Answer :
The Lopez Plastics Co. issued the callable bonds at the annual stated interest rate of 7%.
Data and Calculations:
Date Cash Interest Effective Interest Decrease Outstanding
in balance balance
1/1/2018 $207,020
6/30/2018 $7,000 $6,211 $789 206,230
12/31/2018 $7,000 6,187 813 205,417
6/30/2019 $7,000 6,163 837 204,580
12/31/2019 $7,000 6,137 863 203,717
6/30/2020 $7,000 6,112 888 202,829
12/31/2020 $7,000 6,085 915 201,913
6/30/2021 $7,000 6,057 943 200,971
12/31/2021 $7,000 6,027 971 200,000
Total cash interest per year = $14,000 ($7,000 + $7,000)
Annual stated interest rate = 7% ($14,000/$200,000 x 100)
This annual interest rate can also be worked out as 7% ($7,000/$200,000 x 100 x 2), while the effective interest rate is 6% ($6,027/$200,000 x 100).
Thus, Lopez Plastics Co. issued the callable bonds at the annual stated interest rate of 7%.
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