Investment Mathematics
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Author | : Andrew T. Adams |
Publisher | : John Wiley & Sons |
Total Pages | : 436 |
Release | : 2003-07-01 |
Genre | : Business & Economics |
ISBN | : 0470859180 |
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.
Author | : Sergio M. Focardi |
Publisher | : John Wiley & Sons |
Total Pages | : 802 |
Release | : 2004-04-12 |
Genre | : Business & Economics |
ISBN | : 0471674230 |
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.
Author | : David Lovelock |
Publisher | : Springer Science & Business Media |
Total Pages | : 297 |
Release | : 2007-04-05 |
Genre | : Mathematics |
ISBN | : 0387681116 |
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.
Author | : |
Publisher | : Rex Bookstore, Inc. |
Total Pages | : 380 |
Release | : |
Genre | : |
ISBN | : 9789712324208 |
Author | : L. C. G. Rogers |
Publisher | : Springer Science & Business Media |
Total Pages | : 163 |
Release | : 2013-01-10 |
Genre | : Mathematics |
ISBN | : 3642352022 |
Readers of this book will learn how to solve a wide range of optimal investment problems arising in finance and economics. Starting from the fundamental Merton problem, many variants are presented and solved, often using numerical techniques that the book also covers. The final chapter assesses the relevance of many of the models in common use when applied to data.
Author | : Gregory Kitter |
Publisher | : Wiley |
Total Pages | : 0 |
Release | : 1998-11-13 |
Genre | : Business & Economics |
ISBN | : 9780471252948 |
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.
Author | : Sergio M. Focardi |
Publisher | : John Wiley & Sons |
Total Pages | : 804 |
Release | : 2004-03-29 |
Genre | : Business & Economics |
ISBN | : 9780471465997 |
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.
Author | : William L. Hart |
Publisher | : Legare Street Press |
Total Pages | : 0 |
Release | : 2022-10-27 |
Genre | : History |
ISBN | : 9781017218152 |
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.
Author | : Samuel A. Broverman |
Publisher | : ACTEX Publications |
Total Pages | : 560 |
Release | : 2010 |
Genre | : Business & Economics |
ISBN | : 1566987679 |
This book has been named as a reference for the Society of Actuaries Exam FM and the Casualty Actuarial Society Exam 2. It is also listed in the Course of Reading for the EA-1 examination of the Joint Board for the Enrollment of Actuaries. Mathematics of Investment and Credit is a leading textbook covering the topic of interest theory. It is the required or recommended text in many college and university courses on this topic, as well as for Exam FM/2. This text provides a thorough treatment of the theory of interest, and its application to a wide variety of financial instruments. It emphasizes a direct-calculation approach to reaching numerical results, and uses a gentle, thorough pedagogic style. This text includes detailed treatments of the term structure of interest rates, forward contracts of various types, interest rate swaps and financial options and option strategies. Key formulas and definitions are highlighted. Real world current events are included to demonstrate key concepts. The text contains a large number of worked examples and end-of-chapter exercises. The Fifth Edition includes expanded coverage of forwards, futures, swaps and options in order to address the Learning Objectives for the financial mathematics component of Exam FM/2.
Author | : Samuel A. Broverman |
Publisher | : ACTEX Publications |
Total Pages | : 593 |
Release | : 2015-08-27 |
Genre | : Business & Economics |
ISBN | : 162542485X |
Mathematics of Investment and Credit is a leading textbook covering the topic of interest theory. It is the required or recommended text in many college and university courses on this topic, as well as for Exam FM. This text provides a thorough treatment of the theory of interest, and its application to a wide variety of financial instruments. It emphasizes a direct-calculation approach to reaching numerical results, and uses a gentle, thorough pedagogic style. This text includes detailed treatments of the term structure of interest rates, forward contracts of various types, interest rate swaps, financial options, and option strategies. Key formulas and definitions are highlighted. Real world current events are included to demonstrate key concepts. The text contains a large number of worked examples and end-of-chapter exercises. The New Sixth Edition includes updates driven by the upcoming changes for the learning objectives for Exam FM, updated examples and exercises and some exposition improvements. The topic of duration has been revamped in Chapter 7 and expanded treatment of determinants of interest rates in Chapter 8.