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STEVEN V. MANN, PhD, is Professor of Finance at the Moore School of Business, University of South Carolina. He has published over seventy articles in finance journals and many books on fixed income and derivatives topics, including The Global Money Markets, Measuring and Controlling Interest Rate and Credit Risk, Securities Finance (as a coeditor), and The Handbook of Fixed Income Securities (as an assistant editor). Mann is an active consultant to clients that include some of the largest investment/commercial banks in the world as well as a number of Fortune 500 companies.
Preface | p. xiii |
About the Authors | p. xv |
Time Value of Money | p. 1 |
Future Value of a Single Cash Flow | p. 1 |
Present Value of a Single Cash Flow | p. 4 |
Compounding/Discounting When Interest Is Paid More Than Annually | p. 8 |
Future and Present Values of an Ordinary Annuity | p. 10 |
Yield (Internal Rate of Return) | p. 20 |
Concepts Presented in this Chapter | p. 26 |
Appendix: Compounding and Discounting in Continuous Time | p. 27 |
Questions | p. 31 |
Yield Curve Analysis: Spot Rates and Forward Rates | p. 33 |
A Bond Is a Package of Zero-Coupon Instruments | p. 33 |
Theoretical Spot Rates | p. 34 |
Forward Rates | p. 44 |
Dynamics of the Yield Curve | p. 57 |
Concepts Presented in this Chapter | p. 60 |
Questions | p. 60 |
Day Count Conventions and Accrued Interest | p. 63 |
Day Count Conventions | p. 63 |
Computing the Accrued Interest | p. 74 |
Concepts Presented in this Chapter | p. 76 |
Questions | p. 76 |
Valuation of Option-Free Bonds | p. 77 |
General Principles of Valuation | p. 77 |
Determining a Bond's Value | p. 80 |
The Price/Discount Rate Relationship | p. 84 |
Time Path of Bond | p. 86 |
Valuing a Zero-Coupon Bond | p. 90 |
Valuing a Bond Between Coupon Payments | p. 90 |
Traditional Approach to Valuation | p. 94 |
The Arbitrage-Free Valuation Approach | p. 96 |
Concepts Presented in this Chapter | p. 107 |
Questions | p. 108 |
Yield Measures | p. 109 |
Sources of Return | p. 109 |
Traditional Yield Measures | p. 113 |
Yield to Call | p. 121 |
Yield to Put | p. 123 |
Yield to Worst | p. 123 |
Cash Flow Yield | p. 124 |
Portfolio Yield Measures | p. 125 |
Yield Measures for U.S. Treasury Bills | p. 128 |
Yield Spread Measures Relative to a Spot Rate Curve | p. 134 |
Concepts Presented in this Chapter | p. 137 |
Appendix: Mathematics of the Internal Rate of Return | p. 138 |
Questions | p. 139 |
Analysis of Floating Rate Securities | p. 141 |
General Features of Floaters | p. 141 |
Valuing a Risky Floater | p. 150 |
Valuation of Floaters with Embedded Options | p. 157 |
Margin Measures | p. 157 |
Concepts Presented in this Chapter | p. 166 |
Questions | p. 167 |
Valuation of Bonds with Embedded Options | p. 169 |
Overview of the Valuation of Bonds with Embedded Options | p. 169 |
Option-Adjusted Spread and Option Cost | p. 170 |
Lattice Model | p. 172 |
Binomial Model | p. 175 |
Illustration | p. 196 |
Concepts Presented in this Chapter | p. 198 |
Questions | p. 198 |
Cash Flow for Mortgage-Backed Securities and Amortizing Asset-Backed Securities | p. 199 |
Cash Flow of Mortgage-Backed Securities | p. 199 |
Amortizing Asset-Backed Securities | p. 238 |
Concepts Presented in this Chapter | p. 242 |
Questions | p. 244 |
Valuation of Mortgage-Backed and Asset-Backed Securities | p. 247 |
Static Cash Flow Yield Analysis | p. 247 |
Monte Carlo Simulation/OAS | p. 249 |
Concepts Presented in this Chapter | p. 270 |
Questions | p. 270 |
Analysis of Convertible Bonds | p. 273 |
General Characteristics of Convertible Bonds | p. 273 |
Tools for Analyzing Convertibles | p. 276 |
Call and Put Features | p. 278 |
Convertible Bond Arbitrage | p. 279 |
Other Types of Convertibles | p. 283 |
Concepts Presented in this Chapter | p. 285 |
Questions | p. 285 |
Total Return | p. 287 |
Computing the Total Return | p. 287 |
OAS-Total Return | p. 290 |
Total Return to Maturity | p. 291 |
Total Return for a Mortgage-Backed Security | p. 299 |
Portfolio Total Return | p. 301 |
Total Return Analysis for Multiple Scenarios | p. 301 |
Concepts Presented in this Chapter | p. 314 |
Questions | p. 314 |
Measuring Interest Rate Risk | p. 317 |
The Full Valuation Approach | p. 317 |
Price Volatility Characteristics of Bonds | p. 324 |
Duration | p. 334 |
Other Duration Measures | p. 350 |
Convexity | p. 360 |
Price Value of a Basis Point | p. 365 |
The Importance of Yield Volatility | p. 367 |
Concepts Presented in this Chapter | p. 369 |
Questions | p. 370 |
Value-at-Risk Measure and Extensions | p. 373 |
Value-at-Risk | p. 373 |
Conditional Value-at-Risk | p. 384 |
Concepts Presented in this Chapter | p. 385 |
Questions | p. 386 |
Analysis of Inflation-Protected Bonds | p. 387 |
Breakeven Inflation rate | p. 388 |
Valuation of TIPS | p. 389 |
Measuring Interest Rate Risk | p. 394 |
Concepts Presented in this Chapter | p. 397 |
Questions | p. 397 |
The Tools of Relative Value Analysis | p. 399 |
How Portfolio Managers Add Value | p. 399 |
Yield Spreads over Swap and Treasury Curves | p. 400 |
Asset Swaps | p. 403 |
Credit Default Swaps | p. 410 |
Concepts Presented in this Chapter | p. 413 |
Questions | p. 414 |
Analysis of Interest Rate Swaps | p. 417 |
Description of an Interest Rate Swap | p. 417 |
Interpreting a Swap Position | p. 419 |
Terminology, Conventions, and Market Quotes | p. 421 |
Valuing Interest Rate Swaps | p. 424 |
Primary Determinants of Swap Spreads | p. 440 |
Dollar Duration of a Swap | p. 445 |
Concepts Presented in this Chapter | p. 447 |
Questions | p. 447 |
Estimating Yield Volatility | p. 451 |
Historical Volatility | p. 451 |
Implied Volatility | p. 455 |
Forecasting Yield Volatility | p. 459 |
Concepts Presented in this Chapter | p. 463 |
Questions | p. 463 |
Index | p. 465 |
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