Question
you are evaluating the following three bonds: Bond Face Value ($) Coupon rate Maturity (years) A 1000 8% 5 B 1000 6% 10 C 1000
you are evaluating the following three bonds:
Bond | Face Value ($) | Coupon rate | Maturity (years) |
A | 1000 | 8% | 5 |
B | 1000 | 6% | 10 |
C | 1000 | 0% | 10 |
Suppose the yield curve is flat at 7% for all maturities. Use annual compounding in this problem.
a) Without doing any math would Bond A and B be trading at a discount/premium? Justify your answer
b) Calculate the price for all three bonds. Is your answer from a) in line with your findings in b) for bond A and B?
c) Without doing any math, which bonds would have the higher duration? A or B?
d) Calculate the Macaulay duration for Bond A and B. Is this in line with your expectation form c)?
e) There is no need to calculate duration for Bond C. Why/ What is its duration?
f) Say you need to create an immunising portfolio with a duration of 9 years. Show two ways how you could create an immunising portfolio using any combination of bonds A, B, and C.
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