On January 1, 2020, the first day of its accounting year, Lessor Inc., leased certain equipment at an annual pay-
ment of $10,254.19, receivable at the beginning of each year for 10 years. The first payment was received im-
mediately. The equipment has an estimated useful life of 12 years and no residual value. Lessor’s implicit rate
is 6%. Lessor had no other costs associated with this lease and properly classified the lease as a sales-type lease.
The leased equipment was carried on Lessor Inc.’s books at $65,000.
Required
a. Calculate the value of the lease receivable at the commencement of the lease.
b. What amounts would be presented in the balance sheet as of December 31, 2020, related to this lease?
c. What amounts would be presented in the income statement for the year ended December 31, 2020, related
to this lease?
Implicit rate of interest =6% | |
Annual Lease paymnet at the start of the year =$10,254.19 | |
PV Annuity factor for 9 payments @6%=(1-1.06^-9)/6%= | 6.80169 |
PV of Min Lease Payments |
Cash flow | Amt $ | PV/PV Annuity factor | PV of Cash flow |
Lease paymnet Jan 1 2020 | 10,254.19 | 1.00 | 10,254.19 |
Annual Lease paymnets Jan 1 on subsequent 9 years | 10,254.19 | 6.80169 | 69,745.84 |
Total PV of Min Lease Payments | 80,000.03 | ||
Ans a. | |||
Value of the Lease Receivable at commencement of lease = | $ 80,000 |
Ans b. | |
Lease paymnet made on Jan 1,2020 | $ 10,254.19 |
Outstanding Lease Balance for 2020=80000-10254.19= | $ 69,745.84 |
Interest payable for 2020=69745.84*6%= | $ 4,184.75 |
Year | Openinh Lease Bal | Installment | Interest | Principal repaid | Closing Loan Bal |
1 | 80,000.00 | $ 10,254.19 | 0 | $ 10,254.19 | $ 69,745.81 |
2 | $ 69,745.81 | $ 10,254.19 | $ 4,184.75 | $ 6,069.44 | $ 63,676.37 |
3 | $ 63,676.37 | $ 10,254.19 | $ 3,820.58 | $ 6,433.61 | $ 57,242.76 |
Lessor Inc. | |
Balance Sheet (Partial ) | |
As on Dec31,2020 | |
Assets : | |
Current Assets: | |
Accrued Interest Income on Lease Receivable | $ 4,184.75 |
Lease Receivable : Current Portion | $ 6,069.44 |
Non Current Assets | |
Lease Receivable : Non Current Portion | $ 63,676.37 |
Ans c, | |
Lessor Inc. | |
Income Statement(partial) | |
for the year ended Dec 31,2020 | |
Accrued Lease Interest Income | $ 4,184.75 |
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