In: Finance
On January 1, 2016, Eagle borrows $22,000 cash by signing a
four-year, 6% installment note. The note requires four equal total
payments of accrued interest and principal on December 31 of each
year from 2016 through 2019. (Table B.1, Table B.2, Table B.3, and
Table B.4) (Use appropriate factor(s) from the tables
provided. Round your intermediate calculations and final answers to
the nearest dollar amount. Round all table values to 4 decimal
places, and use the rounded table values in
calculations.)
Calculate the amount of the annual payments, and then prepare the
journal entries for Eagle to record the loan on January 1, 2016,
and the four payments from December 31, 2016, through December 31,
2019.
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Eagle borrows $22,000 cash by signing a four-year, 6% installment note. Record the issuance of the note on January 1, 2016
Calculation of Loan annual payment | ||||||||
We can use the present value of annuity formula to calculate annual loan payment. | ||||||||
Present Value of annuity = P x {[1 - (1+r)^-n]/r} | Loan payment Chart | |||||||
Present value of annuity = Loan amount = $22,000 | Towards | |||||||
P = Annual loan payment = ? | Date | Annual Payment | Interest | Principle | Note Payable | |||
r = interest rate = 6% | Jan.1,2016 | $22,000 | ||||||
n = number of annual payments = 4 | Dec.31,2016 | $6,349 | $1,320 | $5,029 | $16,971 | |||
22000 = P x {[1 - (1+0.06)^-4]/0.06} | Dec.31,2017 | $6,349 | $1,018 | $5,331 | $11,640 | |||
22000 = P x 3.4651 | Dec.31,2018 | $6,349 | $698 | $5,651 | $5,990 | |||
P = 6349 | Dec.31,2019 | $6,349 | $359 | $5,990 | $0 | |||
Annual Loan payment = $6,349 | ||||||||
Journal entries | ||||||||
Date | Account Titles | Debit | Credit | |||||
Jan.1,2016 | Cash | $22,000 | ||||||
Note Payable | $22,000 | |||||||
Dec.31,2016 | Interest Expense | $1,320 | ||||||
Note Payable | $5,029 | |||||||
Cash | $6,349 | |||||||
Dec.31,2017 | Interest Expense | $1,018 | ||||||
Note Payable | $5,331 | |||||||
Cash | $6,349 | |||||||
Dec.31,2018 | Interest Expense | $698 | ||||||
Note Payable | $5,651 | |||||||
Cash | $6,349 | |||||||
Dec.31,2019 | Interest Expense | $359 | ||||||
Note Payable | $5,990 | |||||||
Cash | $6,349 | |||||||