Download or read book The Price of Interest Rate Variance Risk and Optimal Investments in Interest Rate Derivatives written by Anders B. Trolle and published by . This book was released on 2011 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent research on unspanned stochastic variance raises the possibility that interest rate derivatives constitute an important component of optimal fixed income portfolios. In this paper, I estimate a flexible dynamic term structure model that allows for unspanned stochastic variance on an extensive data set of swaps and swaptions. I find that variance risk is predominantly unspanned by bonds, and that the price of risk on the unspanned variance factor is significantly larger in absolute value than the prices of risk on the term structure factors. Consequently, Sharpe ratios on variance sensitive derivatives are about three times larger than Sharpe ratios on bonds or short-term bond futures. These findings are corroborated by an analysis of the Treasury futures market, where the variance risk premium is estimated with a model independent approach. I then solve the dynamic portfolio choice problem for a long-term fixed income investor with and without access to interest rate derivatives and find substantial utility gains from participating in the derivatives market.

Download or read book Optimization Based Models for Measuring and Hedging Risk in Fixed Income Markets written by Johan Hagenbjörk and published by Linköping University Electronic Press. This book was released on 2019-12-09 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: The global fixed income market is an enormous financial market whose value by far exceeds that of the public stock markets. The interbank market consists of interest rate derivatives, whose primary purpose is to manage interest rate risk. The credit market primarily consists of the bond market, which links investors to companies, institutions, and governments with borrowing needs. This dissertation takes an optimization perspective upon modeling both these areas of the fixed-income market. Legislators on the national markets require financial actors to value their financial assets in accordance with market prices. Thus, prices of many assets, which are not publicly traded, must be determined mathematically. The financial quantities needed for pricing are not directly observable but must be measured through solving inverse optimization problems. These measurements are based on the available market prices, which are observed with various degrees of measurement noise. For the interbank market, the relevant financial quantities consist of term structures of interest rates, which are curves displaying the market rates for different maturities. For the bond market, credit risk is an additional factor that can be modeled through default intensity curves and term structures of recovery rates in case of default. By formulating suitable optimization models, the different underlying financial quantities can be measured in accordance with observable market prices, while conditions for economic realism are imposed. Measuring and managing risk is closely connected to the measurement of the underlying financial quantities. Through a data-driven method, we can show that six systematic risk factors can be used to explain almost all variance in the interest rate curves. By modeling the dynamics of these six risk factors, possible outcomes can be simulated in the form of term structure scenarios. For short-term simulation horizons, this results in a representation of the portfolio value distribution that is consistent with the realized outcomes from historically observed term structures. This enables more accurate measurements of interest rate risk, where our proposed method exhibits both lower risk and lower pricing errors compared to traditional models. We propose a method for decomposing changes in portfolio values for an arbitrary portfolio into the risk factors that affect the value of each instrument. By demonstrating the method for the six systematic risk factors identified for the interbank market, we show that almost all changes in portfolio value and portfolio variance can be attributed to these risk factors. Additional risk factors and approximation errors are gathered into two terms, which can be studied to ensure the quality of the performance attribution, and possibly improve it. To eliminate undesired risk within trading books, banks use hedging. Traditional methods do not take transaction costs into account. We, therefore, propose a method for managing the risks in the interbank market through a stochastic optimization model that considers transaction costs. This method is based on a scenario approximation of the optimization problem where the six systematic risk factors are simulated, and the portfolio variance is weighted against the transaction costs. This results in a method that is preferred over the traditional methods for all risk-averse investors. For the credit market, we use data from the bond market in combination with the interbank market to make accurate measurements of the financial quantities. We address the notoriously difficult problem of separating default risk from recovery risk. In addition to the previous identified six systematic risk factors for risk-free interests, we identify four risk factors that explain almost all variance in default intensities, while a single risk factor seems sufficient to model the recovery risk. Overall, this is a higher number of risk factors than is usually found in the literature. Through a simple model, we can measure the variance in bond prices in terms of these systematic risk factors, and through performance attribution, we relate these values to the empirically realized variances from the quoted bond prices. De globala ränte- och kreditmarknaderna är enorma finansiella marknader vars sammanlagda värden vida överstiger de publika aktiemarknadernas. Räntemarknaden består av räntederivat vars främsta användningsområde är hantering av ränterisker. Kreditmarknaden utgörs i första hand av obligationsmarknaden som syftar till att förmedla pengar från investerare till företag, institutioner och stater med upplåningsbehov. Denna avhandling fokuserar på att utifrån ett optimeringsperspektiv modellera både ränte- och obligationsmarknaden. Lagstiftarna på de nationella marknaderna kräver att de finansiella aktörerna värderar sina finansiella tillgångar i enlighet med marknadspriser. Därmed måste priserna på många instrument, som inte handlas publikt, beräknas matematiskt. De finansiella storheter som krävs för denna prissättning är inte direkt observerbara, utan måste mätas genom att lösa inversa optimeringsproblem. Dessa mätningar görs utifrån tillgängliga marknadspriser, som observeras med varierande grad av mätbrus. För räntemarknaden utgörs de relevanta finansiella storheterna av räntekurvor som åskådliggör marknadsräntorna för olika löptider. För obligationsmarknaden utgör kreditrisken en ytterligare faktor som modelleras via fallissemangsintensitetskurvor och kurvor kopplade till förväntat återvunnet kapital vid eventuellt fallissemang. Genom att formulera lämpliga optimeringsmodeller kan de olika underliggande finansiella storheterna mätas i enlighet med observerbara marknadspriser samtidigt som ekonomisk realism eftersträvas. Mätning och hantering av risker är nära kopplat till mätningen av de underliggande finansiella storheterna. Genom en datadriven metod kan vi visa att sex systematiska riskfaktorer kan användas för att förklara nästan all varians i räntekurvorna. Genom att modellera dynamiken i dessa sex riskfaktorer kan tänkbara utfall för räntekurvor simuleras. För kortsiktiga simuleringshorisonter resulterar detta i en representation av fördelningen av portföljvärden som väl överensstämmer med de realiserade utfallen från historiskt observerade räntekurvor. Detta möjliggör noggrannare mätningar av ränterisk där vår föreslagna metod uppvisar såväl lägre risk som mindre prissättningsfel jämfört med traditionella modeller. Vi föreslår en metod för att dekomponera portföljutvecklingen för en godtycklig portfölj till de riskfaktorer som påverkar värdet för respektive instrument. Genom att demonstrera metoden för de sex systematiska riskfaktorerna som identifierats för räntemarknaden visar vi att nästan all portföljutveckling och portföljvarians kan härledas till dessa riskfaktorer. Övriga riskfaktorer och approximationsfel samlas i två termer, vilka kan användas för att säkerställa och eventuellt förbättra kvaliteten i prestationshärledningen. För att eliminera oönskad risk i sina tradingböcker använder banker sig av hedging. Traditionella metoder tar ingen hänsyn till transaktionskostnader. Vi föreslår därför en metod för att hantera riskerna på räntemarknaden genom en stokastisk optimeringsmodell som också tar hänsyn till transaktionskostnader. Denna metod bygger på en scenarioapproximation av optimeringsproblemet där de sex systematiska riskfaktorerna simuleras och portföljvariansen vägs mot transaktionskostnaderna. Detta resulterar i en metod som, för alla riskaverta investerare, är att föredra framför de traditionella metoderna. På kreditmarknaden använder vi data från obligationsmarknaden i kombination räntemarknaden för att göra noggranna mätningar av de finansiella storheterna. Vi angriper det erkänt svåra problemet att separera fallissemangsrisk från återvinningsrisk. Förutom de tidigare sex systematiska riskfaktorerna för riskfri ränta, identifierar vi fyra riskfaktorer som förklarar nästan all varians i fallissemangsintensiteter, medan en enda riskfaktor tycks räcka för att modellera återvinningsrisken. Sammanlagt är detta ett större antal riskfaktorer än vad som brukar användas i litteraturen. Via en enkel modell kan vi mäta variansen i obligationspriser i termer av dessa systematiska riskfaktorer och genom prestationshärledningen relatera dessa värden till de empiriskt realiserade varianserna från kvoterade obligationspriser.

Download or read book Derivatives and Internal Models written by Hans-Peter Deutsch and published by Springer Nature. This book was released on 2019-10-08 with total page 897 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its fifth edition, Derivatives and Internal Models provides a comprehensive and thorough introduction to derivative pricing, risk management and portfolio optimization, covering all relevant topics with enough hands-on, depth of detail to enable readers to develop their own pricing and risk tools. The book provides insight into modern market risk quantification methods such as variance-covariance, historical simulation, Monte Carlo, hedge ratios, etc., including time series analysis and statistical concepts such as GARCH Models or Chi-Square-distributions. It shows how optimal trading decisions can be deduced once risk has been quantified by introducing risk-adjusted performance measures and a complete presentation of modern quantitative portfolio optimization. Furthermore, all the important modern derivatives and their pricing methods are presented; from basic discounted cash flow methods to Black-Scholes, binomial trees, differential equations, finite difference schemes, Monte Carlo methods, Martingales and Numeraires, terms structure models, etc. The fifth edition of this classic finance book has been comprehensively reviewed. New chapters/content cover multicurve bootstrapping, the valuation and hedging of credit default risk that is inherently incorporated in every derivative—both of which are direct and permanent consequences of the financial crises with a large impact on our understanding of modern derivative valuation. The book will be accompanied by downloadable Excel spread sheets, which demonstrate how the theoretical concepts explained in the book can be turned into valuable algorithms and applications and will serve as an excellent starting point for the reader’s own bespoke solutions for valuation and risk management systems.

Download or read book Interest Rate Futures Markets and Capital Market Theory written by Klaus Kobold and published by Walter de Gruyter. This book was released on 2011-07-22 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Above all the study is intended to shed more light on the following questions: - the functioning of interest rate futures markets, - the behaviour and transactions of economic agents in these markets, -factors determining the results of transactionsin interest rate future markets. Above we argued that these markets emerged in an environment of fluctuating interest rates to provide traders in financial markets with an instrument to deal with the risk stemming from unexpected price changes. It will be this hedging aspect of interest rate futures markets on which the following research is concentrated. The main points to be investigated are: - to what extent interest rate risk is reduced or even abolished, - the effects of futures trading in interest-bearing securities on risk and return of single assets and portfolios, - the consequences on the situation of participants in capital markets, - optimal strategies to reduce the exposure to interest rate risk.

Download or read book Interest Rate Derivatives Explained Volume 2 written by Jörg Kienitz and published by Springer. This book was released on 2017-11-08 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on Interest Rate Derivatives has three parts. The first part is on financial products and extends the range of products considered in Interest Rate Derivatives Explained I. In particular we consider callable products such as Bermudan swaptions or exotic derivatives. The second part is on volatility modelling. The Heston and the SABR model are reviewed and analyzed in detail. Both models are widely applied in practice. Such models are necessary to account for the volatility skew/smile and form the fundament for pricing and risk management of complex interest rate structures such as Constant Maturity Swap options. Term structure models are introduced in the third part. We consider three main classes namely short rate models, instantaneous forward rate models and market models. For each class we review one representative which is heavily used in practice. We have chosen the Hull-White, the Cheyette and the Libor Market model. For all the models we consider the extensions by a stochastic basis and stochastic volatility component. Finally, we round up the exposition by giving an overview of the numerical methods that are relevant for successfully implementing the models considered in the book.

Download or read book Interest Rate Risk Modeling written by Sanjay K. Nawalkha and published by John Wiley & Sons. This book was released on 2005-05-09 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Interest Rate Management written by Rudi Zagst and published by Springer Science & Business Media. This book was released on 2002-04-24 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book combines a rigorous overview of the mathematics of financial markets with an insight into the practical application of these models to the risk and portfolio management of interest-rate derivatives. It can also serve as a valuable textbook on financial markets for graduate and PhD students in mathematics. Interesting and comprehensive case studies illustrate the theoretical concepts.

Download or read book Riding the Yield Curve Risk Taking Behavior in a Low Interest Rate Environment written by Mr.Ralph Chami and published by International Monetary Fund. This book was released on 2020-03-13 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Investors seek to hedge against interest rate risk by taking long or short positions on bonds of different maturities. We study changes in risk taking behavior in a low interest rate environment by estimating a market stochastic discount factor that is non-linear and therefore consistent with the empirical properties of cashflow valuations identified in the literature. We provide evidence that non-linearities arise from hedging strategies of investors exposed to interest rate risk. Capital losses are amplified when interest rates increase and risk averse investors have taken positions on instruments with longer maturity, expecting instead interest rates to revert back to their historical average.

Download or read book Measuring and Controlling Interest Rate and Credit Risk written by Frank J. Fabozzi and published by John Wiley & Sons. This book was released on 2003-09-10 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measuring and Controlling Interest Rate and Credit Risk provides keys to using derivatives to control interest rate risk and credit risk, and controlling interest rate risk in a mortgage-backed securities derivative portfolio. This book includes information on measuring yield curve risk, swaps and exchange-traded options, TC options and related products, and describes how to measure and control the interest rate of risk of a bond portfolio or trading position. Measuring and Controlling Interest Rate and Credit Risk is a systematic evaluation of how to measure and control the interest rate risk and credit risk of a bond portfolio or trading position, defining key points in the process of risk management as related to financial situations. The authors construct a verbal flow chart, defining and illustrating interest rate risk and credit risk in regards to valuation, probability distributions, forecasting yield volatility, correlation and regression analyses. Hedging instruments discussed include futures contracts, interest rate swaps, exchange traded options, OTC options, and credit derivatives. The text includes calculated examples and readers will learn how to measure and control the interest rate risk and credit risk of a bond portfolio or trading position. They will discover value at risk approaches, valuation, probability distributions, yield volatility, futures, interest rate swaps, exchange traded funds; and find in-depth, up-to-date information on measuring interest rate with derivatives, quantifying the results of positions, and hedging. Frank J. Fabozzi (New Hope, PA) is a financial consultant, the Editor of the Journal of Portfolio Management, and an Adjunct Professor of Finance at Yale University?s School of Management. Steven V. Mann (Columbia, SC) is Professor of Finance at the Moore School of Business, University of South Carolina. Moorad Choudhry (Surrey, UK) is a Vice President with JPMorgan Chase structured finance services in London. Moorad Choudhry (Surrey, England) is a senior Fellow at the Centre for Mathematical Trading and Finance, CASS Business School, London, and is Editor of the Journal of Bond Trading and Management. He has authored a number of books on fixed income analysis and the capital markets. Moorad began his City career with ABN Amro Hoare Govett Sterling Bonds Limited, where he worked as a gilt-edged market maker, and Hambros Bank Limited where he was a sterling proprietary trader. He is currently a vice-president in Structured Finance Services with JPMorgan Chase Bank in London.

Download or read book Interest Rate Term Structure and Valuation Modeling written by Frank J. Fabozzi, CFA and published by John Wiley & Sons. This book was released on 2002-11-01 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ultimate guide contains an excellent blend of theory and practice This comprehensive guide covers various aspects of model building for fixed income securities and derivatives. Filled with expert advice, valuable insights, and advanced modeling techniques, Interest Rate, Term Structure, and Valuation Modeling is a book that all institutional investors, portfolio managers, and risk professionals should have. John Wiley & Sons, Inc. is proud to be the publisher of the esteemed Frank J. Fabozzi Series. Comprising nearly 100 titles-which include numerous bestsellers—The Frank J. Fabozzi Series is a key resource for finance professionals and academics, strategists and students, and investors. The series is overseen by its eponymous editor, whose expert instruction and presentation of new ideas have been at the forefront of financial publishing for over twenty years. His successful career has provided him with the knowledge, insight, and advice that has led to this comprehensive series. Frank J. Fabozzi, PhD, CFA, CPA, is Editor of the Journal of Portfolio Management, which is read by thousands of institutional investors, as well as editor or author of over 100 books on finance for the professional and academic markets. Currently, Dr. Fabozzi is an adjunct Professor of Finance at Yale University's School of Management and on the board of directors of the Guardian Life family of funds and the Black Rock complex of funds.

Download or read book Interest Rate Term Structure and Valuation Modeling written by Frank J. Fabozzi and published by John Wiley & Sons. This book was released on 2002-11-29 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ultimate guide contains an excellent blend of theory and practice This comprehensive guide covers various aspects of model building for fixed income securities and derivatives. Filled with expert advice, valuable insights, and advanced modeling techniques, Interest Rate, Term Structure, and Valuation Modeling is a book that all institutional investors, portfolio managers, and risk professionals should have. John Wiley & Sons, Inc. is proud to be the publisher of the esteemed Frank J. Fabozzi Series. Comprising nearly 100 titles-which include numerous bestsellers—The Frank J. Fabozzi Series is a key resource for finance professionals and academics, strategists and students, and investors. The series is overseen by its eponymous editor, whose expert instruction and presentation of new ideas have been at the forefront of financial publishing for over twenty years. His successful career has provided him with the knowledge, insight, and advice that has led to this comprehensive series. Frank J. Fabozzi, PhD, CFA, CPA, is Editor of the Journal of Portfolio Management, which is read by thousands of institutional investors, as well as editor or author of over 100 books on finance for the professional and academic markets. Currently, Dr. Fabozzi is an adjunct Professor of Finance at Yale University's School of Management and on the board of directors of the Guardian Life family of funds and the Black Rock complex of funds.

Download or read book Interest Rate Dynamics Derivatives Pricing and Risk Management written by Lin Chen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are two types of tenn structure models in the literature: the equilibrium models and the no-arbitrage models. And there are, correspondingly, two types of interest rate derivatives pricing fonnulas based on each type of model of the tenn structure. The no-arbitrage models are characterized by the work of Ho and Lee (1986), Heath, Jarrow, and Morton (1992), Hull and White (1990 and 1993), and Black, Dennan and Toy (1990). Ho and Lee (1986) invent the no-arbitrage approach to the tenn structure modeling in the sense that the model tenn structure can fit the initial (observed) tenn structure of interest rates. There are a number of disadvantages with their model. First, the model describes the whole volatility structure by a sin gle parameter, implying a number of unrealistic features. Furthennore, the model does not incorporate mean reversion. Black-Dennan-Toy (1990) develop a model along tbe lines of Ho and Lee. They eliminate some of the problems of Ho and Lee (1986) but create a new one: for a certain specification of the volatility function, the short rate can be mean-fteeting rather than mean-reverting. Heath, Jarrow and Morton (1992) (HJM) construct a family of continuous models of the term struc ture consistent with the initial tenn structure data.

Download or read book Fixed Income and Interest Rate Derivative Analysis written by Mark Britten-Jones and published by Elsevier. This book was released on 1998-10-15 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fixed Income and Interest Rate Derivative Analysis gives a clear and accessible approach to the analytical techniques of debt instrument valuation. Without using complicated mathematical abstractions, this text shows that the fundamentals of fixed income and interest rate derivate analysis can be easily understood when seen as a small number of simple economic concepts. Concepts inroduced in this book are reinforced and explained, not with the use of high-powered mathematics, but with actual examples of various market instruments and case studies from North America, Europe, Australia and Hong Kong. The text also contains review questions which aid the reader in their understanding. Mark Britten-Jones, BEcon, MA, PhD, is an Assistant Professor of Finance at the London Business School where he teaches Fixed Income Securities and Markets as part of a MBA and Master's course in Finance. A comprehensive and accessible explanation of underlying theory, and its practical application Case studies and worked examples from around the world's capital markets How to use spreadsheet modelling in fixed income and interest rate derivative valuation

Download or read book Interest Rate Derivatives Explained written by Joerg Kienitz and published by . This book was released on 2014 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Interest Rate Risk Measurement and Management written by Sanjay K. Nawalkha and published by I.I. Books. This book was released on 1999 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest Rate Risk Measurement and Management presents a collection of the key contributions in fixed-income investment research. This complete practitioners' manual showcases every major topic in interest rate risk management with detailed analyses and full treatment of equations and statistical measures. It is a substantial investment resource on: single and multi-factor duration risk measures; interest rate risk models for fixed income derivatives; and interest rate risk models for depositories, thrifts, the FDIC, insurers and pension funds.

Download or read book Interest Rate Markets written by Siddhartha Jha and published by John Wiley & Sons. This book was released on 2011-03-28 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: How to build a framework for forecasting interest rate market movements With trillions of dollars worth of trades conducted every year in everything from U.S. Treasury bonds to mortgage-backed securities, the U.S. interest rate market is one of the largest fixed income markets in the world. Interest Rate Markets: A Practical Approach to Fixed Income details the typical quantitative tools used to analyze rates markets; the range of fixed income products on the cash side; interest rate movements; and, the derivatives side of the business. Emphasizes the importance of hedging and quantitatively managing risks inherent in interest rate trades Details the common trades which can be used by investors to take views on interest rates in an efficient manner, the methods used to accurately set up these trades, as well as common pitfalls and risks?providing examples from previous market stress events such as 2008 Includes exclusive access to the Interest Rate Markets Web site which includes commonly used calculations and trade construction methods Interest Rate Markets helps readers to understand the structural nature of the rates markets and to develop a framework for thinking about these markets intuitively, rather than focusing on mathematical models

Download or read book Interest Rate Derivatives Explained written by J. Kienitz and published by Springer. This book was released on 2014-12-05 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at practitioners who need to understand the current fixed income markets and learn the techniques necessary to master the fundamentals, this book provides a thorough but concise description of fixed income markets, looking at the business, products and structures and advanced modeling of interest rate instruments.