Answer:
$40,000,000 x 7% = $2,800,000
effective interest rate = 8%
cash received = $37,282,062
December 31, Year 1, first coupon payment:
($37,282,062 x 8%) - ($40,000,000 x 7%) = $2,982,565 - $2,800,000 = $182,565
June 30, Year 2, second coupon payment:
[($37,282,062 + $182,565) x 8%] - $2,800,000 = $2,997,170 - $2,800,000 = $197,170
The journal entries should be as follows:
July 1, Year 1, bonds are issued at a discount:
Dr Cash 37,282,062
Dr Discount on bonds payable 2,717,938
Cr Bonds payable 40,000,000
December 31, Year 1, first coupon payment:
Dr Interest expense 2,982,565
Cr Discount on bonds payable 182,565
Cr Cash 2,800,000
June 30, Year 2, second coupon payment:
Dr Interest expense 2,997,170
Cr Discount on bonds payable 197,170
Cr Cash 2,800,000