Interest Rate Swaps and Their Derivatives - Amir Sadr - E-Book

Interest Rate Swaps and Their Derivatives E-Book

Amir Sadr

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Beschreibung

An up-to-date look at the evolution of interest rate swaps and derivatives Interest Rate Swaps and Derivatives bridges the gap between the theory of these instruments and their actual use in day-to-day life. This comprehensive guide covers the main "rates" products, including swaps, options (cap/floors, swaptions), CMS products, and Bermudan callables. It also covers the main valuation techniques for the exotics/structured-notes area, which remains one of the most challenging parts of the market. * Provides a balance of relevant theory and real-world trading instruments for rate swaps and swap derivatives * Uses simple settings and illustrations to reveal key results * Written by an experienced trader who has worked with swaps, options, and exotics With this book, author Amir Sadr shares his valuable insights with practitioners in the field of interest rate derivatives-from traders and marketers to those in operations.

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Seitenzahl: 333

Veröffentlichungsjahr: 2009

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Table of Contents
Title Page
Copyright Page
Preface
″RATES″ MARKET
BACKGROUND
BOOK STRUCTURE
ACKNOWLEDGMENTS
About the Author
List of Symbols and Abbreviations
PART One - Cash, Repo, and Swap Markets
CHAPTER 1 - Bonds: It′s All About Discounting
TIME VALUE OF MONEY: FUTURE VALUE, PRESENT VALUE
PRICE-YIELD FORMULA
PV01, PVBP, CONVEXITY
REPO, REVERSE REPO
FORWARD PRICE/YIELD, CARRY, ROLL-DOWN
CHAPTER 2 - Swaps: It′s Still About Discounting
DISCOUNT FACTOR CURVE, ZERO CURVE
FORWARD RATE CURVE
PAR-SWAP CURVE
CONSTRUCTION OF THE SWAP/LIBOR CURVE
CHAPTER 3 - Interest Rate Swaps in Practice
MARKET INSTRUMENTS
SWAP TRADING—RATES OR SPREADS
SWAP SPREADS
RISK, PV01, GAMMA LADDER
CALENDAR RULES, DATE MINUTIAE
CHAPTER 4 - Separating Forward Curve from Discount Curve
FORWARD CURVES FOR ASSETS
IMPLIED FORWARD RATES
FLOAT/FLOAT SWAPS
LIBOR/LIBOR BASIS SWAPS
OVERNIGHT INDEXED SWAPS (OIS)
PART Two - Interest-Rate Flow Options
CHAPTER 5 - Derivatives Pricing: Risk-Neutral Valuation
EUROPEAN-STYLE CONTINGENT CLAIMS
ONE-STEP BINOMIAL MODEL
FROM ONE TIME-STEP TO TWO
FROM TWO TIME-STEPS TO...
RELATIVE PRICES
RISK-NEUTRAL VALUATION: ALL RELATIVE PRICES MUST BE MARTINGALES
INTEREST-RATE OPTIONS ARE INHERENTLY DIFFICULT TO VALUE
FROM BINOMIAL MODEL TO EQUIVALENT MARTINGALE MEASURES
CHAPTER 6 - Black′s World
A LITTLE BIT OF RANDOMNESS
MODELING ASSET CHANGES
BLACK-SCHOLES-MERTON/BLACK FORMULAE
GREEKS
DIGITALS
CALL IS ALL YOU NEED
CALENDAR/BUSINESS DAYS, EVENT VOLS
CHAPTER 7 - European-Style Interest-Rate Derivatives
MARKET PRACTICE
INTEREST-RATE OPTION TRADES
CAPLETS/FLOORLETS: OPTIONS ON FORWARD RATES
EUROPEAN-STYLE SWAPTIONS
SKEWS, SMILES
CMS PRODUCTS
BOND OPTIONS
PART Three - Interest-Rate Exotics
CHAPTER 8 - Short-Rate Models
A QUICK TOUR
DYNAMICS TO IMPLEMENTATION
LATTICE/TREE IMPLEMENTATION
BDT LATTICE MODEL
HULL-WHITE, BLACK-KARASINSKI MODELS
SIMULATION IMPLEMENTATION
CHAPTER 9 - Bermudan-Style Options
BELLMAN′S EQUATION—BACKWARD INDUCTION
BERMUDAN SWAPTIONS
BERMUDAN CANCELABLE SWAPS, CALLABLE/PUTTABLE BONDS
BERMUDAN-STYLE OPTIONS IN SIMULATION IMPLEMENTATION
CHAPTER 10 - Full Term-Structure Interest-Rate Models
SHIFTING FOCUS FROM SHORT RATE TO FULL CURVE: HO-LEE MODEL
HEATH-JARROW-MORTON (HJM) FULL TERM-STRUCTURE FRAMEWORK
DISCRETE-TIME, DISCRETE-TENOR HJM FRAMEWORK
FORWARD-FORWARD VOLATILITY
MULTIFACTOR MODELS
HJM FRAMEWORK TYPICALLY LEADS TO NONRECOMBINING TREES
CHAPTER 11 - Forward-Measure Lens
NUMERAIRES ARE ARBITRARY
FORWARD MEASURES
BGM/JAMSHIDIAN RESULTS
DIFFERENT MEASURES FOR DIFFERENT RATES
″CLASSIC″ OR ″NEW IMPROVED″: PICK YOUR POISON!
CHAPTER 12 - In Search of ″The″ Model
MIGRATION TO FULL-TERM STRUCTURE MODELS
IMPLEMENTATION ERA
MODEL VERSUS MARKET: LIQUIDITY AND CONCENTRATION RISK
COMPLEXITY RISK
REMAINING CHALLENGES
APPENDIX A - Taylor Series Expansion
APPENDIX B - Mean-Reverting Processes
APPENDIX C - Girsanov′s Theorem and Change of Numeraire
Notes
Index
Founded in 1807, John Wiley & Sons is the oldest independent publishing company in the United States. With offices in North America, Europe, Australia, and Asia, Wiley is globally committed to developing and marketing print and electronic products and services for our customers′ professional and personal knowledge and understanding.
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.
Copyright © 2009 by Amir Sadr. All rights reserved.
Published by John Wiley & Sons, Inc., Hoboken, New Jersey. Published simultaneously in Canada.
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 permitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, (978)750-8400, fax (978) 646-8600, or on the Web at www.copyright.com. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008, or online at http://www.wiley.com/go/permissions.
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 author shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.
For general information on our other products and services or for technical support, please contact our Customer Care Department within the United States at (800) 762-2974, outside the United States at (317) 572-3993 or fax (317) 572-4002.
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Library of Congress Cataloging-in-Publication Data:
Sadr, Amir, 1963-
Interest rate swaps and their derivatives: a practitioner′s guide / Amir Sadr.
p. cm. - (Wiley finance series)
Includes bibliographical references and index.
eISBN : 978-0-470-52611-8
1. Interest rate swaps. 2. Interest rate futures. 3. Derivative securities. I. Title.
HG6024.5.S32 2009
332.63′ 23-dc22
2009008840
Preface
The market for interest rate swaps and their derivatives has experienced tremendous growth since its beginning in the early 1980s, and swaps are now a key component of capital markets. While trading in swaps and their derivatives was initially the domain of major money-center banks, most investment and commercial banks these days run a swaps and options desk alongside their cash and repo desks.

″RATES″ MARKET

The ″rates″ market consists of swaps, flow options (caps/floors, European swaptions), Bermudan swaptions, some semi-exotics (CMS/CMT products), and exotics (structured notes, . . .). While at some point, Bermudan swaptions were considered exotics, their popularity and volume has made them into an integral part of the interest-rate options market.
While a newcomer to a typical broker-dealer trading floor can find ample background material on the bond and repo markets, he is often overwhelmed by the instruments and the technical requirements to understand swaps and their derivatives. For bonds and repos, a typical analyst can use a Bloomberg terminal or the financial toolkit in Excel, or even an HP-12 calculator to get up and running. However, for swaps and options, he has to typically master the in-house derivatives system with many moving parts and nonstandard terms. The analyst can quickly become discouraged, and think of swaps and options to be the domain of quants and tech-savvy individuals who can handle such seeming complexity. Some of this complexity is merely the terms used in the swaps market: receiving/paying in swap lingo instead of buying/selling cash bonds—economically the same things—while for the options and exotics markets the complexity is real. The goal of this book is to break down some of this complexity.

BACKGROUND

This book came about over the past 15 years as alongside my day time Wall Street job, I periodically taught an evening course on interest-rate swaps and options at NYU′s School of Continuing and Professional Studies. Each semester, I was asked what a good book would be to accompany the course. My answer has always been, ″I have yet to find a book,″ and instead I would use notes gathered from various sources that I would pass out in the class. Moreover, in my last trading job, I was assigned to mentor the entry-level analyst class in their rotation on the fixed income (repo, treasury, swaps, options) desks, and was asked to assemble a required reading list for them. Again, I would have liked to recommend one book that would most directly and expeditiously get the analysts up to speed both in theory and more important the practice—so that we could extract the most work out of them!—but I still could not find such a book or training manual, and would end up recommending various chapters from a selection of books.

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