Question

Assume the​ zero-coupon yields on​ default-free securities are as summarized in the following​ table: Maturity 1...

Assume the​ zero-coupon yields on​ default-free securities are as summarized in the following​ table:

Maturity

1 year

2 years

3 years

4 years

5 years

​Zero-Coupon Yields

4.70

​%

5.30

​%

5.60

​%

5.90

​%

6.00

​What is the price of a​ three-year, default-free security with a face value of 1,000 and an annual coupon rate of 7 %

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Answer #1

Yearly coupon = 7% of 1000

= $70

Face value = $1000

Price of three year coupon bond = 1st year coupon/(1 + zero coupon yields in year 1) + 2nd year coupon/(1 + zero coupon yields in year 2)^2 + (3rd year coupon + face value)/(1 + zero coupon yields in year 1)^3

= 70/1.047 + 70/(1.053)^2 + 1070/(1.056)^3

= $1038.63

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