Question

In: Finance

Bond Prices A $1,000 par bond that pays interest semiannually has a quoted coupon rate of...

Bond Prices A $1,000 par bond that pays interest semiannually has a quoted coupon rate of 4%, a promised yield to maturity of 3.5% and exactly 12 years to maturity. The present value of the coupon stream represents ______ of the total bond's value.

A.)37.1%

B.)38.2%

C.)39.5%

D.)36.0%

Solutions

Expert Solution

Calculate the present value of the bond as follows:

Therefore, the present value of the bond is $1,048.65.

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Calculate the present value of coupon payments as follows:

Therefore, the present value of coupon payment is $389.21.

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Calculate the present value of coupon payments as follows:

% value = (Present value of coupon) / Present value of the bond

= $389.21 / $1,048.65

= 37.1%

Therefore, the % value is 37.1%.

Therefore, Option A is correct.


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