Options, Futures, and Other Derivatives

Höfundur John C Hull

Útgefandi Pearson International Content

Snið Page Fidelity

Print ISBN 9780133456318

Útgáfa 1

Höfundarréttur 2016

17.490 kr.

Description

Efnisyfirlit

  • Contents
  • Business Snapshots
  • Technical Notes
  • Preface
  • Chapter 1: Introduction
  • 1.1 Exchange-traded markets
  • Electronic Markets
  • 1.2 Over-the-counter markets
  • Market Size
  • 1.3 Forward contracts
  • Payoffs from Forward Contracts
  • Forward Prices and Spot Prices
  • 1.4 Futures contracts
  • 1.5 Options
  • 1.6 Types of traders
  • 1.7 Hedgers
  • Hedging Using Forward Contracts
  • Hedging Using Options
  • A Comparison
  • 1.8 Speculators
  • Speculation Using Futures
  • Speculation Using Options
  • A Comparison
  • 1.9 Arbitrageurs
  • 1.10 Dangers
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 2: Mechanics of futures markets
  • 2.1 Background
  • Closing Out Positions
  • 2.2 Specification of a futures contract
  • The Asset
  • The Contract Size
  • Delivery Arrangements
  • Delivery Months
  • Price Quotes
  • Price Limits and Position Limits
  • 2.3 Convergence of futures price to spot price
  • 2.4 The operation of margin accounts
  • Daily Settlement
  • Further Details
  • The Clearing House and Its Members
  • Credit Risk
  • 2.5 OTC markets
  • Central Counterparties
  • Bilateral Clearing
  • Futures Trades vs. OTC Trades
  • 2.6 Market quotes
  • Prices
  • Settlement Price
  • Trading Volume and Open Interest
  • Patterns of Futures
  • 2.7 Delivery
  • Cash Settlement
  • 2.8 Types of traders and types of orders
  • Orders
  • 2.9 Regulation
  • Trading Irregularities
  • 2.10 Accounting and tax
  • Accounting
  • Tax
  • 2.11 Forward vs. futures contracts
  • Profits from Forward and Futures Contracts
  • Foreign Exchange Quotes
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 3: Hedging strategies using futures
  • 3.1 Basic principles
  • Short Hedges
  • Long Hedges
  • 3.2 Arguments for and against hedging
  • Hedging and Shareholders
  • Hedging and Competitors
  • Hedging Can Lead to a Worse Outcome
  • 3.3 Basis risk
  • The Basis
  • Choice of Contract
  • 3.4 Cross hedging
  • Calculating the Minimum Variance Hedge Ratio
  • Optimal Number of Contracts
  • Tailing the Hedge
  • 3.5 Stock index futures
  • Stock Indices
  • Hedging an Equity Portfolio
  • Reasons for Hedging an Equity Portfolio
  • Changing the Beta of a Portfolio
  • Locking in the Benefits of Stock Picking
  • 3.6 Stack and roll
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Appendix: Capital asset pricing model
  • Chapter 4: Interest rates
  • 4.1 Types of rates
  • Treasury Rates
  • LIBOR
  • The Fed Funds Rate
  • Repo Rates
  • The “Risk-Free” Rate
  • 4.2 Measuring interest rates
  • Continuous Compounding
  • 4.3 Zero rates
  • 4.4 Bond pricing
  • Bond Yield
  • Par Yield
  • 4.5 Determining Treasury zero rates
  • 4.6 Forward rates
  • 4.7 Forward rate agreements
  • Valuation
  • 4.8 Duration
  • Modified Duration
  • Bond Portfolios
  • 4.9 Convexity
  • 4.10 Theories of the term structure of interest rates
  • The Management of Net Interest Income
  • Liquidity
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 5: Determination of forward and futures prices
  • 5.1 Investment assets vs. consumption assets
  • 5.2 Short selling
  • 5.3 Assumptions and notation
  • 5.4 Forward price for an investment asset
  • A Generalization
  • What If Short Sales are not possible?
  • 5.5 Known Income
  • A Generalization
  • 5.6 Known yield
  • 5.7 Valuing forward contracts
  • 5.8 Are forward prices and futures prices equal?
  • 5.9 Futures prices of stock indices
  • Index Arbitrage
  • 5.10 Forward and futures contracts on currencies
  • 5.11 Futures on commodities
  • Income and Storage Costs
  • Consumption Commodities
  • Convenience Yields
  • 5.12 The cost of carry
  • 5.13 Delivery options
  • 5.14 Futures prices and expected future spot prices
  • Keynes and Hicks
  • Risk and Return
  • The Risk in a Futures Position
  • Normal Backwardation and Contango
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 6: Interest rate futures
  • 6.1 Day count and quotation conventions
  • Day Counts
  • Price Quotations of US Treasury Bills
  • Price Quotations of US Treasury Bonds
  • 6.2 Treasury bond futures
  • Quotes
  • Conversion Factors
  • Cheapest-to-Deliver Bond
  • Determining the Futures Price
  • 6.3 Eurodollar futures
  • Forward vs. Futures Interest Rates
  • Convexity Adjustment
  • Using Eurodollar Futures to Extend the LIBOR Zero Curve
  • 6.4 Duration-based hedging strategies using futures
  • 6.5 Hedging portfolios of assets and liabilities
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 7: Swaps
  • 7.1 Mechanics of interest rate swaps
  • LIBOR
  • Illustration
  • Using the Swap to Transform a Liability
  • Using the Swap to Transform an Asset
  • Role of Financial Intermediary
  • Market Makers
  • 7.2 Day count issues
  • 7.3 Confirmations
  • 7.4 The comparative-advantage argument
  • Criticism of the Argument
  • 7.5 The nature of swap rates
  • 7.6 Determining the LIBOR/swap zero rates
  • 7.7 Valuation of interest rate swaps
  • Valuation in Terms of Bond Prices
  • Valuation in Terms of FRAs
  • 7.8 Term structure effects
  • 7.9 Fixed-for-fixed currency swaps
  • Illustration
  • Use of a Currency Swap to Transform Liabilities and Assets
  • Comparative Advantage
  • 7.10 Valuation of fixed-for-fixed currency swaps
  • Valuation in Terms of Bond Prices
  • Valuation as Portfolio of Forward Contracts
  • 7.11 Other currency swaps
  • 7.12 Credit risk
  • Central Clearing
  • Credit Default Swaps
  • 7.13 Other types of swaps
  • Variations on the Standard Interest Rate Swap
  • Diff Swaps
  • Equity Swaps
  • Options
  • Commodity Swaps, Volatility Swaps, and Other Exotic Instruments
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 8: Securitization and the credit crisis of 2007
  • 8.1 Securitization
  • ABSs
  • ABS CDOs
  • 8.2 The US housing market
  • The Relaxation of Lending Standards
  • Subprime Mortgage Securitization
  • The Bubble Bursts
  • The Losses
  • The Credit Crisis
  • 8.3 What went wrong?
  • Regulatory Arbitrage
  • Incentives
  • 8.4 The aftermath
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 9: OIS discounting, credit issues, and funding costs
  • 9.1 The risk-free rate
  • 9.2 The OIS rate
  • Determining the OIS Zero Curve
  • 9.3 Valuing swaps and FRAs with OIS discounting
  • Determining Forward LIBOR Rates with OIS Discounting
  • 9.4 OIS vs. LIBOR: Which is correct?
  • 9.5 Credit risk: CVA and DVA
  • Collateral
  • 9.6 Funding costs
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 10: Mechanics of options markets
  • 10.1 Types of options
  • Call Options
  • Put Options
  • Early Exercise
  • 10.2 Option positions
  • 10.3 Underlying assets
  • Stock Options
  • Foreign Currency Options
  • Index Options
  • Futures Options
  • 10.4 Specification of stock options
  • Expiration Dates
  • Strike Prices
  • Terminology
  • FLEX Options
  • Other Nonstandard Products
  • Dividends and Stock Splits
  • Position Limits and Exercise Limits
  • 10.5 Trading
  • Market Makers
  • Offsetting Orders
  • 10.6 Commissions
  • 10.7 Margin requirements
  • Writing Naked Options
  • Other Rules
  • 10.8 The options clearing corporation
  • Exercising an Option
  • 10.9 Regulation
  • 10.10 Taxation
  • Wash Sale Rule
  • Constructive Sales
  • 10.11 Warrants, employee stock options, and convertibles
  • 10.12 Over-the-counter options markets
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 11: Properties of stock options
  • 11.1 Factors affecting option prices
  • Stock Price and Strike Price
  • Time to Expiration
  • Volatility
  • Risk-Free Interest Rate
  • Amount of Future Dividends
  • 11.2 Assumptions and notation
  • 11.3 Upper and lower bounds for option prices
  • Upper Bounds
  • Lower Bound for Calls on Non-Dividend-Paying Stocks
  • Lower Bound for European Puts on Non-Dividend-Paying Stocks
  • 11.4 Put–call parity
  • 11.5 Calls on a non-dividend-paying stock
  • Bounds
  • 11.6 Puts on a non-dividend-paying stock
  • Bounds
  • 11.7 Effect of dividends
  • Lower Bound for Calls and Puts
  • Early Exercise
  • Put–Call Parity
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 12: Trading strategies involving options
  • 12.1 Principal-protected notes
  • 12.2 Trading an option and the underlying asset
  • 12.3 Spreads
  • Bull Spreads
  • Bear Spreads
  • Box Spreads
  • Butterfly Spreads
  • Calendar Spreads
  • Diagonal Spreads
  • 12.4 Combinations
  • Straddle
  • Strips and Straps
  • Strangles
  • 12.5 Other payoffs
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 13: Binomial trees
  • 13.1 A one-step binomial model and a no-arbitrage argument
  • A Generalization
  • Irrelevance of the Stock’s Expected Return
  • 13.2 Risk-neutral valuation
  • The One-Step Binomial Example Revisited
  • Real World vs. Risk-Neutral World
  • 13.3 Two-step binomial trees
  • A Generalization
  • 13.4 A put example
  • 13.5 American options
  • 13.6 Delta
  • 13.7 Matching volatility with u and d
  • Girsanov’s Theorem
  • 13.8 The binomial tree formulas
  • 13.9 Increasing the number of steps
  • 13.10 Using DerivaGem
  • 13.11 Options on other assets
  • Options on Stocks Paying a Continuous Dividend Yield
  • Options on Stock Indices
  • Options on Currencies
  • Options on Futures
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Appendix: Derivation of the Black–Scholes–Merton option-pricing formula from a binomial tree
  • Chapter 14: Wiener processes and Itô’s lemma
  • 14.1 The Markov property
  • 14.2 Continuous-time stochastic processes
  • Wiener Process
  • Generalized Wiener Process
  • Itô Process
  • 14.3 The process for a stock price
  • Discrete-Time Model
  • Monte Carlo Simulation
  • 14.4 The parameters
  • 14.5 Correlated processes
  • 14.6 Itô’s Lemma
  • Application to Forward Contracts
  • 14.7 The lognormal property
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Appendix: Derivation of Itô’s lemma
  • Chapter 15: The Black–Scholes–Merton model
  • 15.1 Lognormal property of stock prices
  • 15.2 The distribution of the rate of return
  • 15.3 The expected return
  • 15.4 Volatility
  • Estimating Volatility from Historical Data
  • Trading Days vs. Calendar Days
  • 15.5 The idea underlying the Black–Scholes–Merton differential equation
  • 15.6 Derivation of the Black–Scholes–Merton differential equation
  • A Perpetual Derivative
  • The Prices of Tradeable Derivatives
  • 15.7 Risk-neutral valuation
  • Application to Forward Contracts on a Stock
  • 15.8 Black–Scholes–Merton pricing formulas
  • Understanding N(d1) and N(d2)
  • Properties of the Black–Scholes–Merton Formulas
  • 15.9 Cumulative normal distribution function
  • 15.10 Warrants and employee stock options
  • 15.11 Implied volatilities
  • The VIX Index
  • 15.12 Dividends
  • European Options
  • American Call Options
  • Black’s Approximation
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Appendix: Proof of Black–Scholes–Merton formula using risk-neutral valuation
  • Chapter 16: Employee stock options
  • 16.1 Contractual arrangements
  • The Early Exercise Decision
  • 16.2 Do options align the interests of shareholders and managers?
  • 16.3 Accounting issues
  • Alternatives to Stock Options
  • 16.4 Valuation
  • The “Quick and Dirty” Approach
  • Binomial Tree Approach
  • The Exercise Multiple Approach
  • A Market-Based Approach
  • Dilution
  • 16.5 Backdating scandals
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 17: Options on stock indices and currencies
  • 17.1 Options on stock indices
  • Portfolio Insurance
  • When the Portfolio’s Beta is Not 1.0
  • 17.2 Currency options
  • Range Forwards
  • 17.3 Options on stocks paying known dividend yields
  • Lower Bounds for Option Prices
  • Put–Call Parity
  • Pricing Formulas
  • Differential Equation and Risk-Neutral Valuation
  • 17.4 Valuation of European stock index options
  • Forward Prices
  • Implied Dividend Yields
  • 17.5 Valuation of European currency options
  • Using Forward Exchange Rates
  • 17.6 American options
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 18: Futures options
  • 18.1 Nature of futures options
  • Expiration Months
  • Options on Interest Rate Futures
  • 18.2 Reasons for the popularity of futures options
  • 18.3 European spot and futures options
  • 18.4 Put–call parity
  • 18.5 Bounds for futures options
  • 18.6 Valuation of futures options using binomial trees
  • A Generalization
  • Multistep Trees
  • 18.7 Drift of a futures prices in a risk-neutral world
  • 18.8 Black’s model for valuing futures options
  • Using Black’s Model Instead of Black–Scholes–Merton
  • 18.9 American futures options vs. American spot options
  • 18.10 Futures-style options
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 19: The Greek letters
  • 19.1 Illustration
  • 19.2 Naked and covered positions
  • 19.3 A stop-loss strategy
  • 19.4 Delta hedging
  • Delta of European Stock Options
  • Dynamic Aspects of Delta Hedging
  • Where the Cost Comes From
  • Delta of a Portfolio
  • Transaction Costs
  • 19.5 Theta
  • 19.6 Gamma
  • Making a Portfolio Gamma Neutral
  • Calculation of Gamma
  • 19.7 Relationship between delta, theta, and gamma
  • 19.8 Vega
  • 19.9 Rho
  • 19.10 The realities of hedging
  • 19.11 Scenario analysis
  • 19.12 Extension of formulas
  • Delta of Forward Contracts
  • Delta of a Futures Contract
  • 19.13 Portfolio insurance
  • Use of Index Futures
  • 19.14 Stock market volatility
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Appendix: Taylor series expansions and hedge parameters
  • Chapter 20: Volatility smiles
  • 20.1 Why the volatility smile is the same for calls and puts
  • 20.2 Foreign currency options
  • Empirical Results
  • Reasons for the Smile in Foreign Currency Options
  • 20.3 Equity options
  • The Reason for the Smile in Equity Options
  • 20.4 Alternative ways of characterizing the volatility smile
  • 20.5 The volatility term structure and volatility surfaces
  • 20.6 Greek letters
  • 20.7 The role of the model
  • 20.8 When a single large jump is anticipated
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Appendix: Determining implied risk-neutral distributions from volatility smiles
  • Chapter 21: Basic numerical procedures
  • 21.1 Binomial trees
  • Risk-Neutral Valuation
  • Determination of p, u, and d
  • Tree of Asset Prices
  • Working Backward through the Tree
  • Expressing the Approach Algebraically
  • Estimating Delta and Other Greek Letters
  • 21.2 Using the binomial tree for options on indices, currencies, and futures contracts
  • 21.3 Binomial model for a dividend-paying stock
  • Known Dividend Yield
  • Known Dollar Dividend
  • Control Variate Technique
  • 21.4 Alternative procedures for constructing trees
  • Trinomial Trees
  • 21.5 Time-dependent parameters
  • 21.6 Monte Carlo simulation
  • Derivatives Dependent on More than One Market Variable
  • Generating the Random Samples from Normal Distributions
  • Number of Trials
  • Sampling through a Tree
  • Calculating the Greek Letters
  • Applications
  • 21.7 Variance reduction procedures
  • Antithetic Variable Technique
  • Control Variate Technique
  • Importance Sampling
  • Stratified Sampling
  • Moment Matching
  • Using Quasi-Random Sequences
  • 21.8 Finite difference methods
  • Implicit Finite Difference Method
  • Explicit Finite Difference Method
  • Change of Variable
  • Relation to Trinomial Tree Approaches
  • Other Finite Difference Methods
  • Applications of Finite Difference Methods
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 22: Value at Risk
  • 22.1 The VaR measure
  • The Time Horizon
  • 22.2 Historical simulation
  • Illustration: Investment in Four Stock Indices
  • 22.3 Model-building approach
  • Daily Volatilities
  • Single-Asset Case
  • Two-Asset Case
  • The Benefits of Diversification
  • 22.4 The linear model
  • Correlation and Covariance Matrices
  • Handling Interest Rates
  • Applications of the Linear Model
  • The Linear Model and Options
  • 22.5 The quadratic model
  • 22.6 Monte Carlo simulation
  • 22.7 Comparison of approaches
  • 22.8 Stress testing and back testing
  • 22.9 Principal components analysis
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 23: Estimating volatilities and correlations
  • 23.1 Estimating volatility
  • Weighting Schemes
  • 23.2 The exponentially weighted moving average model
  • 23.3 The GARCH (1,1) model
  • The Weights
  • Mean Reversion
  • 23.4 Choosing between the models
  • 23.5 Maximum likelihood methods
  • Estimating a Constant Variance
  • Estimating EWMA or GARCH (1,1) Parameters
  • How Good is the Model?
  • 23.6 Using GARCH (1,1) to forecast future volatility
  • Volatility Term Structures
  • Impact of Volatility Changes
  • 23.7 Correlations
  • Consistency Condition for Covariances
  • 23.8 Application of EWMA to four-index example
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 24: Credit risk
  • 24.1 Credit ratings
  • 24.2 Historical default probabilities
  • Hazard Rates
  • 24.3 Recovery rates
  • The Dependence of Recovery Rates on Default Rates
  • 24.4 Estimating default probabilities from bond yield spreads
  • Matching Bond Prices
  • The Risk-Free Rate
  • Asset Swap Spreads
  • 24.5 Comparison of default probability estimates
  • Real-World vs. Risk-Neutral Probabilities
  • Which Default Probability Estimate Should Be Used?
  • 24.6 Using equity prices to estimate default probabilities
  • 24.7 Credit risk in derivatives transactions
  • CVA and DVA
  • Credit Risk Mitigation
  • Special Cases
  • 24.8 Default correlation
  • The Gaussian Copula Model for Time to Default
  • A Factor-Based Correlation Structure
  • 24.9 Credit VaR
  • CreditMetrics
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 25: Credit derivatives
  • 25.1 Credit default swaps
  • Credit Default Swaps and Bond Yields
  • The Cheapest-to-Deliver Bond
  • 25.2 Valuation of credit default swaps
  • Marking to Market a CDS
  • Estimating Default Probabilities
  • Binary Credit Default Swaps
  • How Important is the Recovery Rate?
  • 25.3 Credit indices
  • 25.4 The use of fixed coupons
  • 25.5 CDS forwards and options
  • 25.6 Basket credit default swaps
  • 25.7 Total return swaps
  • 25.8 Collateralized debt obligations
  • Synthetic CDOs
  • Standard Portfolios and Single-Tranche Trading
  • 25.9 Role of correlation in a basket CDS and CDO
  • 25.10 Valuation of a synthetic CDO
  • Using the Gaussian Copula Model of Time to Default
  • Valuation of kth-to-Default CDS
  • Implied Correlation
  • Valuing Nonstandard Tranches
  • 25.11 Alternatives to the standard market model
  • Heterogeneous Model
  • Other Copulas
  • Random Factor Loadings
  • The Implied Copula Model
  • Dynamic Models
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 26: Exotic options
  • 26.1 Packages
  • 26.2 Perpetual American call and put options
  • 26.3 Nonstandard American options
  • 26.4 Gap options
  • 26.5 Forward start options
  • 26.6 Cliquet options
  • 26.7 Compound options
  • 26.8 Chooser options
  • 26.9 Barrier options
  • 26.10 Binary options
  • 26.11 Lookback options
  • 26.12 Shout options
  • 26.13 Asian options
  • 26.14 Options to exchange one asset for another
  • 26.15 Options involving several assets
  • 26.16 Volatility and variance swaps
  • Valuation of Variance Swap
  • Valuation of a Volatility Swap
  • The VIX Index
  • 26.17 Static options replication
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 27: More on models and numerical procedures
  • 27.1 Alternatives to Black–Scholes–Merton
  • The Constant Elasticity of Variance Model
  • Merton’s Mixed Jump–Diffusion Model
  • The Variance-Gamma Model
  • 27.2 Stochastic volatility models
  • 27.3 The IVF model
  • 27.4 Convertible bonds
  • 27.5 Path-dependent derivatives
  • Illustration Using Lookback Options
  • Generalization
  • 27.6 Barrier options
  • The Adaptive Mesh Model
  • 27.7 Options on two correlated assets
  • Transforming Variables
  • Using a Nonrectangular Tree
  • Adjusting the Probabilities
  • 27.8 Monte Carlo simulation and American options
  • The Least-Squares Approach
  • The Exercise Boundary Parameterization Approach
  • Upper Bounds
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 28: Martingales and measures
  • 28.1 The market price of risk
  • Alternative Worlds
  • 28.2 Several state variables
  • 28.3 Martingales
  • The Equivalent Martingale Measure Result
  • 28.4 Alternative choices for the numeraire
  • Money Market Account as the Numeraire
  • Zero-Coupon Bond Price as the Numeraire
  • Interest Rates When Zero-Coupon Bond Price is the Numeraire
  • Annuity Factor as the Numeraire
  • 28.5 Extension to several factors
  • 28.6 Black’s model revisited
  • 28.7 Option to exchange one asset for another
  • 28.8 Change of numeraire
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 29: Interest rate derivatives: The standard market models
  • 29.1 Bond options
  • Embedded Bond Options
  • European Bond Options
  • Yield Volatilities
  • 29.2 Interest rate caps and floors
  • The Cap as a Portfolio of Interest Rate Options
  • A Cap as a Portfolio of Bond Options
  • Floors and Collars
  • Valuation of Caps and Floors
  • Spot Volatilities vs. Flat Volatilities
  • Theoretical Justification for the Model
  • Use of DerivaGem
  • The Impact of Day Count Conventions
  • 29.3 European swap options
  • Valuation of European Swaptions
  • Broker Quotes
  • Theoretical Justification for the Swaption Model
  • The Impact of Day Count Conventions
  • 29.4 OIS discounting
  • 29.5 Hedging interest rate derivatives
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 30: Convexity, timing, and quanto adjustments
  • 30.1 Convexity adjustments
  • Application 1: Interest Rates
  • Application 2: Swap Rates
  • 30.2 Timing adjustments
  • Application 1 Revisited
  • 30.3 Quantos
  • Using Traditional Risk-Neutral Measures
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Appendix: Proof of the convexity adjustment formula
  • Chapter 31: Interest rate derivatives: models of the short rate
  • 31.1 Background
  • 31.2 Equilibrium models
  • The Rendleman and Bartter Model
  • The Vasicek Model
  • The Cox, Ingersoll, and Ross Model
  • Properties of Vasicek and CIR
  • Applications of Equilibrium Models
  • 31.3 No-arbitrage models
  • The Ho–Lee Model
  • The Hull–White (One-Factor) Model
  • The Black–Derman–Toy Model
  • The Black–Karasinski Model
  • The Hull–White Two-Factor Model
  • 31.4 Options on bonds
  • 31.5 Volatility structures
  • 31.6 Interest rate trees
  • Illustration of Use of Trinomial Trees
  • Nonstandard Branching
  • 31.7 A general tree-building procedure
  • First Stage
  • Second Stage
  • Illustration of Second Stage
  • Formulas for α’s and Q’s
  • Extension to Other Models
  • Handling Low Interest Rate Environments
  • Using Analytic Results in Conjunction with Trees
  • Tree for American Bond Options
  • 31.8 Calibration
  • 31.9 Hedging using a one-factor model
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 32: HJM, LMM, and multiple zero curves
  • 32.1 The Heath, Jarrow, and Morton model
  • Processes for Zero-Coupon Bond Prices and Forward Rates
  • Extension to Several Factors
  • 32.2 The LIBOR market model
  • The Model
  • Forward Rate Volatilities
  • Implementation of the Model
  • Extension to Several Factors
  • Ratchet Caps, Sticky Caps, and Flexi Caps
  • Valuing European Swap Options
  • Calibrating the Model
  • Volatility Skews
  • Bermudan Swap Options
  • 32.3 Handling multiple zero curves
  • 32.4 Agency mortgage-backed securities
  • Collateralized Mortgage Obligations
  • Valuing Agency Mortgage-Backed Securities
  • Option-Adjusted Spread
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 33: Swaps Revisited
  • 33.1 Variations on the vanilla deal
  • 33.2 Compounding swaps
  • 33.3 Currency swaps
  • 33.4 More complex swaps
  • LIBOR-in-Arrears Swap
  • CMS and CMT Swaps
  • Differential Swaps
  • 33.5 Equity swaps
  • 33.6 Swaps with embedded options
  • Accrual Swaps
  • Cancelable Swap
  • Cancelable Compounding Swaps
  • 33.7 Other swaps
  • Bizarre Deals
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 34: Energy and commodity derivatives
  • 34.1 Agricultural commodities
  • 34.2 Metals
  • 34.3 Energy products
  • Crude Oil
  • Natural Gas
  • Electricity
  • 34.4 Modeling commodity prices
  • A Simple Process
  • Mean Reversion
  • Interpolation and Seasonality
  • Jumps
  • Other Models
  • 34.5 Weather derivatives
  • 34.6 Insurance derivatives
  • 34.7 Pricing weather and insurance derivatives
  • 34.8 How an energy producer can hedge risks
  • Summary
  • Further reading
  • Practice questions
  • Further question
  • Chapter 35: Real options
  • 35.1 Capital investment appraisal
  • 35.2 Extension of the risk-neutral valuation framework
  • 35.3 Estimating the market price of risk
  • 35.4 Application to the valuation of a business
  • 35.5 Evaluating options in an investment opportunity
  • Illustration
  • Evaluation with No Embedded Options
  • Use of a Tree
  • Option to Abandon
  • Option to Expand
  • Multiple Options
  • Several Stochastic Variables
  • Summary
  • Further reading
  • Practice questions
  • Further questions
  • Chapter 36: Derivatives mishaps and what we can learn from them
  • 36.1 Lessons for all users of derivatives
  • Define Risk Limits
  • Take the Risk Limits Seriously
  • Do Not Assume You Can Outguess the Market
  • Do Not Underestimate the Benefits of Diversification
  • Carry out Scenario Analyses and Stress Tests
  • 36.2 Lessons for financial institutions
  • Monitor Traders Carefully
  • Separate the Front, Middle, and Back Office
  • Do Not Blindly Trust Models
  • Be Conservative in Recognizing Inception Profits
  • Do Not Sell Clients Inappropriate Products
  • Beware of Easy Profits
  • Do Not Ignore Liquidity Risk
  • Beware When Everyone is Following the Same Trading Strategy
  • Do Not Make Excessive Use of Short-Term Funding for Long-Term Needs
  • Market Transparency is Important
  • Manage Incentives
  • Never Ignore Risk Management
  • 36.3 Lessons for nonfinancial corporations
  • Make Sure You Fully Understand the Trades You are Doing
  • Make Sure a Hedger Does Not Become a Speculator
  • Be Cautious about Making the Treasury Department a Profit Center
  • Summary
  • Further reading
  • Glossary of Terms
  • DerivaGem Software
  • Major exchanges trading futures and options
  • Tables for N(x) When x ≤ 0
  • Tables for N(x) When x ≥ 0
  • Author index
  • Subject index
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