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.

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.

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 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.

This book discusses the interplay of stochastics (applied probability theory) and numerical analysis in the field of quantitative finance. The stochastic models, numerical valuation techniques, computational aspects, financial products, and risk management applications presented will enable readers to progress in the challenging field of computational finance.When the behavior of financial market participants changes, the corresponding stochastic mathematical models describing the prices may also change. Financial regulation may play a role in such changes too. The book thus presents several models for stock prices, interest rates as well as foreign-exchange rates, with increasing complexity across the chapters. As is said in the industry, 'do not fall in love with your favorite model.' The book covers equity models before moving to short-rate and other interest rate models. We cast these models for interest rate into the Heath-Jarrow-Morton framework, show relations between the different models, and explain a few interest rate products and their pricing.The chapters are accompanied by exercises. Students can access solutions to selected exercises, while complete solutions are made available to instructors. The MATLAB and Python computer codes used for most tables and figures in the book are made available for both print and e-book users. This book will be useful for people working in the financial industry, for those aiming to work there one day, and for anyone interested in quantitative finance. The topics that are discussed are relevant for MSc and PhD students, academic researchers, and for quants in the financial industry.

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.

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.