Answer:
1.- issued at : $579,378
2.- the schedule is attached.
3 and 4.- journal entries
cash 579,378 debit
discount on bonds payable 20,622 debit
bonds payabe 600,000 credit
--to record issuance-------
interest expense 20278.23 debit
discount on bonds payable 2278.23 credit
cash 18000 credit
--to record June 30th payment---
5.-At December 31th 2018 will report as follow:
bonds payable 600,000
discount on bonds (15,986)
net 584,014
6.- it will report interest expense for:
20,278.23 June
20,357.97 December
total: 40.636,2
7.- maturity:
interest expense 20,898.55
discount on bonds payable 2,898.55
cash 618,000
Explanation:
For the value of the bonds at issuance, we will calcualtethe present value of the coupon payment and the maturity at market rate.
[tex]C \times \frac{1-(1+r)^{-time} }{rate} = PV\\[/tex]
C 18,000 ( 600,000 x 0.06/2)
time 8 (4 years x 2 payment per year
rate 0.035(market rate / 2)
[tex]18000 \times \frac{1-(1+0.035)^{-8} }{0.035} = PV\\[/tex]
PV $123,731.1997
[tex]\frac{Maturity}{(1 + rate)^{time} } = PV[/tex]
Maturity 600,000.00
time 8.00
rate 0.035
[tex]\frac{600000}{(1 + 0.035)^{8} } = PV[/tex]
PV 455,646.93
PV c $123,731.1997
PV m $455,646.9337
Total $579,378.1334
for the schedule we will multuply the carrying value by the market rate.
the ncompare with the proceed in cash to know the amortizaiton.
This amortization will increase the carrying value of the loan.
