Bushmans Concrete issues $750,000 of 8% bonds that pay interest
semiannually and mature in 10 years. Compute the bonds’ issue price
assuming that the bonds’ market interest rate is:
a. 10% per year compounded annually
b. 7% per year compounded semiannually
c. Calculate the amount of premium/discount when the market
interest is 7% per year compounded semiannually
a). To find the bond's price, we need to put the following values in the financial calculator:
INPUT | 10*2=20 | 10/2=5 | (8%/2)*750,000=30,000 | 750,000 | |
TVM | n | i/y | pv | pmt | fv |
OUTPUT | -282,741.88 |
So, the Bond's Price is $282,741.88
b). To find the bond's price, we need to put the following values in the financial calculator:
INPUT | 10*2=20 | 7/2=3.5 | (8%/2)*750,000=30,000 | 750,000 | |
TVM | n | i/y | pv | pmt | fv |
OUTPUT | -803,296.51 |
So, the Bond's Price is $803,296.51
c). Premium = Bond's Issue Price - Face Value = $803,296.51 - $750,000 = $53,296.51
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