Answer:
a) the issue price of the bonds was $554,861:
PV of face value = $600,000 / (1 + 6%)⁴⁰ = $58,333
PV of coupon payments = $33,000 x 15.046 (PV annuity factor, 6%, 40 periods) = $496,518
market price = $554,851 which is close enough to verify the issue price (the $10 difference is probably due to a rounding error).
b) the journal entries are:
January 1, year 1
Dr Cash 554,861
Dr Discount on bonds payable 45,139
Cr Bonds payable 600,000
June 30, year 1
Dr Interest expense 33,292
Cr Cash 33,000
Cr Discount on bonds payable 292
amortization of discount of bonds payable = ($554,861 x 6%) - $33,000 = $291.66 ≈ $292
December 31, year 1
Dr Interest expense 33,309
Cr Cash 33,000
Cr Discount on bonds payable 309
amortization of discount of bonds payable = ($555,153 x 6%) - $33,000 = $309.18 ≈ $309
Assets = Liabilities + Equity
Cash Bonds payable Discount on BP
554,861 600,000 (45,139)
(33,000) 292 (33,292)
(33,000) 309 (33,309)
Revenues - Expenses = Net income
0 0 0
0 33,292 (33,292)
0 33,309 (33,309)
