Example #5, On January 1, 2019 a company issues 100 bonds, each for $1,000, for a premium, as the interest rate on the bond (stated/coupon rate) is 5% and the market rate is 4%. They then used this cash to purchase an automobile for $100,000 cash. The bond is to be paid in at the end of THREE years (December 31, 2021).
Calculate the cash received from issuing bond:
Present value of maturity payment $100,000 $
Present value of interest payment ($100,000*.05=$5,000) $
Present value of cash payments $
Date |
Account Name |
Debit |
Credit |
1/1/2019 |
|||
12/31/2019 |
|||
(Premium balance: 2,775.09-889.00=1,886.09)
Date |
Account Name |
Debit |
Credit |
12/31/2020 |
|||
(Premium balance: 1,886.09-924.56=961.53)
Date |
Account Name |
Debit |
Credit |
12/31/2021 |
|||
(Premium balance is now zero)
Present value of Maturity | 88,899.64 | =PV(4%,3,0,-100000,0) | |
Add: Present value of Interest | 13,875.46 | =PV(4%,3,-100000*5%,0,0) | |
Present value of cash Payments | $ 102,775.09 | ||
a.) | Date | Account Name | Debit $ | Credit $ |
1/1/2019 | Cash | 102,775.09 | ||
Bond Payable | 100,000.00 | |||
Premium on Bond Payable | 2,775.09 | |||
12/31/2019 | Interest Expense ( 102,775.09 x 4% ) | 4,111.00 | ||
Premium on Bond Payable | 889.00 | |||
Cash ( 100,000 x 5% ) | 5,000.00 | |||
b.) | Date | Account Name | Debit $ | Credit $ |
12/31/2020 | Interest Expense ( 102,775.09 - 889 ) x 4% | 4,075.44 | ||
Premium on Bond Payable | 924.56 | |||
Cash ( 100,000 x 5% ) | 5,000.00 | |||
c.) | Date | Account Name | Debit $ | Credit $ |
12/31/2021 | Interest Expense ( 102,775.09 - 889 - 924.56 ) x 4% | 4,038.47 | ||
Premium on Bond Payable | 961.53 | |||
Cash ( 100,000 x 5% ) | 5,000.00 | |||
12/31/2021 | Bond Payable | 1,00,000.00 | ||
Cash | 1,00,000.00 | |||
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