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25 March, 19:26

Suppose you purchased a $1,000 face value, 15-year bond one year ago. The bond has a 7.125% (annual) coupon rate - but the bonds pay coupons semiannually. You paid $974.24 for the bond last year. However, yields have increased 1%. What is the price of the bond today?

a) $991.33

b) $955.78

c) $896.14

d) $912.85

e) $917.28

f) $1,000

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  1. 25 March, 19:52
    0
    From the question, we have the followed parameters;

    The Face value=1,000 United States of America Dollar ($); yield to maturity = fifteen (15) years; The bond = 7.125 percent (annual) coupon rate; payment for last year = $974.24.

    First thing to do is to calculate the market value after one percent extra = 1%+7.125% = 8.125%

    Next, we need to calculate the present value of 14 year coupon of 71.25 USD = 573.00 + 1,000/1 + 0.8125^14

    =>573.00+322.15

    = 895.15

    Therefore, the price of the bond today is $ 895.15.
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