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| mathematics of finance and investment: The Mathematics of Financial Modeling and Investment Management Sergio M. Focardi, Frank J. Fabozzi, 2004-04-12 the mathematics of financial modeling & investment management The Mathematics of Financial Modeling & Investment Management covers a wide range of technical topics in mathematics and finance-enabling the investment management practitioner, researcher, or student to fully understand the process of financial decision-making and its economic foundations. This comprehensive resource will introduce you to key mathematical techniques-matrix algebra, calculus, ordinary differential equations, probability theory, stochastic calculus, time series analysis, optimization-as well as show you how these techniques are successfully implemented in the world of modern finance. Special emphasis is placed on the new mathematical tools that allow a deeper understanding of financial econometrics and financial economics. Recent advances in financial econometrics, such as tools for estimating and representing the tails of the distributions, the analysis of correlation phenomena, and dimensionality reduction through factor analysis and cointegration are discussed in depth. Using a wealth of real-world examples, Focardi and Fabozzi simultaneously show both the mathematical techniques and the areas in finance where these techniques are applied. They also cover a variety of useful financial applications, such as: * Arbitrage pricing * Interest rate modeling * Derivative pricing * Credit risk modeling * Equity and bond portfolio management * Risk management * And much more Filled with in-depth insight and expert advice, The Mathematics of Financial Modeling & Investment Management clearly ties together financial theory and mathematical techniques. |
| mathematics of finance and investment: Investment Mathematics for Finance and Treasury Professionals Gregory Kitter, 1998-11-13 For Finance and Treasury professionals to effectively pitch, sell,and comprehend the true appeal and relevance of a particularsecurity, there is nothing more important than knowing how thevalue of said security has been determined. While punching numbersinto a computer may provide the information needed, it isnevertheless essential to have a firm grasp of the valuationconcepts in order to make the best, most informed decisions.Offering a straightforward, accessible approach not found anywhereelse, this comprehensive new book provides a clear-cut road mapthrough the mathematical concepts associated with the investmentssector of Treasury management. Written by an expert in the field, Investment Mathematics forFinance and Treasury Professionals explains the principles andformulae used in the fixedincome cash markets. It presents anin-depth, yet practical look at the applications associated withthese money and capital markets instruments. The book also coverscalculations and applications in the foreign exchange and equitiesmarkets. The same in-depth coverage is applied to the variousfixed-income and foreign exchange derivatives markets used as bothspeculative and hedging tools. Spanning the spectrum fromprice/yield changes to risk/return, and packed with numerousexamples that illustrate key concepts, this exhaustive resourceincludes: * Yield spread analysis--methods of price/yield quotation, yieldspreads by maturity, off-the-run vs. on-the-run * Price/yield sensitivity--hedge ratios, basis point value, dollarduration, convexity * Term structure of interest rates different yield curvestructures, zero coupon yield curve, Treasury trading STRIPS * Foreign exchange--crossrates, spot rates, forward points, coveredinterest arbitrage * Options--plain vanilla vs. exotic options, over-the-counter vs.exchange-traded options, understanding option valuation models, andoption hedging and trading strategies * Interest rate swaps, swaptions, caps, floors, collars, inversefloaters * Risk/return--valuation theory, capital asset pricing model, valueat risk Complete with supporting appendixes that contain statisticalinformation on such essentials as historical interest ratepatterns, conversion factors for Treasury bond futures, thestandard normal distribution, and day count basis for differentbonds, Investment Mathematics for Finance and TreasuryProfessionals is an indispensable reference for anyone involvedwith corporate and municipal treasury functions. Providing Finance and Treasury professionals the fundamentalinformation necessary to understand the mathematical concepts andapplications used in investment decisions, this in-depth andaccessible resource explains and clarifies the concepts behindinvestment mathematics. With numerous examples and comprehensiveappendixes containing important statistical data, InvestmentMathematics for Finance and Treasury Professionals coverseverything from price/yield changes and yield spread analysis toterm structure of interest rates, derivatives, and risk/return. |
| mathematics of finance and investment: Investment Mathematics Andrew T. Adams, Philip M. Booth, David C. Bowie, Della S. Freeth, 2003-07-01 Investment Mathematics provides an introductory analysis of investments from a quantitative viewpoint, drawing together many of the tools and techniques required by investment professionals. Using these techniques, the authors provide simple analyses of a number of securities including fixed interest bonds, equities, index-linked bonds, foreign currency and derivatives. The book concludes with coverage of other applications, including modern portfolio theory, portfolio performance measurement and stochastic investment models. |
| mathematics of finance and investment: Mathematics for Finance Marek Capinski, Tomasz Zastawniak, 2006-04-18 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. |
| mathematics of finance and investment: The Mathematics of Financial Models Kannoo Ravindran, 2014-08-18 Learn how quantitative models can help fight client problems head-on Before financial problems can be solved, they need to be fully understood. Since in-depth quantitative modeling techniques are a powerful tool to understanding the drivers associated with financial problems, one would need a solid grasp of these techniques before being able to unlock their full potential of the methods used. In The Mathematics of Financial Models, the author presents real world solutions to the everyday problems facing financial professionals. With interactive tools such as spreadsheets for valuation, pricing, and modeling, this resource combines highly mathematical quantitative analysis with useful, practical methodologies to create an essential guide for investment and risk-management professionals facing modeling issues in insurance, derivatives valuation, and pension benefits, among others. In addition to this, this resource also provides the relevant tools like matrices, calculus, statistics and numerical analysis that are used to build the quantitative methods used. Financial analysts, investment professionals, risk-management professionals, and graduate students will find applicable information throughout the book, and gain from the self-study exercises and the refresher course on key mathematical topics. Equipped with tips and information, The Mathematics of Financial Models Provides practical methodologies based on mathematical quantitative analysis to help analysts, investment and risk-management professionals better navigate client issues Contains interactive tools that demonstrate the power of analysis and modeling Helps financial professionals become more familiar with the challenges across a range of industries Includes a mathematics refresher course and plenty of exercises to get readers up to speed The Mathematics of Financial Models is an in-depth guide that helps readers break through common client financial problems and emerge with clearer strategies for solving issues in the future. |
| mathematics of finance and investment: Financial Mathematics, Derivatives and Structured Products Raymond H. Chan, Yves ZY. Guo, Spike T. Lee, Xun Li, 2024-06-12 This book introduces readers to the financial markets, derivatives, structured products and how the products are modelled and implemented by practitioners. In addition, it equips readers with the necessary knowledge of financial markets needed in order to work as product structurers, traders, sales or risk managers. This second edition substantially extends, updates and clarifies the previous edition. New materials and enhanced contents include, but not limited to, the role of central counterparties for derivatives transactions, the reference rates to replace LIBOR, risk-neutral modelling for futures and forward, discussions and analysis on risk-neutral framework and numéraires, discrete dividend modelling, variance reduction techniques for Monte Carlo method, finite difference method analysis, tree method, FX modelling, multi-name credit derivatives modelling, local volatility model, forward variance model and local-stochastic volatility model to reflect market practice. As the book seeks to unify the derivatives modelling and the financial engineering practice in the market, it will be of interest to financial practitioners and academic researchers alike. The book can also be used as a textbook for the following courses: • Financial Mathematics (undergraduate level) • Stochastic Modelling in Finance (postgraduate level) • Financial Markets and Derivatives (undergraduate level) • Structured Products and Solutions (undergraduate/postgraduate level) |
| mathematics of finance and investment: Quantitative Methods for Finance and Investments John Teall, Iftekhar Hasan, 2009-02-04 Quantitative Methods for Finance and Investments ensures that readers come away from reading it with a reasonable degree of comfort and proficiency in applying elementary mathematics to several types of financial analysis. All of the methodology in this book is geared toward the development, implementation, and analysis of financial models to solve financial problems. |
| mathematics of finance and investment: An Introduction to the Mathematics of Finance Stephen Garrett, 2013-05-28 An Introduction to the Mathematics of Finance: A Deterministic Approach, Second edition, offers a highly illustrated introduction to mathematical finance, with a special emphasis on interest rates. This revision of the McCutcheon-Scott classic follows the core subjects covered by the first professional exam required of UK actuaries, the CT1 exam. It realigns the table of contents with the CT1 exam and includes sample questions from past exams of both The Actuarial Profession and the CFA Institute. With a wealth of solved problems and interesting applications, An Introduction to the Mathematics of Finance stands alone in its ability to address the needs of its primary target audience, the actuarial student. - Closely follows the syllabus for the CT1 exam of The Institute and Faculty of Actuaries - Features new content and more examples - Online supplements available: http://booksite.elsevier.com/9780080982403/ - Includes past exam questions from The Institute and Faculty of Actuaries and the CFA Institute |
| mathematics of finance and investment: Mathematics and Statistics for Financial Risk Management Michael B. Miller, 2013-12-31 Mathematics and Statistics for Financial Risk Management is a practical guide to modern financial risk management for both practitioners and academics. Now in its second edition with more topics, more sample problems and more real world examples, this popular guide to financial risk management introduces readers to practical quantitative techniques for analyzing and managing financial risk. In a concise and easy-to-read style, each chapter introduces a different topic in mathematics or statistics. As different techniques are introduced, sample problems and application sections demonstrate how these techniques can be applied to actual risk management problems. Exercises at the end of each chapter and the accompanying solutions at the end of the book allow readers to practice the techniques they are learning and monitor their progress. A companion Web site includes interactive Excel spreadsheet examples and templates. Mathematics and Statistics for Financial Risk Management is an indispensable reference for today’s financial risk professional. |
| mathematics of finance and investment: Mathematical Techniques in Finance Amir Sadr, 2022-04-21 Explore the foundations of modern finance with this intuitive mathematical guide In Mathematical Techniques in Finance: An Introduction, distinguished finance professional Amir Sadr delivers an essential and practical guide to the mathematical foundations of various areas of finance, including corporate finance, investments, risk management, and more. Readers will discover a wealth of accessible information that reveals the underpinnings of business and finance. You’ll learn about: Investment theory, including utility theory, mean-variance theory and asset allocation, and the Capital Asset Pricing Model Derivatives, including forwards, options, the random walk, and Brownian Motion Interest rate curves, including yield curves, interest rate swap curves, and interest rate derivatives Complete with math reviews, useful Excel functions, and a glossary of financial terms, Mathematical Techniques in Finance: An Introduction is required reading for students and professionals in finance. |
| mathematics of finance and investment: Mathematical Finance Ernst Eberlein, Jan Kallsen, 2019-12-03 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. |
| mathematics of finance and investment: Mathematics of Finance Kathy Tannous, W. Kathy Tannous, Robert L. Brown, Steve Kopp, Petr Zima, 2013 Delivers an excellent tool to equip students with the knowledge needed to operate in a world of growing financial complexity. Real-World applications, such as home mortgages and personal loans, engage students by showing the relevance along with the tools needed to apply what they learn to other situations. Tannous, University of Western Sydney. |
| mathematics of finance and investment: Introduction to Financial Forecasting in Investment Analysis John Guerard, 2013-01-03 Forecasting—the art and science of predicting future outcomes—has become a crucial skill in business and economic analysis. This volume introduces the reader to the tools, methods, and techniques of forecasting, specifically as they apply to financial and investing decisions. With an emphasis on earnings per share (eps), the author presents a data-oriented text on financial forecasting, understanding financial data, assessing firm financial strategies (such as share buybacks and R&D spending), creating efficient portfolios, and hedging stock portfolios with financial futures. The opening chapters explain how to understand economic fluctuations and how the stock market leads the general economic trend; introduce the concept of portfolio construction and how movements in the economy influence stock price movements; and introduce the reader to the forecasting process, including exponential smoothing and time series model estimations. Subsequent chapters examine the composite index of leading economic indicators (LEI); review financial statement analysis and mean-variance efficient portfolios; and assess the effectiveness of analysts’ earnings forecasts. Using data from such firms as Intel, General Electric, and Hitachi, Guerard demonstrates how forecasting tools can be applied to understand the business cycle, evaluate market risk, and demonstrate the impact of global stock selection modeling and portfolio construction. |
| mathematics of finance and investment: Financial Calculus Martin Baxter, Andrew Rennie, 1996-09-19 A rigorous introduction to the mathematics of pricing, construction and hedging of derivative securities. |
| mathematics of finance and investment: Computational Financial Mathematics using MATHEMATICA® Srdjan Stojanovic, 2012-12-06 Given the explosion of interest in mathematical methods for solving problems in finance and trading, a great deal of research and development is taking place in universities, large brokerage firms, and in the supporting trading software industry. Mathematical advances have been made both analytically and numerically in finding practical solutions. This book provides a comprehensive overview of existing and original material, about what mathematics when allied with Mathematica can do for finance. Sophisticated theories are presented systematically in a user-friendly style, and a powerful combination of mathematical rigor and Mathematica programming. Three kinds of solution methods are emphasized: symbolic, numerical, and Monte-- Carlo. Nowadays, only good personal computers are required to handle the symbolic and numerical methods that are developed in this book. Key features: * No previous knowledge of Mathematica programming is required * The symbolic, numeric, data management and graphic capabilities of Mathematica are fully utilized * Monte--Carlo solutions of scalar and multivariable SDEs are developed and utilized heavily in discussing trading issues such as Black--Scholes hedging * Black--Scholes and Dupire PDEs are solved symbolically and numerically * Fast numerical solutions to free boundary problems with details of their Mathematica realizations are provided * Comprehensive study of optimal portfolio diversification, including an original theory of optimal portfolio hedging under non-Log-Normal asset price dynamics is presented The book is designed for the academic community of instructors and students, and most importantly, will meet the everyday trading needs of quantitatively inclined professional and individual investors. |
| mathematics of finance and investment: Mathematics of Finance and Investment Taylor & Francis Group, 2020-11-07 |
| mathematics of finance and investment: Mathematics of Interest Rates and Finance Gary C. Guthrie, Larry D. Lemon, 2013-10-03 For courses in Actuarial Mathematics, Introduction to Insurance, and Personal/Business Finance. This text presents the basic core of information needed to understand the impact of interest rates on the world of investments, real estate, corporate planning, insurance, and securities transactions. The authors presuppose a working knowledge of basic algebra, arithmetic, and percents for the core of the book: their goal is for students to understand well those few underlying principles that play out in nearly every finance and interest problem. There are several sections that utilize calculus and one chapter that requires statistics. Using time line diagrams as important tools in analyzing money and interest exercises, the text contains a great deal of practical financial applications of interest theory as well as its foundational definitions and theorems. It relies on the use of calculator and computer technology instead of tables; this approach frees students to understand challenging topics without wilting under labor-intensive details. |
| mathematics of finance and investment: Fixed Income Mathematics Robert Zipf, 2003-05-16 An introduction to common fixed income instruments and mathematics, this book offers explanations, exercises, and examples without demanding sophisticated mathematics. Not only does the author use his business and teaching experience to highlight the fundamentals of investment and management decision-making, but he also offers questions and exercises that suggest the applicability of fixed income mathematics. Written for the reader with a general mathematics background, this self-teaching book is suffused with examples that also make it a handy reference guide. It should serve as a gateway to financial mathematics and to increased competence in business analysis. * An easy-to-understand introduction to the mathematics of common fixed income instruments * Offers students explanations, exercises, and examples without demanding sophisticated mathematics * Uses international comparisons to illustrate how interest is compounded. |
| mathematics of finance and investment: Introduction to Financial Mathematics Kevin J. Hastings, 2024-10-14 Introduction to Financial Mathematics motivates students through a discussion of personal finances and portfolio management. The book covers nearly all of the syllabus topics of the Financial Mathematics Actuarial examination to provide students with the foundation they require for future studies and in their careers. It begins |
| mathematics of finance and investment: An Introduction to the Mathematics of Money David Lovelock, Marilou Mendel, Arthur L. Wright, 2010-10-18 This is an undergraduate textbook on the basic aspects of personal savings and investing with a balanced mix of mathematical rigor and economic intuition. It uses routine financial calculations as the motivation and basis for tools of elementary real analysis rather than taking the latter as given. Proofs using induction, recurrence relations and proofs by contradiction are covered. Inequalities such as the Arithmetic-Geometric Mean Inequality and the Cauchy-Schwarz Inequality are used. Basic topics in probability and statistics are presented. The student is introduced to elements of saving and investing that are of life-long practical use. These include savings and checking accounts, certificates of deposit, student loans, credit cards, mortgages, buying and selling bonds, and buying and selling stocks. The book is self contained and accessible. The authors follow a systematic pattern for each chapter including a variety of examples and exercises ensuring that the student deals with realities, rather than theoretical idealizations. It is suitable for courses in mathematics, investing, banking, financial engineering, and related topics. |
| mathematics of finance and investment: Python for Finance Yves J. Hilpisch, 2018-12-05 The financial industry has recently adopted Python at a tremendous rate, with some of the largest investment banks and hedge funds using it to build core trading and risk management systems. Updated for Python 3, the second edition of this hands-on book helps you get started with the language, guiding developers and quantitative analysts through Python libraries and tools for building financial applications and interactive financial analytics. Using practical examples throughout the book, author Yves Hilpisch also shows you how to develop a full-fledged framework for Monte Carlo simulation-based derivatives and risk analytics, based on a large, realistic case study. Much of the book uses interactive IPython Notebooks. |
| mathematics of finance and investment: Mathematical Finance with Applications Wing-Keung Wong, Xu Guo, Sergio Ortobelli Lozza, 2020 Mathematical finance plays a vital role in many fields within finance and provides the theories and tools that have been widely used in all areas of finance. Knowledge of mathematics, probability, and statistics is essential to develop finance theories and test their validity through the analysis of empirical, real-world data. For example, mathematics, probability, and statistics could help to develop pricing models for financial assets such as equities, bonds, currencies, and derivative securities. |
| mathematics of finance and investment: A Course on Statistics for Finance Stanley L. Sclove, 2012-12-06 Taking a data-driven approach, A Course on Statistics for Finance presents statistical methods for financial investment analysis. The author introduces regression analysis, time series analysis, and multivariate analysis step by step using models and methods from finance. The book begins with a review of basic statistics, including descriptive statistics, kinds of variables, and types of data sets. It then discusses regression analysis in general terms and in terms of financial investment models, such as the capital asset pricing model and the Fama/French model. It also describes mean-variance portfolio analysis and concludes with a focus on time series analysis. Providing the connection between elementary statistics courses and quantitative finance courses, this text helps both existing and future quants improve their data analysis skills and better understand the modeling process. |
| mathematics of finance and investment: Advances in Mathematical Finance Michael C. Fu, Robert A. Jarrow, Ju-Yi Yen, Robert J Elliott, 2007-06-22 This self-contained volume brings together a collection of chapters by some of the most distinguished researchers and practitioners in the field of mathematical finance and financial engineering. Presenting state-of-the-art developments in theory and practice, the book has real-world applications to fixed income models, credit risk models, CDO pricing, tax rebates, tax arbitrage, and tax equilibrium. It is a valuable resource for graduate students, researchers, and practitioners in mathematical finance and financial engineering. |
| mathematics of finance and investment: The Mathematics of Financial Derivatives Paul Wilmott, Sam Howison, Jeff Dewynne, 1995-09-29 Basic option theory - Numerical methods - Further option theory - Interest rate derivative products. |
| mathematics of finance and investment: The Mathematics of Investment William L. Hart, 2022-10-27 This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant. |
| mathematics of finance and investment: Financial Derivatives Jamil Baz, George Chacko, 2004-01-12 This book offers a complete, succinct account of the principles of financial derivatives pricing. The first chapter provides readers with an intuitive exposition of basic random calculus. Concepts such as volatility and time, random walks, geometric Brownian motion, and Ito's lemma are discussed heuristically. The second chapter develops generic pricing techniques for assets and derivatives, determining the notion of a stochastic discount factor or pricing kernel, and then uses this concept to price conventional and exotic derivatives. The third chapter applies the pricing concepts to the special case of interest rate markets, namely, bonds and swaps, and discusses factor models and term structure consistent models. The fourth chapter deals with a variety of mathematical topics that underlie derivatives pricing and portfolio allocation decisions such as mean-reverting processes and jump processes and discusses related tools of stochastic calculus such as Kolmogorov equations, martingale techniques, stochastic control, and partial differential equations. |
| mathematics of finance and investment: Investment Decisions and the Logic of Valuation Carlo Alberto Magni, 2020-02-11 This book presents a new approach to the valuation of capital asset investments and investment decision-making. Starting from simple premises and working logically through three basic elements (capital, income, and cash flow), it guides readers on an interdisciplinary journey through the subtleties of accounting and finance, explaining how to correctly measure a project’s economic profitability and efficiency, how to assess the impact of investment policy and financing policy on shareholder value creation, and how to design reliable, transparent, and logically consistent financial models. The book adopts an innovative pedagogical approach, based on a newly developed accounting-and-finance-engineering system, to help readers gain a deeper understanding of the accounting and financial magnitudes, learn about new analytical tools, and develop the necessary skills to practically implement them. This diverse approach to capital budgeting allows a sophisticated economic analysis in both absolute terms (values) and relative terms (rates of return), and is applicable to a wide range of economic entities, including real assets and financial assets, engineering designs and manufacturing schemes, corporate-financed and project-financed transactions, privately-owned projects and public investments, individual projects and firms. As such, this book is a valuable resource for a broad audience, including scholars and researchers, industry practitioners, executives, and managers, as well as students of corporate finance, managerial finance, engineering economics, financial management, management accounting, operations research, and financial mathematics. It features more than 180 guided examples, 50 charts and figures and over 160 explanatory tables that help readers grasp the new concepts and tools. Each chapter starts with an abstract and a list of the skills readers can expect to gain, and concludes with a list of key points summarizing the content. |
| mathematics of finance and investment: The Mathematics of Investing Michael C. Thomsett, 1989-10-13 This complete reference guide is as indispensable to the investor as a calculator--contains every important formula and ratio used in investing and money management, including stocks, bonds, futures, and options. Covers the time value of money, rates of return, compound interest, amortization, fundamental and technical analysis, futures and options pricing, plus math for the bond market, real estate market, mutual funds, and pooled investments. Includes eighty charts, tables, and illustrations, plus appendixes explaining key ratios and formulas. |
| mathematics of finance and investment: Big Data Science in Finance Irene Aldridge, Marco Avellaneda, 2021-01-27 Explains the mathematics, theory, and methods of Big Data as applied to finance and investing Data science has fundamentally changed Wall Street—applied mathematics and software code are increasingly driving finance and investment-decision tools. Big Data Science in Finance examines the mathematics, theory, and practical use of the revolutionary techniques that are transforming the industry. Designed for mathematically-advanced students and discerning financial practitioners alike, this energizing book presents new, cutting-edge content based on world-class research taught in the leading Financial Mathematics and Engineering programs in the world. Marco Avellaneda, a leader in quantitative finance, and quantitative methodology author Irene Aldridge help readers harness the power of Big Data. Comprehensive in scope, this book offers in-depth instruction on how to separate signal from noise, how to deal with missing data values, and how to utilize Big Data techniques in decision-making. Key topics include data clustering, data storage optimization, Big Data dynamics, Monte Carlo methods and their applications in Big Data analysis, and more. This valuable book: Provides a complete account of Big Data that includes proofs, step-by-step applications, and code samples Explains the difference between Principal Component Analysis (PCA) and Singular Value Decomposition (SVD) Covers vital topics in the field in a clear, straightforward manner Compares, contrasts, and discusses Big Data and Small Data Includes Cornell University-tested educational materials such as lesson plans, end-of-chapter questions, and downloadable lecture slides Big Data Science in Finance: Mathematics and Applications is an important, up-to-date resource for students in economics, econometrics, finance, applied mathematics, industrial engineering, and business courses, and for investment managers, quantitative traders, risk and portfolio managers, and other financial practitioners. |
| mathematics of finance and investment: The Mathematics of Financial Modeling and Investment Management Sergio M. Focardi, Frank J. Fabozzi, CFA, 2004-03-29 the mathematics of financial modeling & investment management The Mathematics of Financial Modeling & Investment Management covers a wide range of technical topics in mathematics and finance-enabling the investment management practitioner, researcher, or student to fully understand the process of financial decision-making and its economic foundations. This comprehensive resource will introduce you to key mathematical techniques-matrix algebra, calculus, ordinary differential equations, probability theory, stochastic calculus, time series analysis, optimization-as well as show you how these techniques are successfully implemented in the world of modern finance. Special emphasis is placed on the new mathematical tools that allow a deeper understanding of financial econometrics and financial economics. Recent advances in financial econometrics, such as tools for estimating and representing the tails of the distributions, the analysis of correlation phenomena, and dimensionality reduction through factor analysis and cointegration are discussed in depth. Using a wealth of real-world examples, Focardi and Fabozzi simultaneously show both the mathematical techniques and the areas in finance where these techniques are applied. They also cover a variety of useful financial applications, such as: * Arbitrage pricing * Interest rate modeling * Derivative pricing * Credit risk modeling * Equity and bond portfolio management * Risk management * And much more Filled with in-depth insight and expert advice, The Mathematics of Financial Modeling & Investment Management clearly ties together financial theory and mathematical techniques. |
| mathematics of finance and investment: A Primer for the Mathematics of Financial Engineering Dan Stefanica, 2008 |
| mathematics of finance and investment: Financial Mathematics Chris Ruckman, Joe Francis, 2005 |
| mathematics of finance and investment: Schaum's Outline of Mathematics of Finance Petr Zima, Robert L. Brown, 1996-06 This revised edition reflects the changing environment of business finance, and includes new material on life insurance and life annuities. Topics covered include exponents and logarithms, contingent payments, and amortization and sinking funds. |
| mathematics of finance and investment: Financial Mathematics for Actuaries Wai-Sum Chan, Yiu-Kuen Tse, 2021-10 For fifty years, innovations have taken on a new dimension: the Internet, DNA sequencing, genomic manipulations, advances in transhumanism, nanotechnologies ... and much more. These recent innovations are not without addressing new issues whose consequences are as important as irreversible. The innovator, of whom Steve Jobs and Mark Zuckerberg are emblematic contemporary figures, appears as a personality as brilliant as he is destructive, who aspires to change the world regardless of the violence that may ensue. With this then, emerges the need to establish responsible innovation, in which the innovator should be accountable for his actions and review his position as a hero. To establish this new ethic, philosophy is a necessary recourse, since it questions, among other things, the self-control of the Stoics, the prudence of Aristotle, respect of Kant, the will power of Nietzsche and the power of Foucault. |
| mathematics of finance and investment: Optimal Execution and Liquidation in Finance Olivier Gueant, 2016-03-15 This book is devoted to mathematical models for execution problems in finance. The main goal is to present a general framework (inspired from the Almgren-Chriss approach) for optimal execution problems, and then to use it in a wide range of areas. The book covers applications to the different types of execution proposed within the brokerage industry. It also presents applications to block trade pricing, to portfolio management and to option pricing. |
| mathematics of finance and investment: Lectures on the Mathematics of Finance Ioannis Karatzas, 1997 In this text, the author discusses the main aspects of mathematical finance. These include, arbitrage, hedging and pricing of contingent claims, portfolio optimization, incomplete and/or constrained markets, equilibrium, and transaction costs. The book outlines advances made possible during the last fifteen years due to the methodologies of stochastic analysis and control. Readers are presented with current research, and open problems are suggested. This tutorial survey of the rapidly expanding field of mathematical finance is addressed primarily to graduate students in mathematics. Familiarity is assumed with stochastic analysis and parabolic partial differential equations. The text makes significant use of students' mathematical skills, but always in connection with interesting applied problems. |
| mathematics of finance and investment: Quantitative Finance with Python Chris Kelliher, 2022-05-19 Quantitative Finance with Python: A Practical Guide to Investment Management, Trading and Financial Engineering bridges the gap between the theory of mathematical finance and the practical applications of these concepts for derivative pricing and portfolio management. The book provides students with a very hands-on, rigorous introduction to foundational topics in quant finance, such as options pricing, portfolio optimization and machine learning. Simultaneously, the reader benefits from a strong emphasis on the practical applications of these concepts for institutional investors. Features Useful as both a teaching resource and as a practical tool for professional investors. Ideal textbook for first year graduate students in quantitative finance programs, such as those in master’s programs in Mathematical Finance, Quant Finance or Financial Engineering. Includes a perspective on the future of quant finance techniques, and in particular covers some introductory concepts of Machine Learning. Free-to-access repository with Python codes available at www.routledge.com/ 9781032014432 and on https://github.com/lingyixu/Quant-Finance-With-Python-Code. |
Mathematics - Wikipedia
Mathematics has a remarkable ability to cross cultural boundaries and time periods. As a human activity, the practice of mathematics has a social side, which includes education, careers, …
Mathematics | Definition, History, & Importance | Britannica
Apr 30, 2025 · mathematics, the science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects. It deals with …
Mathematics | Aims & Scope - MDPI
About Mathematics Aims. Mathematics (ISSN 2227-7390) is an international, open access journal which provides an advanced forum for studies related to mathematical sciences. It devotes …
Wolfram MathWorld: The Web's Most Extensive Mathematics …
May 22, 2025 · Comprehensive encyclopedia of mathematics with 13,000 detailed entries. Continually updated, extensively illustrated, and with interactive examples.
Mathematics: Facts about counting, equations, and infamous ...
May 23, 2025 · Mathematics is the study of numbers, quantity and space. In essence, it's the study of the relationships between things, and those relationships need to be figured out using …
Mathematics - Wikipedia
Mathematics has a remarkable ability to cross cultural boundaries and time periods. As a human activity, the practice of mathematics has a social side, which includes education, careers, …
Mathematics | Definition, History, & Importance | Britannica
Apr 30, 2025 · mathematics, the science of structure, order, and relation that has evolved from elemental practices of counting, measuring, and describing the shapes of objects. It deals with …
Mathematics | Aims & Scope - MDPI
About Mathematics Aims. Mathematics (ISSN 2227-7390) is an international, open access journal which provides an advanced forum for studies related to mathematical sciences. It devotes …
Wolfram MathWorld: The Web's Most Extensive Mathematics …
May 22, 2025 · Comprehensive encyclopedia of mathematics with 13,000 detailed entries. Continually updated, extensively illustrated, and with interactive examples.
Mathematics: Facts about counting, equations, and infamous ...
May 23, 2025 · Mathematics is the study of numbers, quantity and space. In essence, it's the study of the relationships between things, and those relationships need to be figured out using logic …
