Introduction to the Economics and Mathematics of Financial Markets

Author: Jakša Cvitanić,Fernando Zapatero

Publisher: MIT Press

ISBN: 9780262033206

Category: Business & Economics

Page: 494

View: 2643

An innovative textbook for use in advanced undergraduate and graduate courses;accessible to students in financial mathematics, financial engineering and economics.
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Introduction to the Economics and Mathematics of Financial Markets

Author: Jakša Cvitanić,Fernando Zapatero

Publisher: Mit Press

ISBN: 9780262532655

Category: Business & Economics

Page: 494

View: 1266

This textbook in financial economics provides a rigorous overview of the subject that - because of an innovative presentation - is suitable for use at different levels of undergraduate and graduate students. Each chapter presents mathematical models of financial problems at three different degrees of sophistication: single-period, multi-period and continuous-time.
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Introduction to the Economics and Mathematics of Financial Markets

Author: Jakša Cvitanić,Fernando Zapatero

Publisher: MIT Press (MA)

ISBN: 9780262271066

Category: Business & Economics

Page: 516

View: 7536

An innovative textbook for use in advanced undergraduate and graduate courses; accessible to students in financial mathematics, financial engineering and economics.
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Solutions Manual for Introduction to the Economics and Mathematics of Financial Markets

Author: Jakša Cvitanić,Fernando Zapatero

Publisher: MIT Press

ISBN: 9780262532594

Category: Business & Economics

Page: 60

View: 1670

This textbook in financial economics provides a rigorous overview of the subject that -- because of an innovative presentation -- is suitable for use with different levels of undergraduate and graduate students. Each chapter presents mathematical models of financial problems at three levels of sophistication: single-period, multi-period, and continuous-time. The single-period and multi-period models require only basic calculus and an introductory probability/statistics course, while an advanced undergraduate course in probability is helpful in understanding the continuous-time models. In this way the material is given complete coverage at different levels; the less advanced student can stop before the more sophisticated mathematics and still be able to grasp the general principles of financial economics.
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An Introduction to the Mathematics of Financial Derivatives

Author: Ali Hirsa,Salih N. Neftci

Publisher: Academic Press

ISBN: 0123846838

Category: Mathematics

Page: 454

View: 2692

An Introduction to the Mathematics of Financial Derivatives is a popular, intuitive text that eases the transition between basic summaries of financial engineering to more advanced treatments using stochastic calculus. Requiring only a basic knowledge of calculus and probability, it takes readers on a tour of advanced financial engineering. This classic title has been revised by Ali Hirsa, who accentuates its well-known strengths while introducing new subjects, updating others, and bringing new continuity to the whole. Popular with readers because it emphasizes intuition and common sense, An Introduction to the Mathematics of Financial Derivatives remains the only "introductory" text that can appeal to people outside the mathematics and physics communities as it explains the hows and whys of practical finance problems. Facilitates readers' understanding of underlying mathematical and theoretical models by presenting a mixture of theory and applications with hands-on learning Presented intuitively, breaking up complex mathematics concepts into easily understood notions Encourages use of discrete chapters as complementary readings on different topics, offering flexibility in learning and teaching
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Introduction to Quantitative Methods for Financial Markets

Author: Hansjoerg Albrecher,Andreas Binder,Volkmar Lautscham,Philipp Mayer

Publisher: Springer Science & Business Media

ISBN: 3034805195

Category: Mathematics

Page: 191

View: 7141

Swaps, futures, options, structured instruments - a wide range of derivative products is traded in today's financial markets. Analyzing, pricing and managing such products often requires fairly sophisticated quantitative tools and methods. This book serves as an introduction to financial mathematics with special emphasis on aspects relevant in practice. In addition to numerous illustrative examples, algorithmic implementations are demonstrated using "Mathematica" and the software package "UnRisk" (available for both students and teachers). The content is organized in 15 chapters that can be treated as independent modules. In particular, the exposition is tailored for classroom use in a Bachelor or Master program course, as well as for practitioners who wish to further strengthen their quantitative background.
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Financial Calculus

An Introduction to Derivative Pricing

Author: Martin Baxter,Andrew Rennie

Publisher: Cambridge University Press

ISBN: 1139643274

Category: Mathematics

Page: N.A

View: 1709

The rewards and dangers of speculating in the modern financial markets have come to the fore in recent times with the collapse of banks and bankruptcies of public corporations as a direct result of ill-judged investment. At the same time, individuals are paid huge sums to use their mathematical skills to make well-judged investment decisions. Here now is the first rigorous and accessible account of the mathematics behind the pricing, construction and hedging of derivative securities. Key concepts such as martingales, change of measure, and the Heath-Jarrow-Morton model are described with mathematical precision in a style tailored for market practitioners. Starting from discrete-time hedging on binary trees, continuous-time stock models (including Black-Scholes) are developed. Practicalities are stressed, including examples from stock, currency and interest rate markets, all accompanied by graphical illustrations with realistic data. A full glossary of probabilistic and financial terms is provided. This unique book will be an essential purchase for market practitioners, quantitative analysts, and derivatives traders.
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Ethics in Quantitative Finance

A Pragmatic Financial Market Theory

Author: Timothy Johnson

Publisher: Springer

ISBN: 3319610392

Category: Business & Economics

Page: 339

View: 8261

This book presents an ethical theory for financial transactions that underpins the stability of modern economies. It combines elements from history, ethics, economics and mathematics to show how these combined can be used to develop a pragmatic theory of financial markets. Written in three sections; section one examines the co-evolution of finance and mathematics in an ethical context by focusing on three periods: pre-Socratic Greece, Western Europe in the thirteenth century and North-western Europe in the seventeenth century to demonstrate how the historical development of markets and finance were critical in the development of European ideas of science and democracy. Section two interprets the evidence presented in section one to provide examples of the norms reciprocity, sincerity and charity and introduce the pragmatic theory. Section three uses the pragmatic theory to interpret recent financial crises, address emergent phenomena and relate the theory to alternative contemporary theories of markets. Presenting a unique synthesis of mathematical and behavioural approaches to finance this book provides explicit ethical guidance that will be of interest to academics and practitioners alike.
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Mathematics for Finance

An Introduction to Financial Engineering

Author: Marek Capinski,Tomasz Zastawniak

Publisher: Springer

ISBN: 1852338466

Category: Business & Economics

Page: 314

View: 4234

This textbook contains the fundamentals for an undergraduate course in mathematical finance aimed primarily at students of mathematics. Assuming only a basic knowledge of probability and calculus, the material is presented in a mathematically rigorous and complete way. The book covers the time value of money, including the time structure of interest rates, bonds and stock valuation; derivative securities (futures, options), modelling in discrete time, pricing and hedging, and many other core topics. With numerous examples, problems and exercises, this book is ideally suited for independent study.
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The Statistical Mechanics of Financial Markets

Author: Johannes Voit

Publisher: Springer Science & Business Media

ISBN: 3662044234

Category: Science

Page: 220

View: 9333

A careful examination of the interaction between physics and finance. It takes a look at the 100-year-long history of co-operation between the two fields and goes on to provide new research results on capital markets - taken from the field of statistical physics. The random walk model, well known in physics, is one good example of where the two disciplines meet. In the world of finance it is the basic model upon which the Black-Scholes theory of option pricing and hedging has been built. The underlying assumptions are discussed using empirical financial data and analogies to physical models such as fluid flows, turbulence, or superdiffusion. On this basis, new theories of derivative pricing and risk control can be formulated.
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Fundamentals of Financial Instruments

An Introduction to Stocks, Bonds, Foreign Exchange, and Derivatives

Author: Sunil Parameswaran

Publisher: John Wiley & Sons

ISBN: 0470829117

Category: Business & Economics

Page: 576

View: 4773

The essential guide to financial instruments, logically presented Fundamentals of Financial Instruments deals with the global financial markets and the instruments in which they trade. While most books on finance tend to be heavily mathematical, this book emphasizes the concepts in a logical, sequential fashion, introducing mathematical concepts only at the relevant times. As a result, the reader gains conceptual clarity reinforced by just the right level of technical detail to ensure a comprehensive exposure to the skills needed in the financial world. Establishes a strong foundation for understanding global markets Acts as an invaluable resource for those considering a career in the financial markets Offers an accessible yet in-depth treatise on modern financial instruments Presents a logical navigational path for a typical student of finance who is attempting to come to terms with the intricacies of the subject Covering the fundamentals of various types of assets in a single volume, Fundamentals of Financial Instruments is a compact yet comprehensive one-stop reference for students and professionals in finance and economics.
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The Economics of Continuous-Time Finance

Author: Bernard Dumas,Elisa Luciano

Publisher: MIT Press

ISBN: 0262036541

Category: Business & Economics

Page: 640

View: 345

This book introduces the economic applications of the theory of continuous-time finance, with the goal of enabling the construction of realistic models, particularly those involving incomplete markets. Indeed, most recent applications of continuous-time finance aim to capture the imperfections and dysfunctions of financial markets -- characteristics that became especially apparent during the market turmoil that started in 2008. The book begins by using discrete time to illustrate the basic mechanisms and introduce such notions as completeness, redundant pricing, and no arbitrage. It develops the continuous-time analog of those mechanisms and introduces the powerful tools of stochastic calculus. Going beyond other textbooks, the book then focuses on the study of markets in which some form of incompleteness, volatility, heterogeneity, friction, or behavioral subtlety arises. After presenting solutions methods for control problems and related partial differential equations, the text examines portfolio optimization and equilibrium in incomplete markets, interest rate and fixed-income modeling, and stochastic volatility. Finally, it presents models where investors form different beliefs or suffer frictions, form habits, or have recursive utilities, studying the effects not only on optimal portfolio choices but also on equilibrium, or the price of primitive securities. The book strikes a balance between mathematical rigor and the need for economic interpretation of financial market regularities, although with an emphasis on the latter.
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Introduction to the Theories and Varieties of Modern Crime in Financial Markets

Author: Marius-Cristian Frunza

Publisher: Academic Press

ISBN: 0128013494

Category: Business & Economics

Page: 272

View: 2058

Introduction to the Theories and Varieties of Modern Crime in Financial Markets explores statistical methods and data mining techniques that, if used correctly, can help with crime detection and prevention. The three sections of the book present the methods, techniques, and approaches for recognizing, analyzing, and ultimately detecting and preventing financial frauds, especially complex and sophisticated crimes that characterize modern financial markets. The first two sections appeal to readers with technical backgrounds, describing data analysis and ways to manipulate markets and commit crimes. The third section gives life to the information through a series of interviews with bankers, regulators, lawyers, investigators, rogue traders, and others. The book is sharply focused on analyzing the origin of a crime from an economic perspective, showing Big Data in action, noting both the pros and cons of this approach. Provides an analytical/empirical approach to financial crime investigation, including data sources, data manipulation, and conclusions that data can provide Emphasizes case studies, primarily with experts, traders, and investigators worldwide Uses R for statistical examples
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Statistics of Financial Markets

An Introduction

Author: Jürgen Franke,Wolfgang Karl Härdle,Christian Matthias Hafner

Publisher: Springer

ISBN: 3642545394

Category: Business & Economics

Page: 555

View: 7849

Now in its fourth edition, this book offers a detailed yet concise introduction to the growing field of statistical applications in finance. The reader will learn the basic methods of evaluating option contracts, analyzing financial time series, selecting portfolios and managing risks based on realistic assumptions about market behavior. The focus is both on the fundamentals of mathematical finance and financial time series analysis, and on applications to given problems concerning financial markets, thus making the book the ideal basis for lectures, seminars and crash courses on the topic. For this new edition the book has been updated and extensively revised and now includes several new aspects, e.g. new chapters on long memory models, copulae and CDO valuation. Practical exercises with solutions have also been added. Both R and Matlab Code, together with the data, can be downloaded from the book’s product page and www.quantlet.de
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The Financial Mathematics of Market Liquidity

From Optimal Execution to Market Making

Author: Olivier Gueant

Publisher: CRC Press

ISBN: 1498725481

Category: Business & Economics

Page: 278

View: 4472

This book is among the first to present the mathematical models most commonly used to solve optimal execution problems and market making problems in finance. The Financial Mathematics of Market Liquidity: From Optimal Execution to Market Making presents a general modeling framework for optimal execution problems–inspired from the Almgren-Chriss approach–and then demonstrates the use of that framework across a wide range of areas. The book introduces the classical tools of optimal execution and market making, along with their practical use. It also demonstrates how the tools used in the optimal execution literature can be used to solve classical and new issues where accounting for liquidity is important. In particular, it presents cutting-edge research on the pricing of block trades, the pricing and hedging of options when liquidity matters, and the management of complex share buy-back contracts. What sets this book apart from others is that it focuses on specific topics that are rarely, or only briefly, tackled in books dealing with market microstructure. It goes far beyond existing books in terms of mathematical modeling–bridging the gap between optimal execution and other fields of Quantitative Finance. The book includes two appendices dedicated to the mathematical notions used throughout the book. Appendix A recalls classical concepts of mathematical economics. Appendix B recalls classical tools of convex analysis and optimization, along with central ideas and results of the calculus of variations. This self-contained book is accessible to anyone with a minimal background in mathematical analysis, dynamic optimization, and stochastic calculus. Covering post-electronification financial markets and liquidity issues for pricing, this book is an ideal resource to help investment banks and asset managers optimize trading strategies and improve overall risk management.
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The Economics of Financial Markets

Author: Hendrik S. Houthakker,Peter J. Williamson

Publisher: Oxford University Press on Demand

ISBN: 019504407X

Category: Business & Economics

Page: 361

View: 3058

This book puts economics to work on the daily problems faced by investors, traders, speculators and brokers as they wrestle with increasingly complex financial markets. Drawing on data direct from the financial behavior of households, corporations, and governments, through to the prices of individual securities, the authors show how accessible but rigorous economics can help the players make sense of the hour-by-hour reality of the way financial markets move. Many of the twists and turns that might seem random at first sight are, they contend, rational and often predictable. But inefficiencies do exist, and the authors also demonstrate how these can become unique profit opportunities. By bringing together information on the daily workings of financial markets with the concepts and tools of economics, Houthakker and Williamson have provided a valuable resource for practitioners and students alike.
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Fractal Market Analysis

Applying Chaos Theory to Investment and Economics

Author: Edgar E. Peters

Publisher: John Wiley & Sons

ISBN: 9780471585244

Category: Business & Economics

Page: 315

View: 718

By using fractals and rescaled range plus nonlinear dynamic models, Ed Peters explains turbulent market behavior, offers fresh insights into risk and volatility, and demystifies price and market movements. Whatever your trading and investment goals, FRACTAL MARKET ANALYSIS delivers the realistic economic and mathematical structure you need to enhance your asset valuation and portfolio selection strategies.
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Analytical Finance: Volume I

The Mathematics of Equity Derivatives, Markets, Risk and Valuation

Author: Jan R. M. Röman

Publisher: Springer

ISBN: 3319340271

Category: Business & Economics

Page: 483

View: 9144

This book provides an introduction to the valuation of financial instruments on equity markets. Written from the perspective of trading, risk management and quantitative research functions and written by a practitioner with many years’ experience in markets and in academia, it provides a valuable learning tool for students and new entrants to these markets. Coverage includes: ·Trading and sources of risk, including credit and counterparty risk, market and model risks, settlement and Herstatt risks. ·Numerical methods including discrete-time methods, finite different methods, binomial models and Monte Carlo simulations. ·Probability theory and stochastic processes from the financial modeling perspective, including probability spaces, sigma algebras, measures and filtrations. ·Continuous time models such as Black-Scholes-Merton; Delta-hedging and Delta-Gamma-hedging; general diffusion models and how to solve Partial Differential Equation using the Feynmann-Kac representation. ·The trading, structuring and hedging several kinds of exotic options, including: Binary/Digital options; Barrier options; Lookbacks; Asian options; Chooses; Forward options; Ratchets; Compounded options; Basket options; Exchange and Currency-linked options; Pay later options and Quantos. ·A detailed explanation of how to construct synthetic instruments and strategies for different market conditions, discussing more than 30 different option strategies. With source code for many of the models featured in the book provided and extensive examples and illustrations throughout, this book provides a comprehensive introduction to this topic and will prove an invaluable learning tool and reference for anyone studying or working in this field.
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