In: Accounting
Exercise 15-30 (Algo) Purchase option; lessor; sales-type lease; no selling profit [LO15-2, 15-6]
Universal Leasing leases electronic equipment to a variety of
businesses. The company’s primary service is providing alternate
financing by acquiring equipment and leasing it to customers under
long-term sales-type leases. Universal earns interest under these
arrangements at a 9% annual rate.
The company leased an electronic typesetting machine it purchased
for $49,900 to a local publisher, Desktop Inc., on December 31,
2020. The lease contract specified annual payments of $10,249
beginning January 1, 2021, the beginning of the lease, and each
December 31 through 2022 (three-year lease term). The publisher had
the option to purchase the machine on December 30, 2023, the end of
the lease term, for $28,000 when it was expected to have a residual
value of $32,000, a sufficient difference that exercise seems
reasonably certain. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD
of $1 and PVAD of $1) (Use appropriate factor(s) from the
tables provided.)
Required:
1. Show how Universal calculated the $10,249
annual lease payments for this sales-type lease.
2. Prepare an amortization schedule that describes
the pattern of interest revenue for Universal Leasing over the
lease term.
3. Prepare the appropriate entries for Universal
Leasing from the beginning of the lease through the end of the
lease term.
1. Show how Universal calculated the $10,249 annual lease payments for this sales-type lease.
.
Calculation of annual lease payment as follows:
Amount to be recovered:
Purchase price = 49900
Less : PV of sales value at end of lease =28000 * ( 1 / 1+9%)^3 = 28000 * 0.77218 = 21621
Amount to be recovered through lease payment = 49900 – 21621 = 28279
Lease payment at beginning of each year = Amount to be recovered through lease payment / PVAD
PVAD @9%, 3 = 2.75911
Lease payment at beginning of each year = 28279 / 2.75911 = $10249
.
2. Prepare an amortization schedule that describes the pattern of interest revenue for Universal Leasing over the lease term.
.
Date |
Payment |
Interest @9% |
Principal Repayment |
Balance |
Jan 1, 2021 |
49900 |
|||
Jan 1, 2021 |
10249 |
10249 |
39651 |
|
Dec 31, 2021 |
10249 |
3569 |
6680 |
32971 |
Dec 31, 2022 |
10249 |
2967 |
7282 |
25689 |
Dec 31, 2023 |
28000 |
2312 |
25688 |
· The 1 different in Last principal repayment and balance at the end of 2022 is from round off difference.
.
3. Prepare the appropriate entries for Universal Leasing from the beginning of the lease through the end of the lease term.
.
Date |
Accounts |
Debit |
Credit |
2021 Jan 1 |
Lease Receivable |
$49900 |
|
Machinery |
$49900 |
||
Jan 1 |
Cash |
$10249 |
|
Lease receivable |
$10249 |
||
Dec 31 |
Cash |
$10249 |
|
Interest revenue |
$3569 |
||
Lease receivable |
$6680 |
||
2022 Dec 31 |
Cash |
$10249 |
|
Interest revenue |
$2967 |
||
Lease receivable |
$7282 |
||
2023 Dec 31 |
Cash |
$28000 |
|
Interest revenue |
$2312 |
||
Lease receivable |
$25688 |