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Pricing and Hedging Interest and Credit Risk Sensitive Instruments

Pricing and Hedging Interest and Credit Risk Sensitive Instruments PDF Author: Frank Skinner
Publisher: Elsevier
ISBN: 0080473954
Category : Business & Economics
Languages : en
Pages : 389

Book Description
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

Pricing and Hedging Interest and Credit Risk Sensitive Instruments

Pricing and Hedging Interest and Credit Risk Sensitive Instruments PDF Author: Frank Skinner
Publisher: Elsevier
ISBN: 0080473954
Category : Business & Economics
Languages : en
Pages : 389

Book Description
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

International Convergence of Capital Measurement and Capital Standards

International Convergence of Capital Measurement and Capital Standards PDF Author:
Publisher: Lulu.com
ISBN: 9291316695
Category : Bank capital
Languages : en
Pages : 294

Book Description


Managing Interest Rate Risk

Managing Interest Rate Risk PDF Author: John J. Stephens
Publisher: John Wiley & Sons
ISBN:
Category : Business & Economics
Languages : en
Pages : 208

Book Description
This book tackles the subject of interest rate risk, a matter of key importance to all businesses, whether borrowing, investing, saving or trading.

Optimization-Based Models for Measuring and Hedging Risk in Fixed Income Markets

Optimization-Based Models for Measuring and Hedging Risk in Fixed Income Markets PDF Author: Johan Hagenbjörk
Publisher: Linköping University Electronic Press
ISBN: 917929927X
Category :
Languages : sv
Pages : 156

Book Description
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.

Modelling, Pricing, and Hedging Counterparty Credit Exposure

Modelling, Pricing, and Hedging Counterparty Credit Exposure PDF Author: Giovanni Cesari
Publisher: Springer Science & Business Media
ISBN: 3642044549
Category : Business & Economics
Languages : en
Pages : 257

Book Description
It was the end of 2005 when our employer, a major European Investment Bank, gave our team the mandate to compute in an accurate way the counterparty credit exposure arising from exotic derivatives traded by the ?rm. As often happens, - posure of products such as, for example, exotic interest-rate, or credit derivatives were modelled under conservative assumptions and credit of?cers were struggling to assess the real risk. We started with a few models written on spreadsheets, t- lored to very speci?c instruments, and soon it became clear that a more systematic approach was needed. So we wrote some tools that could be used for some classes of relatively simple products. A couple of years later we are now in the process of building a system that will be used to trade and hedge counterparty credit ex- sure in an accurate way, for all types of derivative products in all asset classes. We had to overcome problems ranging from modelling in a consistent manner different products booked in different systems and building the appropriate architecture that would allow the computation and pricing of credit exposure for all types of pr- ucts, to ?nding the appropriate management structure across Business, Risk, and IT divisions of the ?rm. In this book we describe some of our experience in modelling counterparty credit exposure, computing credit valuation adjustments, determining appropriate hedges, and building a reliable system.

Financial Derivatives Pricing: Selected Works Of Robert Jarrow

Financial Derivatives Pricing: Selected Works Of Robert Jarrow PDF Author: Robert A Jarrow
Publisher: World Scientific
ISBN: 9814470635
Category : Business & Economics
Languages : en
Pages : 609

Book Description
This book is a collection of original papers by Robert Jarrow that contributed to significant advances in financial economics. Divided into three parts, Part I concerns option pricing theory and its foundations. The papers here deal with the famous Black-Scholes-Merton model, characterizations of the American put option, and the first applications of arbitrage pricing theory to market manipulation and liquidity risk.Part II relates to pricing derivatives under stochastic interest rates. Included is the paper introducing the famous Heath-Jarrow-Morton (HJM) model, together with papers on topics like the characterization of the difference between forward and futures prices, the forward price martingale measure, and applications of the HJM model to foreign currencies and commodities.Part III deals with the pricing of financial derivatives considering both stochastic interest rates and the likelihood of default. Papers cover the reduced form credit risk model, in particular the original Jarrow and Turnbull model, the Markov model for credit rating transitions, counterparty risk, and diversifiable default risk.

Revisiting Risk-Weighted Assets

Revisiting Risk-Weighted Assets PDF Author: Vanessa Le Leslé
Publisher: International Monetary Fund
ISBN: 1475502656
Category : Business & Economics
Languages : en
Pages : 50

Book Description
In this paper, we provide an overview of the concerns surrounding the variations in the calculation of risk-weighted assets (RWAs) across banks and jurisdictions and how this might undermine the Basel III capital adequacy framework. We discuss the key drivers behind the differences in these calculations, drawing upon a sample of systemically important banks from Europe, North America, and Asia Pacific. We then discuss a range of policy options that could be explored to fix the actual and perceived problems with RWAs, and improve the use of risk-sensitive capital ratios.

A Primer on Managing Sovereign Debt-Portfolio Risks

A Primer on Managing Sovereign Debt-Portfolio Risks PDF Author: Thordur Jonasson
Publisher: International Monetary Fund
ISBN: 1484350545
Category : Business & Economics
Languages : en
Pages : 133

Book Description
This paper provides an overview of sovereign debt portfolio risks and discusses various liability management operations (LMOs) and instruments used by public debt managers to mitigate these risks. Debt management strategies analyzed in the context of helping reach debt portfolio targets and attain desired portfolio structures. Also, the paper outlines how LMOs could be integrated into a debt management strategy and serve as policy tools to reduce potential debt portfolio vulnerabilities. Further, the paper presents operational issues faced by debt managers, including the need to develop a risk management framework, interactions of debt management with fiscal policy, monetary policy, and financial stability, as well as efficient government bond markets.

The Oxford Handbook of Banking

The Oxford Handbook of Banking PDF Author: Allen N. Berger
Publisher: Oxford University Press
ISBN: 0192558080
Category : Business & Economics
Languages : en
Pages : 1365

Book Description
The Oxford Handbook of Banking, Third Edition provides an overview and analysis of developments and research in this rapidly evolving field. Aimed at graduate students of economics, banking, and finance; academics; practitioners; regulators; and policy makers, it strikes a balance between abstract theory, empirical analysis, and practitioner and policy-related material. Split into five distinct parts The Oxford Handbook of Banking is a one-stop source of relevant research in banking. It examines the theory of banking, bank operations and performance, regulatory and policy perspectives, macroeconomic perspectives in banking, and international differences in banking structures and environments. Taking a global perspective it examines banking systems in the United States, China, Japan, Australia and New Zealand, Africa, the European Union, transition countries of Europe, and Latin America. Thematic issues covered include financial innovation and technological change; consumer and mortgage lending; Islamic banking; and how banks influence real economic activity. Fully revised and now including brand new chapters on a range of geographical regions, bank bailouts and bail-ins, and behavioral economics amongst many other topics, this third edition of The Oxford Handbook of Banking provides readers with insights to seminal and contemporary research in banking and an opportunity to learn about the diversity of financial systems around the world.

An Introduction to the Mathematics of Financial Derivatives

An Introduction to the Mathematics of Financial Derivatives PDF Author: Salih N. Neftci
Publisher: Academic Press
ISBN: 0125153929
Category : Business & Economics
Languages : en
Pages : 550

Book Description
A step-by-step explanation of the mathematical models used to price derivatives. For this second edition, Salih Neftci has expanded one chapter, added six new ones, and inserted chapter-concluding exercises. He does not assume that the reader has a thorough mathematical background. His explanations of financial calculus seek to be simple and perceptive.