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A comprehensive, in-depth look at global debt capital markets in the post-crisis world Fully updated with comprehensive coverage of the post-crisis debt markets and their impact on key industry issues, Fixed Income Markets: Management, Trading, and Hedging, Second Edition offers insights into derivative pricing, cross-currency hedging, and new liquidity legislation. Written by Choudhry, Moskovic, and Wong, Fixed Income Markets is an indispensable read for anyone working in bond markets, interest-rate markets, and credit derivatives markets looking to better understand today's debt markets. This acclaimed book takes a unique look into the leading practices in bond markets as well as post-credit-crunch impacts on pricing that are rarely captured in textbooks. The new edition provides expanded coverage on a wide range of topics within hedging, derivatives, bonds, rebalancing, and global debt capital markets. New topics include: * Dynamic hedging practices and cross-currency hedging * Collateralized and uncollateralized derivatives, and their impact on valuation * Callable bonds, pricing, trading, and regulatory aspects related to liquidity * Rebalancing as a method for capturing contingencies and other complex imbedded risks As a bonus, the book includes reference information for statistical concepts and fixed income pricing, as well as a full glossary and index. Written in Choudhry's usual accessible style, Fixed Income Markets is a comprehensive and in-depth account of the global debt capital markets in today's post-crisis world.
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Veröffentlichungsjahr: 2014
The Wiley Finance series contains books written specifically for finance and investment professionals as well as sophisticated individual investors and their financial advisors. Book topics range from portfolio management to e-commerce, risk management, financial engineering, valuation, and financial instrument analysis, as well as much more. For a list of available titles, visit our Web site at www.WileyFinance.com.
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MOORAD CHOUDHRY
DAVID MOSKOVIC
MAX WONG
With contributions from Suleman Baig, Zhuoshi Liu, Michele Lizzio and Alexandru Voicu
Cover Design: Wiley Cover Image: © iStock.com/Robin_Hoood
Copyright © 2014 by Moorad Choudhry
First edition published by John Wiley & Sons in 2004. Published by John Wiley & Sons Singapore Pte. Ltd. 1 Fusionopolis Walk, #07-01, Solaris South Tower, Singapore 138628
All rights reserved.
No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as expressly permitted by law, without either the prior written permission of the Publisher, or authorization through payment of the appropriate photocopy fee to the Copyright Clearance Center. Requests for permission should be addressed to the Publisher, John Wiley & Sons Singapore Pte. Ltd., 1 Fusionopolis Walk, #07-01, Solaris South Tower, Singapore 138628, tel: 65–6643–8000, fax: 65–6643–8008, e-mail: [email protected].
Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives or written sales materials. The advice and strategies contained herein may not be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor the author shall be liable for any damages arising herefrom.
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Library of Congress Cataloging-in-Publication Data
Choudhry, Moorad. Fixed income markets : management, trading and hedging / Moorad Choudhry, David Moskovic, Max Wong ; with contributions from Zhuoshi Liu and Alexandru Voicu. — Second edition. pages cm. — (The Wiley finance series) Includes index. ISBN 978-1-118-17172-1 (hardback); ISBN 978-1-118-17174-5 (ebk); ISBN 978-1-118-17175-2 (ebk) 1. Fixed-income securities. I. Title. HG4650.C447 2014 332.63′2044—dc23
2014007537
The views, thoughts and opinions expressed in this book represent those of the authors in their individual private capacity, and should not in any way be attributed to The Royal Bank of Scotland plc or to Royal Bank of Scotland Group, or to Moorad Choudhry, David Moskovic, or Max Wong as representatives, officers, or employees of The Royal Bank of Scotland plc or Royal Bank of Scotland Group.
This book does not constitute investment advice, and its contents should not be construed as such. Any opinion expressed does not constitute a recommendation to any reader. The contents should not be considered as a recommendation to deal, and the authors do not accept liability for actions resulting from a reading of any material in this book.
Whilst every effort has been made to ensure accuracy, no responsibility for loss occasioned to any person acting or refraining from action as a result of any material in this book can be accepted by the authors, publisher, or any named person or corporate entity.
The material in this book is based on information that is considered reliable, but neither the authors nor the publisher warrant that it is accurate or complete, and it should not be relied on as such. Opinions expressed are current opinions only and are subject to change. The authors and publisher are not soliciting any action based upon this material. The authors and any named person or entity may or may not have a position in any capital market instrument described in this book, at the time of writing or subsequently. Any such position is subject to change at any time and for any reason.
For Lindsay . . .
YOU are the best thing that ever happened to me.
—Moorad Choudhry
Foreword
Preface
Acknowledgments
About the Authors
PART ONE Introduction to Bonds
CHAPTER 1 The Bond Instrument
Bond-Market Basics
Capital Market Participants
Investors
World Bond Markets
Overview of the Main Bond Markets
Time Value of Money
Bond Pricing and Yield: The Traditional Approach
Bond Yield
Selected Bibliography and References
Notes
CHAPTER 2 Bond Instruments and Interest-Rate Risk
Duration, Modified Duration, and Convexity
Appendices
Appendix 2.1 Formal Derivation of Modified-Duration Measure
Appendix 2.2 Measuring Convexity
Appendix 2.3 Taylor Expansion of the Price/Yield Function
Selected Bibliography and References
Notes
CHAPTER 3 Bond Pricing, Spot, and Forward Rates
Basic Concepts
Coupon Bonds
Bond Price in Continuous Time
Forward Rates
Term Structure Hypotheses
Evidence on the Expectations Hypothesis
Appendices
Appendix 3.1 The Integral
Appendix 3.2 The Derivation of the Bond Price Equation in Continuous Time
Notes
Selected Bibliography and References
CHAPTER 4 Interest-Rate Modelling
Background
One-Factor Term-Structure Models
Choosing a Term-Structure Model
Appendix
Appendix 4.1 Geometric Brownian Motion
Notes
Selected Bibliography and References
CHAPTER 5 Fitting the Yield Curve
Yield-Curve Smoothing
Non-parametric Methods
Comparing Curves
Yield Curve Construction: A Practical Guide
Appendices
Appendix 5.1 Linear Regression: Ordinary Least Squares
Appendix 5.2 Regression Splines
Notes
Selected Bibliography and References
PART TWO Selected Market Instruments
CHAPTER 6 The Money Markets
Overview
Securities Quoted on a Yield Basis
The Repo Instrument
Money-Market Derivatives
Short-Term Interest-Rate Futures
Appendices
Appendix 6.1
Notes
Selected Bibliography and References
CHAPTER 7 Hybrid Securities and Structured Securities
Floating-Rate Notes
Indexed Amortising Note
Synthetic Convertible Note
Interest-Differential Notes
Convertible Bonds
Contingent Convertible Securities
References
CHAPTER 8 Bonds with Embedded Options and Option-Adjusted Spread Analysis
Understanding Embedded-Option Elements in a Bond
The Binomial Tree of Short-Term Interest Rates
Price Volatility of Bonds with Embedded Options
Correct Way to Risk-Manage a Callable Note
Appendices
Appendix 8.1 Calculating Interest Rate Paths Using Microsoft Excel
Notes
Selected Bibliography and References
CHAPTER 9 Inflation-Indexed Bonds and Derivatives
Basic Concepts
Index-Linked Bond Yields
Inflation-Indexed Derivatives
Applications
Appendices
Appendix 9.1 Current Issuers of Public-Sector Indexed Securities
Appendix 9.2 U.S. Treasury Inflation-Indexed Securities (TIPS)
Notes
Selected Bibliography and References
CHAPTER 10 Introduction to Securitisation and Asset-Backed Securities
The Concept of Securitisation
The Process of Securitisation
Securitising Mortgages
ABS Structures: A Primer on Performance Metrics and Test Measures
The Securitisation Market Post-2007
Special Purpose Vehicles (SPVs)
Summary and Conclusions
Notes
Selected Bibliography and References
PART THREE Derivative Instruments
Recommended Reading
CHAPTER 11 Forwards and Futures Valuation
Introduction
Forwards
Futures
Forwards and Futures
Cash Flow Differences
Relationship between Forward and Future Price
The Forward-Spot Parity
The Basis and Implied Repo Rate
Notes
Selected Bibliography and References
CHAPTER 12 Bond Futures Contracts
Background
Bond Futures Contracts
Futures Pricing
Hedging Using Futures
The Margin Process
Appendix
Appendix 12.1 The Conversion Factor for the Long Gilt Future
Notes
Selected Bibliography and References
CHAPTER 13 Swaps
Interest-Rate Swaps
Generic Swap Valuation
Asset Swaps
An Overview of Interest-Rate Swap Applications
Bloomberg Screens
Appendix
Appendix 13.1 Calculating Futures Strip Rates and Implied Swap Rates
Notes
Selected Bibliography and References
CHAPTER 14 Credit Derivatives I: Instruments and Applications
Credit Risk
Credit Risk and Credit Derivatives
Applications
Credit Event
Credit Derivative Instruments
Credit-Linked Notes
Sidebar: Uncollateralised CDS
The iTraxx Index Note
Applications for Portfolio Managers
Risks in Credit Default Swaps
Big Bang in CDS
Conclusion
Appendix
Appendix 14.1 Bond Credit Ratings
Notes
Selected Bibliography and References
CHAPTER 15 Credit Derivatives II: Pricing, Valuation, and the Basis
Introduction
Asset Swap Pricing
Pricing Models
Notes
Selected Bibliography and References
CHAPTER 16 Options I
Background
Option Instruments
Option Pricing: Setting the Scene
Option Pricing
The Black-Scholes Option Model
Interest-Rate Options and the Black Model
Comment on the Black-Scholes Model
A Final Word on Option Models
Appendices
Appendix 16.2 Lognormal Distribution of Returns
Appendix 16.3 Black-Scholes Model in Microsoft Excel
Notes
Selected Bibliography and References
CHAPTER 17 Options II
Behaviour of Option Prices
Assessing Time Value
American Options
Measuring Option Risk: The Greeks
Delta
Gamma
Theta
Vega
Rho
Lambda
The Option Smile
Notes
Selected Bibliography and References
PART FOUR Bond Trading and Hedging
CHAPTER 18 Value-at-Risk and Credit VaR
Introducing Value-at-Risk
Explaining Value-at-Risk
Value-at-Risk for Fixed-Income Derivative Instruments
Stress Testing
Value-at-Risk Methodology for Credit Risk
Appendix 18.1 Assumption of Normality
Notes
Selected Bibliography and References
CHAPTER 19 Government Bond Analysis, the Yield Curve, and Relative-Value Trading
The Determinants of Yield
Practical Uses of Redemption Yield and Duration
Implied Spot Rates and Market Zero-Coupon Yields
Yield-Spread Trades
Coupon Spread
Butterfly Trades
Case Study: Spread Trade
Notes
Selected Bibliography and References
CHAPTER 20 Approaches to Trading and Hedging
Futures Trading
Yield Curves and Relative Value
Yield-Spread Trades
Hedging Bond Positions
Bond Analysis Using Spot Rates and Forward Rates in Continuous Time
Bond Prices as a Function of Spot and Forward Rates
Appendices
Appendix 20.1 Summary of Derivation of Optimum Hedge Equation
Appendix 20.2 Forward-Rate Structure in Conventional Yield-Curve Environment
Notes
Selected Bibliography
CHAPTER 21 Derivatives Risk Management: Convexity, Collateral, and Correlation
Abstract
Why Correlation Occurs in the Markets
Correlation and Causation
How Can We Define Correlation?
Measuring Correlation
Correlation Swaps, Pricing, and Their Risks
Quantos, Pricing, and their Risks
Differences between Instantaneous and Terminal Volatilities and Correlations
Hedging a Portfolio of Correlation Swaps and Quantos
Uncollateralised Derivatives and Note Discounting
Explanation of the Risk-Neutral Measure
What Does Discounting Really Represent?
Pricing an Uncollateralised Cash Flow
Graph of PV from Different CSAs
Senior Unsecured Bonds: Equivalence to Uncollateralised Derivatives
Funding a Trading Book
A Diversion: St. Petersburg Paradox and Credit Risk
Making Money for Whom?
Chapter Summary
APPENDIX A Statistical Concepts
Mean and Standard Deviation
APPENDIX B Basic Tools
Summation and Product Operators
Standard Brownian Motion and the Dynamics of the Asset-Price Process
The Integral Calculus
Stochastic Integrals
APPENDIX C Introduction to the Mathematics of Fixed-Income Pricing
Bond Pricing
Yield to Maturity (YTM)
Expectation Hypothesis
Notes
References
APPENDIX D About the Companion Website
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