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We investigate the possibility of an arbitrage free model for the term structure of interest rates where the yield curve only changes through a parallel shift. We consider HJM type forward rate models driven by a multidimensionalWiener process as well as by a general marked point process. Within this general framework we show that there does indeed exist a large variety of nontrivial parallel shift term structure models, and we also describe these in detail. We also show that there exists no nontrivial flat term structure model. The same analysis is repeated for the similar case, where the yield curve only changes through proportional shifts. Key words: bond market, term structure of interest rates, flat term structures.
Changing interest rates constitute one of the major risk sources for banks, insurance companies, and other financial institutions. Modeling the term-structure movements of interest rates is a challenging task. This volume gives an introduction to the mathematics of term-structure models in continuous time. It includes practical aspects for fixed-income markets such as day-count conventions, duration of coupon-paying bonds and yield curve construction; arbitrage theory; short-rate models; the Heath-Jarrow-Morton methodology; consistent term-structure parametrizations; affine diffusion processes and option pricing with Fourier transform; LIBOR market models; and credit risk. The focus is on a mathematically straightforward but rigorous development of the theory. Students, researchers and practitioners will find this volume very useful. Each chapter ends with a set of exercises, that provides source for homework and exam questions. Readers are expected to be familiar with elementary Itô calculus, basic probability theory, and real and complex analysis.
The definitive guide to fixed income valuation and risk analysis The Trilogy in Fixed Income Valuation and Risk Analysis comprehensively covers the most definitive work on interest rate risk, term structure analysis, and credit risk. The first book on interest rate risk modeling examines virtually every well-known IRR model used for pricing and risk analysis of various fixed income securities and their derivatives. The companion CD-ROM contain numerous formulas and programming tools that allow readers to better model risk and value fixed income securities. This comprehensive resource provides readers with the hands-on information and software needed to succeed in this financial arena.
This book is tightly focused on the pricing and hedging of fixed income securities and their derivatives. It is targeted at those who are interested in trading these instruments in an investment bank, but is also useful for those responsible for monitoring compliance of the traders such as regulators, back office staff, middle and senior lever managers. To broaden its appeal, this book lowers the barriers to learning by keeping math to a minimum and by illustrating concepts through detailed numerical examples using Excel workbooks/spreadsheets on a CD with the book. On the accompanying CD with the book, three interest rate models are illustrated: Ho and Lee, constant volatility and Black Derman and Toy, along with two evolutionary models, Vasicek and CIR and two credit risk models, Jarrow and Turnbull and Duffie and Singleton. These are implemented via spreadsheets on the CD. * Starts at an introductory level and then develops advanced topics * Provides plenty of numerical examples rather than mathematical equations to aid full understanding of the strengths and weaknesses of all interest rate derivative models* Can be used for self-study - a complete book on the topic, which includes examples with answers
The essential guide to fixed income portfolio management, from the experts at CFA Fixed Income Analysis is a new edition of Frank Fabozzi's Fixed Income Analysis, Second Edition that provides authoritative and up-to-date coverage of how investment professionals analyze and manage fixed income portfolios. With detailed information from CFA Institute, this guide contains comprehensive, example-driven presentations of all essential topics in the field to provide value for self-study, general reference, and classroom use. Readers are first introduced to the fundamental concepts of fixed income before continuing on to analysis of risk, asset-backed securities, term structure analysis, and a general framework for valuation that assumes no prior relevant background. The final section of the book consists of three readings that build the knowledge and skills needed to effectively manage fixed income portfolios, giving readers a real-world understanding of how the concepts discussed are practically applied in client-based scenarios. Part of the CFA Institute Investment series, this book provides a thorough exploration of fixed income analysis, clearly presented by experts in the field. Readers gain critical knowledge of underlying concepts, and gain the skills they need to translate theory into practice. Understand fixed income securities, markets, and valuation Master risk analysis and general valuation of fixed income securities Learn how fixed income securities are backed by pools of assets Explore the relationships between bond yields of different maturities Investment analysts, portfolio managers, individual and institutional investors and their advisors, and anyone with an interest in fixed income markets will appreciate this access to the best in professional quality information. For a deeper understanding of fixed income portfolio management practices, Fixed Income Analysis is a complete, essential resource.
This book has been prepared during my work as a research assistant at the Institute for Statistics and Econometrics of the Economics Department at the University of Bielefeld, Germany. It was accepted as a Ph.D. thesis titled "Term Structure Modeling and Estimation in a State Space Framework" at the Department of Economics of the University of Bielefeld in November 2004. It is a pleasure for me to thank all those people who have been helpful in one way or another during the completion of this work. First of all, I would like to express my gratitude to my advisor Professor Joachim Frohn, not only for his guidance and advice throughout the com pletion of my thesis but also for letting me have four very enjoyable years teaching and researching at the Institute for Statistics and Econometrics. I am also grateful to my second advisor Professor Willi Semmler. The project I worked on in one of his seminars in 1999 can really be seen as a starting point for my research on state space models. I thank Professor Thomas Braun for joining the committee for my oral examination.
Develop the skillset essential to successful securitisation swaps management Securitisation Swaps is a complete practitioner’s guide to this unique and complex class of derivatives. This detailed examination follows the entire life cycle of securitisation swaps to give quants, structurers, traders, originators, issuers and lawyers a common reference for understanding their shared objective. Broad in scope to provide a common-ground perspective — yet detailed enough to promote full understanding — the discussion takes a distinctly cross-disciplinary approach that encompasses the multi-faceted knowledge base required to successfully execute these complex trades. Despite the fact that the size of the market is trillions of dollars in notional principal, securitisation swaps have thus far been neglected in both academic and practitioner literature. The numerous stakeholders that work together on these complex deals will all greatly benefit from a thorough understanding of their underlying risks and gain deep insight into the perspectives of each stakeholder. This invaluable guide provides multi-disciplinary insight that allows practitioners to: Manage securitisation swaps more effectively, from pre-trade structuring and modelling to post-trade risk management and accounting Understand the elements of securitisation and covered bonds, and how swaps mitigate risk in these types of transactions Explore how securitisation swaps differ from other derivatives and delve into their three specific risk factors — swap prepayment risk, swap extension risk and downgrade risk Learn practical methods and strategies of risk management, accounting, pricing and transaction execution When securitisation trades go wrong, they become front-page news — but when each participant understands accurate modelling, risk mitigation, optimal structuring, costs, pricing, commercial backgrounds and other integral practices, they are able to work together to achieve a shared objective. Securitisation Swaps provides the essential knowledge that streamlines and safeguards these important trades.
The essential guide to fixed-income portfolio management, from experts working with CFA Institute Fixed Income Analysis, 5th Edition delivers an authoritative overview of how successful investment professionals manage fixed-income portfolios. Back with expanded content on the defining elements of fixed income securities, corporate debt, repurchase agreements, term structure models, and more, the 5th edition gives students and practitioners alike the tools to understand and apply effective fixed income portfolio management tactics. Revised and updated by a team of investment experts in collaboration with CFA Institute, this text introduces the fundamental topics of fixed income securities and markets while also providing in-depth coverage of fixed income security valuation. This new edition offers refreshed and expanded content on the analysis and construction of active yield curve and credit strategies for portfolio managers. Thanks to a wealth of real-world examples, Fixed Income Analysis remains an excellent resource for professionals looking to expand upon their current understanding of this important facet of portfolio management, as well as for students in the undergraduate or graduate classroom. Through this text, readers will: Understand the main features and characteristics of fixed income instruments Master the key return and risk measures of fixed income instruments Develop and evaluate key fixed income investment strategies based on top-down and bottom-up analysis The companion workbook (sold separately) includes problems and solutions aligning with the text and allows learners to test their comprehension of key concepts. CFA Institute is the world’s premier association for investment professionals, and the governing body for the CFA® Program, CIPM® Program, CFA Institute ESG Investing Certificate, and Investment Foundations® Program. Investment analysts, portfolio managers, individual and institutional investors and their advisors, and any reader with an interest in fixed income markets will value this accessible and informative guide.
Professional's Handbook of Financial Risk Management is a major reference work in finance. A complete practical reference book covering all aspects of financial risk management including an in-depth look at operational risk management, regulation, risk-based capital, and risk adjusted performance measurement. The book focuses on practical financial risk management techniques and solutions, and is designed to guide the risk professional step-by-step through the implementation of a firm-wide risk management framework. This book covers the various roles of the risk management function. Rather than describing every possible role in exhaustive detail, the authors have provided a story line for each of the discussed topics, including practical issues that a risk manager needs to consider when tackling the subject, possible solutions to difficulties that might be encountered, background knowledge that is essential to know, and more intricate practices and techniques that are being used. By providing these fundamentals, the novice risk professional can gain a thorough understanding of the topic in question while the more experienced professional can use some of the more advanced concepts within the book. Thus the book can be used to broaden your own knowledge of the risk world, both by familiarizing yourself with areas in which you lack experience and by enhancing your knowledge in areas that you already have expertise. All authors are leaders in their field who between them have the expertise and knowledge, both practical and theoretical, to produce this definitive risk management guide. The editors of this book, Marc Lore and Lev Borodovsky, are senior financial risk managers at Sanwa Bank (International) London, and Credit Suisse First Boston, USA respectively. They also run The Global Association of Risk Professionals (GARP), the industry association for financial risk management practitioners and researchers. Endorsed by GARP - Global Association of Risk Professionals Authored and edited by leading financial markets risk professionals International in coverage; the concepts and methods covered are not specific to any country or institution, but rather to the risk management profession as a whole
This book provides a thorough introduction to pricing and risk management of modern financial instruments formulated in precise mathematical language, covering all relevant topics with such a depth of detail that readers are enabled to literally develop their own pricing and risk tools. Accompanying website with hundreds of real world examples.