Answer:
ATTACHED file with the bonds schedule
Explanation:
First, we solve for the proceed from the issuance:
PV of the coupon:
[tex]C \times \frac{1-(1+r)^{-time} }{rate} = PV\\[/tex]
C 25,000.000 (500,000 x 10%/2)
time 7 (3 and a half year x 2 payment per year)
rate 0.06 (12% annual / 2)
[tex]25000 \times \frac{1-(1+0.06)^{-7} }{0.06} = PV\\[/tex]
PV $139,559.5360
PV of maturity:
[tex]\frac{Maturity}{(1 + rate)^{time} } = PV[/tex]
Maturity 500,000.00
time 7.00
rate 0.06
[tex]\frac{500000}{(1 + 0.06)^{7} } = PV[/tex]
PV 332,528.56
PV c $139,559.5360
PV m $332,528.5568
Total $472,088.0928
Then we construct the bonds schedule as follows:
procceds 472,088
face value 500,000
discount on bonds payable -27,912
bond rate 0.05
market rate 0.06
ionterest expense: carrying value times market rate:
472,088 x 0.06 = 28,325.29
cash outlay 25,000
amortization 3,325.29
carrying value after first payment:
472,088 + 3,325.29 = 475,413.29
and the process repeat for all periods.
