In: Accounting
Alt Corporation enters into an agreement with Yates Rentals Co.
on January 1, 2021 for the purpose of leasing a machine to be used
in its manufacturing operations. The following data pertain to the
agreement:
(a) The term of the noncancelable lease is 3 years with no renewal
option. Payments of $574,864 are due on January 1 of each
year.
(b) The fair value of the machine on January 1, 2021, is
$1,600,000. The machine has a remaining economic life of 10 years,
with no salvage value. The machine reverts to the lessor upon the
termination of the lease.
(c) Alt depreciates all machinery it owns on a straight-line
basis.
(d) Alt’s incremental borrowing rate is 10% per year. Alt does not
have knowledge of the 8% implicit rate used by Yates.
(e) Immediately after signing the lease, Yates finds out that Alt
Corp. is the defendant in a suit which is sufficiently material to
make collectibility of future lease payments doubtful.
Future Value of Ordinary Annuity of 1 | |||||
Period | 5% | 6% | 8% | 10% | 12% |
1 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 |
2 | 2.05000 | 2.06000 | 2.08000 | 2.10000 | 2.12000 |
3 | 3.15250 | 3.18360 | 3.24640 | 3.31000 | 3.37440 |
4 | 4.31013 | 4.37462 | 4.50611 | 4.64100 | 4.77933 |
5 | 5.52563 | 5.63709 | 5.86660 | 6.10510 | 6.35285 |
6 | 6.80191 | 6.97532 | 7.33592 | 7.71561 | 8.11519 |
7 | 8.14201 | 8.39384 | 8.92280 | 9.48717 | 10.08901 |
8 | 9.54911 | 9.89747 | 10.63663 | 11.43589 | 12.29969 |
9 | 11.02656 | 11.49132 | 12.48756 | 13.57948 | 14.77566 |
10 | 12.57789 | 13.18079 | 14.48656 | 15.93743 | 17.54874 |
Present Value of an Annuity Due of 1 | |||||||||||
Period | 5% | 6% | 8% | 10% | 12% | ||||||
1 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | 1.00000 | ||||||
2 | 1.95238 | 1.94340 | 1.92593 | 1.90909 | 1.89286 | ||||||
3 | 2.85941 | 2.83339 | 2.78326 | 2.73554 | 2.69005 | ||||||
4 | 3.72325 | 3.67301 | 3.57710 | 3.48685 | 3.40183 | ||||||
5 | 4.54595 | 4.46511 | 4.31213 | 4.16986 | 4.03735 | ||||||
6 | 5.32948 | 5.21236 | 4.99271 | 4.79079 | 4.60478 | ||||||
7 | 6.07569 | 5.91732 | 5.62288 | 5.35526 | 5.11141 | ||||||
8 | 6.78637 | 6.58238 | 6.20637 | 5.86842 | 5.56376 | ||||||
9 | 7.46321 | 7.20979 | 6.74664 | 6.33493 | 5.96764 | ||||||
10 | 8.10782 | 7.80169 | 7.24689 | 6.75902 | 6.32825 |
If Alt accounts for the lease as an operating lease, what expenses
will be recorded as a consequence of the lease during the fiscal
year ended December 31, 2021?
Amortization Expense and Interest Expense |
Interest Expense |
Lease Expense |
Amortization Expense |
Lessee Accounting: Alt Corporatiion | ||||
The lease liability and the ROU asset are measured on the commencement date using the Implicit rate of interest or incremental borrowing rate(if implicit rate is not known)(i.e., 10% p.a. in this case) at lease commencement date . The lease liability is accounted for by the interest method subsequently and the ROU asset is subject to depreciation on the straight-line basis over the lease term of 3 year. | ||||
The leasee shall record the lease liability (Present value of Lease payment & expected residual value, if guaranteed ) & right in use asset in the given case. | ||||
Year | Payments (Cash flows) | Present Value Factor @10%p.a. | Discounted Cash flows/ Present value | |
1 | $ 574,864.00 | 1 | $ 574,864 | |
2 | $ 574,864.00 | 0.90909 | $ 522,604 | |
3 | $ 574,864.00 | 0.82645 | $ 475,094 | |
Total | $ 1,724,592 | 1,572,562 | ||
Lease Amortisation Schedule: | ||||
Year | Opening lease liability | Lease Payments | Interest Expense @ 8% per annum | Closing lease liability |
a | b | c=(a-b)*10% | d=a+c-b | |
1 | $ 1,572,562 | $ 574,864 | $ 99,770 | $ 1,097,468 |
2 | $ 1,097,468 | $ 574,864 | $ 52,260 | $ 574,864 |
3 | $ 574,864 | $ 574,864 | $ (0) | $ (0) |
Note: As the lease payment is being made at the beginning of the quarter, interest will be calculated on Opening lease liability less lease payment . | ||||
Right in use asset Schedule: (Amortisation=$15,72,562/3 year= $524,187) | ||||
Year | Opening | Depreciation | Closing | |
1 | $ 1,572,562 | $ 524,187 | $ 1,048,375 | |
2 | $ 1,048,375 | $ 524,187 | $ 524,187 | |
3 | $ 524,187 | $ 524,187 | $ - | |
In the books of Leasee | ||||
a | Journal Entries | |||
Year | Particulars | Debit | Credit | |
01-01-21 | Right of Use Asset A/C | $ 1,572,562 | ||
To Lease liabilty A/C | $ 1,572,562 | |||
(Being initially recognise the lease-related asset and liability .) | ||||
01-01-21 | Lease liabilty A/C | $ 574,864 | ||
To Cash A/C | $ 574,864 | |||
(To record lease payment) | ||||
31-12-21 | Interest expense A/C | $ 99,770 | ||
To Lease liabilty A/C | $ 99,770 | |||
(Being interest expense & lease liablity paid) | ||||
($15,72,562-$574,864)*10% | ||||
31-12-20 | Amortisation expense A/C | $ 524,187 | ||
To Right of Use Asset A/C | $ 524,187 | |||
(To record depreciation expense on the ROU asset) | ||||
($15,72,562/10 year) | ||||
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