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Book 1
  • Quantitative Methods
  • Economics
Book 2
  • Financial Statement Analysis
  • Corporate Issuers
Book 3
  • Equity Valuation
Book 4
  • Fixed Income
    • The Term Structure and Interest Rate Dynamics
    • The Arbitrage Free Valuation Framework
      • 24.1Binomial Trees, Part 1
      • 24.2Binomial Trees, Part 2
      • 24.3Interest Rate Models
    • Valuation and Analysis of Bonds With Embedded Options
    • Credit Analysis Models
    • Credit Default Swaps
  • Derivatives
  • Alternative Investments
Book 5
  • Portfolio Management
  • Ethical and Professional Standards
Topic summaries
  • Economics Summary
  • Fixed Income Summary
  • Derivatives Summary
Fixed IncomeReading 24
Reading 24

The Arbitrage Free Valuation Framework

3 modules 17 min
0/3

Exam Focus

This topic review discusses valuation of fixed income securities using spot rates as well as using the backward induction methodology in a binomial interest rate tree framework. Understand how embedded options impact the suitability of the binomial model or the Monte Carlo simulation method.

Modules

  1. Module 24.1Binomial Trees, Part 1Explain what is meant by arbitrage free valuation of a fixed income instrument. · Calculate the arbitrage free value of an option free, fixed rate coupon bond. · Describe a binomial interest rate tree framework. · Describe the backward induction valuation methodology and calculate the value of a fixed income instrument given its cash flow at each node.6 min · 4 LOS
  2. Module 24.2Binomial Trees, Part 2Describe the process of calibrating a binomial interest rate tree to match a specific term structure. · Compare pricing using the zero coupon yield curve with pricing using an arbitrage free binomial lattice. · Describe pathwise valuation in a binomial interest rate framework and calculate the value of a fixed income instrument given its cash flows along each path. · Describe a Monte Carlo forward rate simulation and its application.8 min · 4 LOS
  3. Module 24.3Interest Rate ModelsDescribe term structure models and how they are used.3 min · 1 LOS
Practice quiz11 questions on this reading