Answer:
June 30, 2019, first coupon payment on bonds issued January 1, 2019:
Dr Interest expense 8,338
Cr Cash 7,500
Cr Discount on bonds payable 838
Explanation:
bond's face value = $150,000
coupon rate = 10% / 2 = 5%
n = 5 years x 2 = 10 semiannual coupons
we must first determine the market price of the bonds:
coupon rate = 6%
n = 10
payments 1 - 9 = $7,500
payment 10 = $157,500
using an excel spreadsheet we can calculate the resent value of the annuity = $138,960
=NPV(6%,7500 ... 8 more times,157500) = $138,960
now to determine the amortization using the effective interest method:
($138,960 x 6%) - ($150,000 x 5%) = $8,337.60 - $7,500 = $837.60 ≈ $838
the journal entry should be:
June 30, 2019, first coupon payment on bonds issued January 1, 2019:
Dr Interest expense 8,338
Cr Cash 7,500
Cr Discount on bonds payable 838