Question
3. Consider the following 3 risk-free bonds, all with face amounts of $1,000: (i) a 1-year zero-coupon bond, (ii) a 2- year bond with a
3. Consider the following 3 risk-free bonds, all with face amounts of $1,000: (i) a 1-year zero-coupon bond, (ii) a 2- year bond with a coupon rate of 6% (annual coupons), and (iii)a 2-year zero-coupon bond, all with yields of 6%. a. What are the Macaulay durations of these 3 bonds? What are the modified durations? b. If the yields on all 3 bonds rise immediately to 7%, what does the duration predict will be the percentage change in the bond price? What is the actual percentage change in the bond price? c. At the original yield of 6%, what positions in the 2 zero-coupon bonds would you take to immunize a long position of $1,000 in the 2-year bond? What is the change in the value of this immunized portfolio if the yields on all the bonds rise immediately to 7%?
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started