the necessary foundation for more practical orientatedproblems in the later volumes. Through this application and byworking through the numerous examples, the reader will properlyunderstand and appreciate the fundamentals that underpinmathematical finance. Written mainly for students, industry practitioners and thoseinvolved in teaching in this field of study, StochasticCalculus provides a valuable reference book to complementone’s further understanding of mathematical finance.

Author : Guojun Gan,Chaoqun Ma,Hong Xie
Publisher : John Wiley & Sons
Page : 54 pages
File Size : 44,8 Mb
Release : 2014-04-07
Category : Mathematics
ISBN : 9781118831960

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Measure, Probability, and Mathematical Finance by Guojun Gan,Chaoqun Ma,Hong Xie Pdf

An introduction to the mathematical theory and financial models developed and used on Wall Street Providing both a theoretical and practical approach to the underlying mathematical theory behind financial models, Measure, Probability, and Mathematical Finance: A Problem-Oriented Approach presents important concepts and results in measure theory, probability theory, stochastic processes, and stochastic calculus. Measure theory is indispensable to the rigorous development of probability theory and is also necessary to properly address martingale measures, the change of numeraire theory, and LIBOR market models. In addition, probability theory is presented to facilitate the development of stochastic processes, including martingales and Brownian motions, while stochastic processes and stochastic calculus are discussed to model asset prices and develop derivative pricing models. The authors promote a problem-solving approach when applying mathematics in real-world situations, and readers are encouraged to address theorems and problems with mathematical rigor. In addition, Measure, Probability, and Mathematical Finance features: A comprehensive list of concepts and theorems from measure theory, probability theory, stochastic processes, and stochastic calculus Over 500 problems with hints and select solutions to reinforce basic concepts and important theorems Classic derivative pricing models in mathematical finance that have been developed and published since the seminal work of Black and Scholes Measure, Probability, and Mathematical Finance: A Problem-Oriented Approach is an ideal textbook for introductory quantitative courses in business, economics, and mathematical finance at the upper-undergraduate and graduate levels. The book is also a useful reference for readers who need to build their mathematical skills in order to better understand the mathematical theory of derivative pricing models.

Author : Eric Chin,Sverrir Ólafsson,Dian Nel
Publisher : John Wiley & Sons
Page : 404 pages
File Size : 53,8 Mb
Release : 2014-11-10
Category : Business & Economics
ISBN : 9781119965831

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Problems and Solutions in Mathematical Finance, Volume 1 by Eric Chin,Sverrir Ólafsson,Dian Nel Pdf

Mathematical finance requires the use of advanced mathematical techniques drawn from the theory of probability, stochastic processes and stochastic differential equations. These areas are generally introduced and developed at an abstract level, making it problematic when applying these techniques to practical issues in finance. Problems and Solutions in Mathematical Finance Volume I: Stochastic Calculus is the first of a four-volume set of books focusing on problems and solutions in mathematical finance. This volume introduces the reader to the basic stochastic calculus concepts required for the study of this important subject, providing a large number of worked examples which enable the reader to build the necessary foundation for more practical orientated problems in the later volumes. Through this application and by working through the numerous examples, the reader will properly understand and appreciate the fundamentals that underpin mathematical finance. Written mainly for students, industry practitioners and those involved in teaching in this field of study, Stochastic Calculus provides a valuable reference book to complement one’s further understanding of mathematical finance.

Author : Eric Chin,Dian Nel,Sverrir Ólafsson
Publisher : John Wiley & Sons
Page : 856 pages
File Size : 51,9 Mb
Release : 2017-01-04
Category : Business & Economics
ISBN : 9781119966111

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Problems and Solutions in Mathematical Finance by Eric Chin,Dian Nel,Sverrir Ólafsson Pdf

Detailed guidance on the mathematics behind equity derivatives Problems and Solutions in Mathematical Finance Volume II is an innovative reference for quantitative practitioners and students, providing guidance through a range of mathematical problems encountered in the finance industry. This volume focuses solely on equity derivatives problems, beginning with basic problems in derivatives securities before moving on to more advanced applications, including the construction of volatility surfaces to price exotic options. By providing a methodology for solving theoretical and practical problems, whilst explaining the limitations of financial models, this book helps readers to develop the skills they need to advance their careers. The text covers a wide range of derivatives pricing, such as European, American, Asian, Barrier and other exotic options. Extensive appendices provide a summary of important formulae from calculus, theory of probability, and differential equations, for the convenience of readers. As Volume II of the four-volume Problems and Solutions in Mathematical Finance series, this book provides clear explanation of the mathematics behind equity derivatives, in order to help readers gain a deeper understanding of their mechanics and a firmer grasp of the calculations. Review the fundamentals of equity derivatives Work through problems from basic securities to advanced exotics pricing Examine numerical methods and detailed derivations of closed-form solutions Utilise formulae for probability, differential equations, and more Mathematical finance relies on mathematical models, numerical methods, computational algorithms and simulations to make trading, hedging, and investment decisions. For the practitioners and graduate students of quantitative finance, Problems and Solutions in Mathematical Finance Volume II provides essential guidance principally towards the subject of equity derivatives.

Author : Giuseppe Campolieti,Roman N. Makarov
Publisher : CRC Press
Page : 589 pages
File Size : 55,8 Mb
Release : 2021-07-08
Category : Business & Economics
ISBN : 9780429994586

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Financial Mathematics by Giuseppe Campolieti,Roman N. Makarov Pdf

The book has been tested and refined through years of classroom teaching experience. With an abundance of examples, problems, and fully worked out solutions, the text introduces the financial theory and relevant mathematical methods in a mathematically rigorous yet engaging way. This textbook provides complete coverage of discrete-time financial models that form the cornerstones of financial derivative pricing theory. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. Key features: In-depth coverage of discrete-time theory and methodology. Numerous, fully worked out examples and exercises in every chapter. Mathematically rigorous and consistent yet bridging various basic and more advanced concepts. Judicious balance of financial theory, mathematical, and computational methods. Guide to Material. This revision contains: Almost 200 pages worth of new material in all chapters. A new chapter on elementary probability theory. An expanded the set of solved problems and additional exercises. Answers to all exercises. This book is a comprehensive, self-contained, and unified treatment of the main theory and application of mathematical methods behind modern-day financial mathematics. Table of Contents List of Figures and Tables Preface I Introduction to Pricing and Management of Financial Securities 1 Mathematics of Compounding 2 Primer on Pricing Risky Securities 3 Portfolio Management 4 Primer on Derivative Securities II Discrete-Time Modelling 5 Single-Period Arrow–Debreu Models 6 Introduction to Discrete-Time Stochastic Calculus 7 Replication and Pricing in the Binomial Tree Model 8 General Multi-Asset Multi-Period Model Appendices A Elementary Probability Theory B Glossary of Symbols and Abbreviations C Answers and Hints to Exercises References Index Biographies Giuseppe Campolieti is Professor of Mathematics at Wilfrid Laurier University in Waterloo, Canada. He has been Natural Sciences and Engineering Research Council postdoctoral research fellow and university research fellow at the University of Toronto. In 1998, he joined the Masters in Mathematical Finance as an instructor and later as an adjunct professor in financial mathematics until 2002. Dr. Campolieti also founded a financial software and consulting company in 1998. He joined Laurier in 2002 as Associate Professor of Mathematics and as SHARCNET Chair in Financial Mathematics. Roman N. Makarov is Associate Professor and Chair of Mathematics at Wilfrid Laurier University. Prior to joining Laurier in 2003, he was an Assistant Professor of Mathematics at Siberian State University of Telecommunications and Informatics and a senior research fellow at the Laboratory of Monte Carlo Methods at the Institute of Computational Mathematics and Mathematical Geophysics in Novosibirsk, Russia.

Author : Arlie O. Petters,Xiaoying Dong
Publisher : Springer
Page : 483 pages
File Size : 40,6 Mb
Release : 2016-06-17
Category : Mathematics
ISBN : 9781493937837

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An Introduction to Mathematical Finance with Applications by Arlie O. Petters,Xiaoying Dong Pdf

This textbook aims to fill the gap between those that offer a theoretical treatment without many applications and those that present and apply formulas without appropriately deriving them. The balance achieved will give readers a fundamental understanding of key financial ideas and tools that form the basis for building realistic models, including those that may become proprietary. Numerous carefully chosen examples and exercises reinforce the student’s conceptual understanding and facility with applications. The exercises are divided into conceptual, application-based, and theoretical problems, which probe the material deeper. The book is aimed toward advanced undergraduates and first-year graduate students who are new to finance or want a more rigorous treatment of the mathematical models used within. While no background in finance is assumed, prerequisite math courses include multivariable calculus, probability, and linear algebra. The authors introduce additional mathematical tools as needed. The entire textbook is appropriate for a single year-long course on introductory mathematical finance. The self-contained design of the text allows for instructor flexibility in topics courses and those focusing on financial derivatives. Moreover, the text is useful for mathematicians, physicists, and engineers who want to learn finance via an approach that builds their financial intuition and is explicit about model building, as well as business school students who want a treatment of finance that is deeper but not overly theoretical.

Author : Giuseppe Campolieti,Roman N. Makarov
Publisher : CRC Press
Page : 511 pages
File Size : 41,9 Mb
Release : 2022-12-21
Category : Business & Economics
ISBN : 9780429889103

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Financial Mathematics by Giuseppe Campolieti,Roman N. Makarov Pdf

The book has been tested and refined through years of classroom teaching experience. With an abundance of examples, problems, and fully worked out solutions, the text introduces the financial theory and relevant mathematical methods in a mathematically rigorous yet engaging way. This textbook provides complete coverage of continuous-time financial models that form the cornerstones of financial derivative pricing theory. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. Key features: In-depth coverage of continuous-time theory and methodology Numerous, fully worked out examples and exercises in every chapter Mathematically rigorous and consistent, yet bridging various basic and more advanced concepts Judicious balance of financial theory and mathematical methods Guide to Material This revision contains: Almost 150 pages worth of new material in all chapters A appendix on probability theory An expanded set of solved problems and additional exercises Answers to all exercises This book is a comprehensive, self-contained, and unified treatment of the main theory and application of mathematical methods behind modern-day financial mathematics. The text complements Financial Mathematics: A Comprehensive Treatment in Discrete Time, by the same authors, also published by CRC Press.

Author : Ernst Eberlein,Jan Kallsen
Publisher : Springer Nature
Page : 774 pages
File Size : 53,8 Mb
Release : 2019-12-03
Category : Mathematics
ISBN : 9783030261061

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Mathematical Finance by Ernst Eberlein,Jan Kallsen Pdf

Taking continuous-time stochastic processes allowing for jumps as its starting and focal point, this book provides an accessible introduction to the stochastic calculus and control of semimartingales and explains the basic concepts of Mathematical Finance such as arbitrage theory, hedging, valuation principles, portfolio choice, and term structure modelling. It bridges thegap between introductory texts and the advanced literature in the field. Most textbooks on the subject are limited to diffusion-type models which cannot easily account for sudden price movements. Such abrupt changes, however, can often be observed in real markets. At the same time, purely discontinuous processes lead to a much wider variety of flexible and tractable models. This explains why processes with jumps have become an established tool in the statistics and mathematics of finance. Graduate students, researchers as well as practitioners will benefit from this monograph.

Author : Giuseppe Campolieti (Mathematics professor),Roman N. Makarov
Publisher : Chapman & Hall/CRC
Page : 0 pages
File Size : 47,6 Mb
Release : 2021-07-08
Category : Business & Economics
ISBN : 0429994575

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Financial Mathematics by Giuseppe Campolieti (Mathematics professor),Roman N. Makarov Pdf

The book has been tested and refined through years of classroom teaching experience. With an abundance of examples, problems, and fully worked out solutions, the text introduces the financial theory and relevant mathematical methods in a mathematically rigorous yet engaging way. This textbook provides complete coverage of discrete-time financial models that form the cornerstones of financial derivative pricing theory. Unlike similar texts in the field, this one presents multiple problem-solving approaches, linking related comprehensive techniques for pricing different types of financial derivatives. Key features: In-depth coverage of discrete-time theory and methodology. Numerous, fully worked out examples and exercises in every chapter. Mathematically rigorous and consistent yet bridging various basic and more advanced concepts. Judicious balance of financial theory, mathematical, and computational methods. Guide to Material. This revision contains: Almost 200 pages worth of new material in all chapters. A new chapter on elementary probability theory. An expanded the set of solved problems and additional exercises. Answers to all exercises. This book is a comprehensive, self-contained, and unified treatment of the main theory and application of mathematical methods behind modern-day financial mathematics.

Author : Salih N. Neftci
Publisher : Academic Press
Page : 550 pages
File Size : 49,9 Mb
Release : 2000-05-19
Category : Business & Economics
ISBN : 9780125153928

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An Introduction to the Mathematics of Financial Derivatives by Salih N. Neftci Pdf

A step-by-step explanation of the mathematical models used to price derivatives. For this second edition, Salih Neftci has expanded one chapter, added six new ones, and inserted chapter-concluding exercises. He does not assume that the reader has a thorough mathematical background. His explanations of financial calculus seek to be simple and perceptive.

Author : Andrea Pascucci,Wolfgang J. Runggaldier
Publisher : Springer Science & Business Media
Page : 294 pages
File Size : 48,9 Mb
Release : 2012-04-05
Category : Mathematics
ISBN : 9788847025387

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Financial Mathematics by Andrea Pascucci,Wolfgang J. Runggaldier Pdf

With the Bologna Accords a bachelor-master-doctor curriculum has been introduced in various countries with the intention that students may enter the job market already at the bachelor level. Since financial Institutions provide non negligible job opportunities also for mathematicians, and scientists in general, it appeared to be appropriate to have a financial mathematics course already at the bachelor level in mathematics. Most mathematical techniques in use in financial mathematics are related to continuous time models and require thus notions from stochastic analysis that bachelor students do in general not possess. Basic notions and methodologies in use in financial mathematics can however be transmitted to students also without the technicalities from stochastic analysis by using discrete time (multi-period) models for which general notions from Probability suffice and these are generally familiar to students not only from science courses, but also from economics with quantitative curricula. There do not exists many textbooks for multi-period models and the present volume is intended to fill in this gap. It deals with the basic topics in financial mathematics and, for each topic, there is a theoretical section and a problem section. The latter includes a great variety of possible problems with complete solution.