Fixed Income Mathematics

Kehinde is a Nigerian woman, unsure of herself, not quite certain she has the right to be happy. With her husband, Albert, she has made a home in London, and has a promising career when Albert decides they should return to Nigeria. Kehinde is loath to do so, and joins him later, reluctantly, only to discover that he has taken a second, younger wife. Her years in England have left Kehinde unwilling and unprepared to reembrace Nigerian social mores; and unable to accept the situation, she returns to London.

The standard reference for fixed income portfolio managers Despite their conservative nature, fixed income instruments are among the investment industry's most complex and potentially risky investments. Fixed Income Mathematics is recognized worldwide as the essential professional reference for understanding the concepts and evaluative methodologies for bonds, mortgage-backed securities, asset-backed securities, and other fixed income instruments. This fully revised and updated fourth edition features all-new illustrations of the future and present value of money, with appendices on continuous compounding and new sections and chapters addressing risk measures, cash flow characteristics of credit-sensitive mortgage-backed and asset-backed securities, and more.

Fixed Income Mathematics is an easy-to-understand introduction to the mathematics of common fixed income instruments. This book offers explanations, exercises, and examples without demanding sophisticated mathematics from the reader. 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. International comparisons are used to illustrate how interest is compounded. This text will be a valuable resource for professional insurance and other actuarials who invest in bonds and who are concerned with inflation, asset-liability management, the time value of money, interest rates, rates of return, risk, and investment income. It will also appeal to MBA students and anyone seeking a general introduction or overview of the subject. * 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

The standard reference for fixed income portfolio managers Despite their conservative nature, fixed income instruments are among the investment industry's most complex and potentially risky investments. Fixed Income Mathematics is recognized worldwide as the essential professional reference for understanding the concepts and evaluative methodologies for bonds, mortgage-backed securities, asset-backed securities, and other fixed income instruments. This fully revised and updated fourth edition features all-new illustrations of the future and present value of money, with appendices on continuous compounding and new sections and chapters addressing risk measures, cash flow characteristics of credit-sensitive mortgage-backed and asset-backed securities, and more.

A guide to the theory behind bond math formulas Bond Math explores the ideas and assumptions behind commonly used statistics on risk and return for individual bonds and on fixed income portfolios. But this book is much more than a series of formulas and calculations; the emphasis is on how to think about and use bond math. Author Donald J. Smith, a professor at Boston University and an experienced executive trainer, covers in detail money market rates, periodicity conversions, bond yields to maturity and horizon yields, the implied probability of default, after-tax rates of return, implied forward and spot rates, and duration and convexity. These calculations are used on traditional fixed-rate and zero-coupon bonds, as well as floating-rate notes, inflation-indexed securities, and interest rate swaps. Puts bond math in perspective through discussions of bond portfolios and investment strategies. Critiques the Bloomberg Yield Analysis (YA) page, indicating which numbers provide reliable information for making decisions about bonds, which are meaningless data, and which can be very misleading to investors Filled with thought-provoking insights and practical advice, this book puts the intricacies of bond math into a clear and logical order.

Fixed income practitioners need to understand the conceptual frameworks of their field; to master its quantitative tool-kit; and to be well-versed in its cash-flow and pricing conventions. Fixed Income Securities, Third Edition by Bruce Tuckman and Angel Serrat is designed to balance these three objectives. The book presents theory without unnecessary abstraction; quantitative techniques with a minimum of mathematics; and conventions at a useful level of detail. The book begins with an overview of global fixed income markets and continues with the fundamentals, namely, arbitrage pricing, interest rates, risk metrics, and term structure models to price contingent claims. Subsequent chapters cover individual markets and securities: repo, rate and bond forwards and futures, interest rate and basis swaps, credit markets, fixed income options, and mortgage-backed-securities. Fixed Income Securities, Third Edition is full of examples, applications, and case studies. Practically every quantitative concept is illustrated through real market data. This practice-oriented approach makes the book particularly useful for the working professional. This third edition is a considerable revision and expansion of the second. Most examples have been updated. The chapters on fixed income options and mortgage-backed securities have been considerably expanded to include a broader range of securities and valuation methodologies. Also, three new chapters have been added: the global overview of fixed income markets; a chapter on corporate bonds and credit default swaps; and a chapter on discounting with bases, which is the foundation for the relatively recent practice of discounting swap cash flows with curves based on money market rates.

Each new chapter of the Second Edition covers an aspect of the fixed income market that has become relevant to investors but is not covered at an advanced level in existing textbooks. This is material that is pertinent to the investment decisions but is not freely available to those not originating the products. Professor Choudhry’s method is to place ideas into contexts in order to keep them from becoming too theoretical. While the level of mathematical sophistication is both high and specialized, he includes a brief introduction to the key mathematical concepts. This is a book on the financial markets, not mathematics, and he provides few derivations and fewer proofs. He draws on both his personal experience as well as his own research to bring together subjects of practical importance to bond market investors and analysts. Presents practitioner-level theories and applications, never available in textbooks Focuses on financial markets, not mathematics Covers relative value investing, returns analysis, and risk estimation

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.