Answer:
The carrying value of the bonds after the first interest payment is made on June 30, 2017, is $571,776
Explanation:
The carrying value of the bond after the first interest payment will be calculated as follow
Carrying value of bond = Bond Issuance value - Amortization of Bond premium
Where
Bond Issuance value = $574,540
Amortization of bond premium = Coupon payment - ( Bond issuance value x Market rate ) = ( $500,000 x 8% x 6/12 ) - ( $574,540 x 6% x 6/12 ) = $20,000 - $17,236 = $2,764
Placing values in the formula
Carrying value of bond = $574,540 - $2,764
Carrying value of bond = $571,776