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Foreword | |
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Preface | |
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Introduction to Bonds | |
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The Bond Instrument | |
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The Time Value of Money | |
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Basic Features and Definitions | |
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Present Value and Discounting | |
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Discount Factors | |
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Bond Pricing and Yield: The Traditional Approach | |
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Bond Pricing | |
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Bond Yield | |
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Floating Rate Notes | |
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Accrued Interest | |
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Clean and Dirty Bond Prices | |
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Day-Count Conventions | |
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Bond Instruments and Interest Rate Risk | |
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Duration, Modified Duration, and Convexity | |
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Duration | |
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Properties of Macaulay Duration | |
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Modified Duration | |
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Convexity | |
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Bond Pricing and Spot and Forward Rates | |
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Zero-Coupon Bonds | |
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Coupon Bonds | |
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Bond Price in Continuous Time | |
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Fundamental Concepts | |
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Stochastic Rates | |
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Coupon Bonds | |
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Forward Rates | |
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Guaranteeing a Forward Rate | |
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The Spot and Forward Yield Curve | |
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Calculating Spot Rates | |
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Term Structure Hypotheses | |
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The Expectations Hypothesis | |
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Liquidiry Premium Hypothesis | |
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Segmented Markets Hypothesis | |
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Interest Rate Modeling | |
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Basic Concepts | |
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Shore-Rare Processes | |
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Ico's Lemma | |
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One-Factor Term-Structure Models | |
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Vasicek Model | |
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Hull-White Model | |
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Further One-Factor Term-Structure Models | |
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Cox-Ingersoll-Ross (CIR) Model | |
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Two-Factor Interest Rate Models | |
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Brennan-Schwartz Model | |
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Extended Cox-Ingersoll-Ross Model | |
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Heath-Jarrow-Morton (HJM) Model | |
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The Multifactor HJM Model | |
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Choosing a Term-Structure Model | |
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Fitting the Yield Curve | |
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Yield Curve Smoothing | |
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Smoothing Techniques | |
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Cubic Polynomials | |
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Non-Parametric Methods | |
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Spline-Based Methods | |
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Nelson and Siegel Curves | |
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Comparing Curves | |
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Fitting the Term Structure of Interest Rates: The Practical Implementation of Cubic Spline Methodology | |
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Cubic Spline Methodology | |
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The Hypothesis | |
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Practical Approach | |
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A Working Environment | |
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The First Requirement | |
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The Second Requirement | |
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The Third Requirement | |
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Meeting All Requirements Simultaneously | |
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A Unique Solution | |
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The Solution | |
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A Look at Forward Rates | |
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Conclusion | |
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Selected Cash and Derivative Instruments | |
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Forwards and Futures Valuation | |
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Forwards and Futures | |
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Cash Flow Differences | |
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Relationship between Forward and Futures Prices | |
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Forward-Spot Parity | |
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The Basis and Implied Repo Rate | |
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Swaps | |
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Interest Rare Swaps | |
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Market Terminology | |
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Swap Spreads and the Swap Yield Curve | |
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Generic Swap Valuation | |
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Intuitive Swap Pricing | |
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Zero-Coupon Swap Valuation | |
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Calculating the Forward Rate from Spot-Rate Discount Factors | |
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The Key Principles of an Interest Rate Swap | |
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Valuation Using the Final Maturity Discount Factor | |
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Non-Plain Vanilla Interest Rate Swaps | |
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Swaptions | |
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Valuation | |
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Interest Rate Swap Applications | |
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Corporate and Investor Applications | |
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Hedging Bond Instruments Using Interest Rate Swaps | |
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Options | |
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Option Basics | |
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Terminology | |
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Option Instruments | |
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Option Pricing: Setting the Scene | |
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Limits on Option Prices | |
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Option Pricing | |
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The Black-Scholes Option Model | |
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Assumptions | |
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Pricing Derivative Instruments Using the Black-Scholes Model | |
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Put-Call Parity | |
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Pricing Options on Bonds Using the Black-Scholes Model | |
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Interest Rate Options and the Black Model | |
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Comments on the Black-Scholes Model | |
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Stochastic Volatility | |
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Implied Volatility | |
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Other Option Models | |
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Measuring Option Risk | |
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Option Price Behavior | |
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Assessing Time Value | |
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American Options | |
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The Greeks | |
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Delta | |
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Gamma | |
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Theta | |
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Vega | |
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Rho | |
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Lamda | |
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The Option Smile | |
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Caps and Floors | |
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Credit Derivatives | |
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Credit Risk | |
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Credit Risk and Credit Derivatives | |
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Applications of Credit Derivatives | |
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Credit Derivative Instruments | |
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Credit Default Swap | |
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Credit Options | |
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Credit-Linked Notes | |
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Total Return Swaps | |
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Investment Applications | |
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Capital Structure Arbitrage | |
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Exposure to Market Sectors | |
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Credit Spreads | |
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Funding Positions | |
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Credit Derivatives and Relative Value Trading | |
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Relative Value Trading Straregies | |
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Bond Valuation from CDS Prices: Bloomberg Screen VCDS | |
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Credit-Derivative Pricing | |
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Pricing Total Return Swaps | |
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Asset-Swap Pricing | |
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Credit-Spread Pricing Models | |
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The Market Approach to CDS Pricing | |
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Default Probabilities | |
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Pricing a CDS Contract | |
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Example Calculation | |
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The ITraxx and CD-X Credit Indices Contracts | |
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Index Tranche Market | |
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Impact of the 2007-2008 Credit Crunch: New CDS Contracts | |
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The Analysis of Bonds with Embedded Options | |
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Understanding Option Elements Embedded in a Bond | |
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Basic Options Features | |
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Option Valuation | |
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The Call Provision | |
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The Binomial Tree of Short-Term Interest Rates | |
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Arbitrage-Free Pricing | |
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Options Pricing | |
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Risk-Neutral Pricing | |
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Recombining and Nonrecombining Trees | |
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Pricing Callable Bonds | |
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Price and Yield Sensitivity | |
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Measuring Bond Yield Spreads | |
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Option-Adjusted Spread Analysis | |
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Introduction | |
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A Theoretical Framework | |
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The Methodology in Practice | |
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Convertible Bonds | |
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Basic Features | |
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Trading Patterns of Convertible Bonds | |
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Investor Analysis | |
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Zero-Coupon Convertibles | |
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Convertible Bond Default Risk | |
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Advantages of Issuing and Holding Convertibles | |
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Convertible Bond Valuation | |
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Fair Value of a Convertible Bond: The Binomial Model | |
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Model Parameters | |
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Pricing Spreadsheet | |
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Inflation-Indexed Bonds | |
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Basic Concepts | |
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Choice of Index | |
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Indexation Lag | |
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Coupon Frequency | |
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Type of Indexation | |
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Index-Linked Bond Cash Flows and Yields | |
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TIPS Cash Flow Calculations | |
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TIPS Price and Yield Calculations | |
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Assessing Yields on Index-Linked Bonds | |
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Which to Hold: Indexed or Conventional Bonds? | |
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Analysis of Real Interest Rates | |
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Indexation Lags and Inflation Expectations | |
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An Inflation Term Structure | |
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Inflation-Indexed Derivatives | |
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Securitization and Asset-Backed Securities | |
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The Concept of Securitization | |
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Reasons for Undertaking Securitization | |
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Benefits of Securitization to Investors | |
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The Process of Securitization | |
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Securitization Process | |
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Credit Enhancement | |
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Securirizing Mortgages | |
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Growth of the Market | |
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Mortgage Bond Risk | |
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Types of Mortgage-Backed Securities | |
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Cash Flow Patterns | |
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Prepayment Analysis | |
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Prepayment Models | |
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ABS Structures: A Primer on Performance Metrics and Test Measures | |
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Collateral Types | |
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Summary of Performance Metrics | |
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Securitization: Features of the 2007-2009 Financial Crisis | |
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Impact of the Credit Crunch | |
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Collateralized Debt Obligations | |
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CDO Structures | |
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Conventional CDO Structures | |
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Synthetic CDO Structures | |
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Motivation Behind CDO Issuance | |
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Balance Sheet-Driven Transactions | |
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Investor-Driven Arbitrage Transactions | |
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Analysis and Evaluation | |
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Portfolio Characteristics | |
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Cash Flow Analysis and Stress Testing | |
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Originator's Credit Quality | |
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Operational Aspects | |
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Legal Structure of the Transaction | |
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Expected Loss | |
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CDO Market Overview Since 2005 | |
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Risk and Capital Management | |
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Selected Market Trading Considerations | |
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The Yield Curve, Bond Yield, and Spot Rates | |
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Practical Uses of Redemption Yield and Duration | |
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The Concept of Yield | |
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Yield Comparisons in the Market | |
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Measuring a Bond's True Return | |
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Illustrating Bond Yield Using a Microsoft Excel Spreadsheet | |
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Implied Spot Rates and Market Zero-Coupon Yields | |
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Spot Yields and Coupon-Bond Prices | |
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Implied Spot Yields and Zero-Coupon Bond Yields | |
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Determining Strip Values | |
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Strips Market Anomalies | |
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Strips Trading Strategy | |
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Case Study: Treasury Strip Yields and Cash Flow Analysis | |
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Approaches to Trading | |
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Futures Trading | |
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Yield Curves and Relative Value | |
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Determinants of Government Bond Yields | |
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Characterizing the Complete Term Structure | |
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Identifying Relative Value in Government Bonds | |
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Hedging Bond Positions | |
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Simple Hedging Approaches | |
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Hedge Analysis | |
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Summary of the Derivation of the Optimum-Hedge Equation | |
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Credit Analysis and Relative Value Measurement | |
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Credit Ratings | |
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Purpose of Credit Ratings | |
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Formal Credit Ratings | |
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Credit Analysis | |
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The Issuer Indusrry | |
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Financial Analysis | |
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Industry-Specific Analysis | |
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Utility Companies | |
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Financial Sector Companies | |
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The Art of Credit Analysis | |
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Bond Spreads and Relative Value | |
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Bond Spreads | |
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Summary of Fund Managers' Approach to Value Creation | |
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The Black-Scholes Model in Microsoft Excel | |
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Iterative Formula Spreadsheet | |
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Pricing Spreadsheet | |
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References | |
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About the Author | |
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Index | |