Mathematics of the Bond Market: A Lévy Processes Approach PDF Download
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Author: Michał Barski
Publisher: Cambridge University Press
ISBN: 1108889603
Category : Mathematics
Languages : en
Pages : 402
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Book Description
Mathematical models of bond markets are of interest to researchers working in applied mathematics, especially in mathematical finance. This book concerns bond market models in which random elements are represented by Lévy processes. These are more flexible than classical models and are well suited to describing prices quoted in a discontinuous fashion. The book's key aims are to characterize bond markets that are free of arbitrage and to analyze their completeness. Nonlinear stochastic partial differential equations (SPDEs) are an important tool in the analysis. The authors begin with a relatively elementary analysis in discrete time, suitable for readers who are not familiar with finance or continuous time stochastic analysis. The book should be of interest to mathematicians, in particular to probabilists, who wish to learn the theory of the bond market and to be exposed to attractive open mathematical problems.
Author: Michał Barski
Publisher: Cambridge University Press
ISBN: 1108889603
Category : Mathematics
Languages : en
Pages : 402
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Book Description
Mathematical models of bond markets are of interest to researchers working in applied mathematics, especially in mathematical finance. This book concerns bond market models in which random elements are represented by Lévy processes. These are more flexible than classical models and are well suited to describing prices quoted in a discontinuous fashion. The book's key aims are to characterize bond markets that are free of arbitrage and to analyze their completeness. Nonlinear stochastic partial differential equations (SPDEs) are an important tool in the analysis. The authors begin with a relatively elementary analysis in discrete time, suitable for readers who are not familiar with finance or continuous time stochastic analysis. The book should be of interest to mathematicians, in particular to probabilists, who wish to learn the theory of the bond market and to be exposed to attractive open mathematical problems.
Author: Donald J. Smith
Publisher: John Wiley & Sons
ISBN: 1118103165
Category : Business & Economics
Languages : en
Pages : 288
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Book Description
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.
Author: Patrick J. Brown
Publisher: John Wiley & Sons
ISBN: 0470030747
Category : Business & Economics
Languages : en
Pages : 242
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Book Description
This book gives an introduction to the bond markets for practitioners and new entrants who need to understand what they are, how they work and how they can be used, but do not want to be intimidated by mathematical formulae. By the end of the book readers will be able to decide whether to invest in the bond market. The mathematical formulae will be relegated to the appendices and supplemented by a companion website which allows users to enter their own bond market investments, to simulate anticipated events and see the results. Patrick Brown is well-known as Chairman of the European Bond commission (recently retired) The only bond book that does not rely heavily on mathematical formulae
Author: Robert Zipf
Publisher: Elsevier
ISBN: 0080506550
Category : Mathematics
Languages : en
Pages : 343
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Book Description
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
Author: Moorad Choudhry
Publisher: Butterworth-Heinemann
ISBN: 0080574939
Category : Business & Economics
Languages : en
Pages : 1152
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Book Description
The Bond and Money Markets is an invaluable reference to all aspects of fixed income markets and instruments. It is highly regarded as an introduction and an advanced text for professionals and graduate students. Features comprehensive coverage of: * Government and Corporate bonds, Eurobonds, callable bonds, convertibles * Asset-backed bonds including mortgages and CDOs * Derivative instruments including futures, swaps, options, structured products * Interest-rate risk, duration analysis, convexity, and the convexity bias * The money markets, repo markets, basis trading, and asset/liability management * Term structure models, estimating and interpreting the yield curve * Portfolio management and strategies,total return framework, constructing bond indices * A stand alone reference book on interest rate swaps, the money markets, financial market mathematics, interest-rate futures and technical analysis * Includes introductory coverage of very specialised topics (for which one previously required several texts) such as VaR, Asset & liability management and credit derivatives * Combines accessible style with advanced level topics
Author: Jaksa Cvitanic
Publisher: MIT Press
ISBN: 9780262033206
Category : Business & Economics
Languages : en
Pages : 528
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Book Description
An innovative textbook for use in advanced undergraduate and graduate courses; accessible to students in financial mathematics, financial engineering and economics. Introduction to the Economics and Mathematics of Financial Markets fills the longstanding need for an accessible yet serious textbook treatment of financial economics. The book provides a rigorous overview of the subject, while its flexible presentation makes it suitable for use with 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. 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. The book is divided into three parts. The first part provides an introduction to basic securities and financial market organization, the concept of interest rates, the main mathematical models, and quantitative ways to measure risks and rewards. The second part treats option pricing and hedging; here and throughout the book, the authors emphasize the Martingale or probabilistic approach. Finally, the third part examines equilibrium models—a subject often neglected by other texts in financial mathematics, but included here because of the qualitative insight it offers into the behavior of market participants and pricing.
Author: Donald J. Smith
Publisher: John Wiley & Sons
ISBN: 1118866320
Category : Business & Economics
Languages : en
Pages : 309
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Book Description
A bond calculation quick reference, complete with context and application insights Bond Math is a quick and easy resource that puts the intricacies of bond calculations into a clear and logical order. This simple, readable guide provides a handy reference, teaching the reader how to think about the essentials of bond math. Much more than just a book of formulas, the emphasis is on how to think about bonds and the associated math, with plenty of examples, anecdotes, and thought-provoking insights that sometimes run counter to conventional wisdom. This updated second edition includes popular Bloomberg pages used in fixed-income analysis, including the Yield and Spread Analysis page, plus a companion website complete with an Online Workbook of multiple choice questions and answers and spreadsheet exercises. Detailed coverage of key calculations, including thorough explanations, provide practical guidance to working bond professionals. The bond market is the largest and most liquid in the world, encompassing everything from Treasuries and investment grade corporate paper to municipals and junk bonds, trading over $900 billion daily in the U.S. alone. Bond Math is a guide to the inevitable calculations involved in managing bonds, with expert insight on the portfolios and investment strategies that puts the math in perspective. Clear and concise without sacrificing detail, this book helps readers to: Delineate the characteristics of different types of debt securities Calculate implied forward and spot rates and discount factors Work with rates of return, yield statistics, and interest rate swaps Understand duration-based risk measures, and more Memorizing formulas is one thing, but really learning how to mentally approach the math behind bonds is something else entirely. This approach places calculations in context, and enables easier transition from theory to application. For the bond professional seeking a quick math reference, Bond Math provides that and so much more.
Author: Moorad Choudhry
Publisher: Financial Times/Prentice Hall
ISBN:
Category : Bond market
Languages : en
Pages : 408
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Book Description
Investors need to be fully conversant with the differences in the way that bonds are structured, valued and traded. "Bond Market Securities" contains a wide range of methodologies that will help the reader to gain a good understanding of fixed income securities and some of their associated derivatives. "Bond Market Securities" investigates the fundamentals of fixed income analysis, reviewing the latest research and presenting it in an accessible way that is suitable for practitioners and graduate students alike. The research is summarized in a way that allows readers to apply results to their individual requirements. Important subjects are covered in a straightforward style, using only essential mathematics, while further references are listed in full so that the reader may undertake further research. Topics covered include: Bond mathematics Spot and forward rates Yield curve fitting techniques Term structure models Credit derivatives in the fixed income markets Stochastic models and option pricing Hybrid securities Forwards and futures Market trading considerations and techniques Mortgage-backed securities. Written by a debt markets professional with many years' experience trading bonds in the markets, the book focuses on the international nature of these instruments, allowing you to apply the techniques and applications covered in the book in every debt capital market, irrespective of geographical location. "Bond Market Securities" provides a concise and accessible description of the main elements of the markets, the instruments used and their applications, and will be ofvaluable use to both the experienced practitioner and the bond market novice. ""Bond Market Securities" is accessible to both scholars and practitioners, but sacrifices little in quantitative rigour or institutional detail. It will be added to my graduate reading lists"-- Professor Steve Satchell, Faculty of Economics and Politics, Cambridge University "In bond markets it is easy to overcomplicate things with too much jargon, too many technical terms and too many long mathematical formulae. Moorad's book brings refreshing clarity to the subject, helping show how (and why) these markets really work."-- Peter Matthews, Senior Credit Trader and Head of FRN Trading, ABN Amro Bank NV "Moorad is a rare combination - technically and intellectually brilliant and blessed with the personality and ability to communicate effectively with the rest of us. He has the ability to demystify the seemingly most complex concepts and an enthusiasm for his subject that shines through his writing and captures the reader's interest."-- Martin Barber, Partner, KPMG Consulting
Author: Kenneth D. Garbade
Publisher: MIT Press
ISBN: 0262016370
Category : Business & Economics
Languages : en
Pages : 407
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Book Description
The evolution of "a marvel of modern finance," the market for U.S. Treasury securities, from 1917 to 1939. The market for U.S. Treasury securities is a marvel of modern finance. In 2009 the Treasury auctioned $8.2 trillion of new securities, ranging from 4-day bills to 30-year bonds, in 283 offerings on 171 different days. By contrast, in the decade before World War I, there was only about $1 billion of interest-bearing Treasury debt outstanding, spread out over just six issues. New offerings were rare, and the debt was narrowly held, most of it owned by national banks. In Birth of a Market, Kenneth Garbade traces the development of the Treasury market from a financial backwater in the years before World War I to a multibillion dollar market on the eve of World War II. Garbade focuses on Treasury debt management policies, describing the origins of several pillars of modern Treasury practice, including "regular and predictable" auction offerings and the integration of debt and cash management. He recounts the actions of Secretaries of the Treasury, from William McAdoo in the Wilson administration to Henry Morgenthau in the Roosevelt administration, and their responses to economic conditions. Garbade's account covers the Treasury market in the two decades before World War I, how the Treasury financed the Great War, how it managed the postwar refinancing and paydowns, and how it financed the chronic deficits of the Great Depression. He concludes with an examination of aspects of modern Treasury debt management that grew out of developments from 1917 to 1939.
Author: Robert J. Bond
Publisher: Waveland Press
ISBN: 1478608056
Category : Mathematics
Languages : en
Pages : 344
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Book Description
Bond and Keane explicate the elements of logical, mathematical argument to elucidate the meaning and importance of mathematical rigor. With definitions of concepts at their disposal, students learn the rules of logical inference, read and understand proofs of theorems, and write their own proofs all while becoming familiar with the grammar of mathematics and its style. In addition, they will develop an appreciation of the different methods of proof (contradiction, induction), the value of a proof, and the beauty of an elegant argument. The authors emphasize that mathematics is an ongoing, vibrant disciplineits long, fascinating history continually intersects with territory still uncharted and questions still in need of answers. The authors extensive background in teaching mathematics shines through in this balanced, explicit, and engaging text, designed as a primer for higher- level mathematics courses. They elegantly demonstrate process and application and recognize the byproducts of both the achievements and the missteps of past thinkers. Chapters 1-5 introduce the fundamentals of abstract mathematics and chapters 6-8 apply the ideas and techniques, placing the earlier material in a real context. Readers interest is continually piqued by the use of clear explanations, practical examples, discussion and discovery exercises, and historical comments.
