Course Syllabus for Fixed Income Markets and their Derivatives

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(or download updated chapters, below, as we cover them in class)

 

 

Introduction:

Overview of Bond Markets

Lecture

Notes

 

Chapter 1:

Bond Price Arithmetic

  • Review Basics of Time Value of Money
  • To understand market convention of quoting prices
  • To understand different compounding mechanisms and date conventions.

 

 

 

Lecture Notes

 

Chapter 2:

Treasury Bills, Bonds, Strips, Arbitrage Pricing

  • Treasury Bills
  • Treasury Notes and Bonds
  • STRIPS and arbitrage relationships
  • Treasury Unflation Protected Securities

 

 

Lecture Notes

 

Chapter 3:

Organization of Government Bond Markets

  • Overall organization of US Government Bond Market
  • Role of Treasury and Federal Reserve Bank
  • Fed Funds, The discount rate and Repo rates
  • Primary Dealers
  • Treasury Auctions

 

Lecture Note

 

Chapter 4:

Spot, Forward and Par Rates

  • The discount function
  • The yield to maturity curve, spot curve or zero curve
  • forward prices of zero coupon bonds
  • forward interest rates and spot rates
  • par rates and spot rates
  • forward prices of coupon bonds.

 

 

 

Lecture Note

 

Are There Arbitrage Free Opportunities in the Government Bond Market:

 

 

 

 

 

Chapter 5:

Repurchase Agreements and Forward Contracts.

 

  • Repurchase Agrements
  • Reverse REPOS
  • Special Repo Rates
  • Pricing Forward Contracts on Treasury Bonds
  • Implied Repo Rates.

 

 

Lecture Note

 

Chapter 6:

Eurodollars, Forward Rate Agreements and ED Futures.

  • Eurodollar deposits
  • forward loans
  • forward rate agreements
  • ED Futures
  • Hedging with FRAs and ED Futures
  • Constructing the LIBOR Zero curve.

 

 

 

 

Lecture Notes

 

Chapter 7:

Swaps and Floaters.

  • Interest Rate Swaps  and FRAs
  • Pricing Vanilla Interest Rate Swaps
  • Pricing Floating rate Notes
  • Credit Risk and Interest Rate swaps
  • Strategies with Interest Rate Swaps.

 

 

Lecture Note

 

Chapter 8

Yield Curve Construction

 

Chapter 9

Measures of Price Sensitivity

  • Maculay Duration
  • Modified Duration
  • DVO!
  • Convexity and Bond Price Changes
  • Immunization
  • Duration hedging
  • Twist Risk, Barbells and Ladders
  • More on Duration

 

 

Lecture Note

 

Chapter 10:

Key Rate Durations

 

  • Where in the yield curve is the bond portfolio exposed?
  • Measures of risk to non parallel shocks
  • risk measures along the yield curve
  • Breakdown of DV01
  • Key Rate Duration Profiles.
  • Hedging Decisions and Key rate Durations.

 

 

 

 

Lecture Note

 

Chapter 11

Interest Rate Contingent Claims

 

  • Interest Rate Caps, Floors and Swaptions
  • Difficulties in pricing Interest Rate Claims
  • Properties of Desirable Models
  • Hedging and Capping Interest Rate Risk

 

 

 

 

Lecture Note

 

Chapter 12:

Theories of the Term Structure

  • Forward rates in a world of certainty
  • Forward rates in a world of uncertainty
  • The expectations hypothesis and the preferred habitat
  • local expectations hypothesis and other theories.

 

 

 

 

Lecture Notes

 

Chapter 13:

Arbitrage Free Pricing

  • Redundancy and Replication
  • Local expectations hypothesis, risk neutral pricing, and no arbitrage.

 

Lecture Notes

 

Chapter 14:

Pricing Embedded Options

 

  • Externallly Consistent Pricing
  • The Black Derman Toy Model
  • Pricing Coupon Bonds,  Callables and Putables,
  • Pricing Exotic  Swaps
  • Forwards compared with Futures
  • Options on Forwards and Options on Futures
  • Structured Products
  • Option Adjusted Spreads
  • Duration, Convexity, and Key rate Duration
  • The wide variety of derivatives.

 

 

 

 

 

 

 

Lecture Notes

 

Chapter 15

Corporate Securities

  • Corporate Bonds and common embedded options
  • Risk Premium on corporate discount bonds
  • Merton's model
  • Pricing Junior debt
  • Credit Spreads
  • Convertibles
  • Other Corporate Issues.
 

Chapter 16

Credit Derivatives

        Credit Derivative Markets

        Credit Derivative Uses

        Credit Default Swaps

        Total Return Swaps

        Credit Linked Notes

        CDOs

       Pricing Models for Credit Derivatives

 

Lecture Notes

 

Chapter 17

Mortgage markets

         Mortgage math

         Mortgage Passthroughs

         Mortgage Backed Securities

         Prepayments

          Pricing Issues

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Lecture Notes