Question
This is an semiannually bond which is mean one half the yield and pmt, also double the period Bond B Bond A Coupon 8% 9%
Bond B | Bond A | |
Coupon | 8% | 9% |
Yield to maturity | 8% | 8% |
Maturity (years) | 2 | 5 |
Par | $100.00 | $100.00 |
Price | $100.00 | $104.055 |
(a) Compute the Macaulay durations for the two bonds.
(b) Compute the modified duration for the two bonds.
2. 4. Answer the questions below for bonds A and B.
Bond A | Bond B | |
Coupon | 8% | 9% |
Yield to maturity | 8% | 8% |
Maturity (years) | 2 | 5 |
Par | $100.00 | $100.00 |
Price | $100.00 | $104.055 |
(a) Calculate the actual price of the bonds for a 100-basis-point increase in interest rates.
(b) Without working through calculations, indicate whether the duration of the two bonds would be higher or lower if the yield to maturity is 10% rather than 8%.
3. Consider the following portfolio:
Bond | Market Value | Duration (years) |
W | $13 million | 2 |
X | $27 million | 7 |
Y | $60 million | 8 |
Z | $40 million | 14 |
(a) What is the portfolio's duration? Interpret this number, i.e., what does this number mean?
(b) What is the contribution to portfolio duration for each bond?
Step by Step Solution
There are 3 Steps involved in it
Step: 1
a To compute the Macaulay duration for a bond you need to calculate the weighted average of the present values of the bonds cash flows where the weights are the proportions of the present values in re...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