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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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