- CFA Exams
- CFA Level I Exam
- Study Session 12. Fixed Income (1)
- Reading 33. The Arbitrage-Free Valuation Framework
- Subject 3. Determining the Value of a Bond at a Node
CFA Practice Question
What is the value of a 2-year, 6% coupon, option-free bond given the following interest rate tree?

A. 99.755
B. 101.302
C. 102.560
Explanation: Value of the bond at upper node for period 1 = [(100 + 6) / (1.062605) + (100 + 6) / (1.062605)] / 2 = 99.755.
Value of the bond at lower node for period 1 = [(100 + 6) / (1.046379) + (100 + 6) / (1.046379)] /2 = 101.302.
Current value of the bond at node 0 (today) = [(99.755 + 6) / (1.038796) + (101.302 + 6) / (1.038796)] /2 = 102.560.
User Contributed Comments 2
User | Comment |
---|---|
Guavifo | If you don't round, you get 102.55 |
Nando1 | Remember to add the coupon payments to the value of the bond each time when you go backwards. When you're in a rush it's pretty easy to forget and there's a good chance one of the possible answers will incorporate this mistake. |