1)
The factors from the given information that will identify the lease criteria are
A. Life of equipment and its lease period
B. Present value of lease payment and Fair value of asset
Present value of lease payments = $25,250 + $25,250 x Present value annuity factor for 9 years at 9% + $20,000 x Present vakue factor for 10th year at 9%
= $25,250 + $25,250 x 5.99525 + $20,000 x 0.42241
= $185,078.2
Fair value is $185,078
2)
The lease is a Finance lease, as it satisfies two conditions for being a finance lease. One condition being it covers the major portion of the assets useful life (10 out of 11 years). The secondary condition being the present value of lease payments are almost equal to fair value of leased asset.
3)
The asset will be recognised at $185,078 and this will be amortized as expense over its lease term of 10 years.
Amortization expense per year = $185,078/10 = $18,507.8
Asset value amortization chart
Year | Opening balance | Amortization | Closing balance |
2020 | 185,078 | 10,796.217 | 174,281.783 |
2021 | 174,281.883 | 18,507.8 | 155,773.983 |
2022 | 155,773.983 | 18,507.8 | 137,266.183 |
2023 | 137,266.183 | 18,507.8 | 118,758.383 |
2024 | 118,758.383 | 18,507.8 | 100,250.583 |
2025 | 100,250.583 | 18,507.8 | 81,742.783 |
2026 | 81,742.783 | 18,507.8 | 63,234.983 |
2027 | 63,234.983 | 18,507.8 | 44,727.183 |
2028 | 44,727.183 | 18,507.8 | 26,219.383 |
2029 | 26,219.383 | 18,507.8 | 7,711.583 |
2030 | 7,711.583 | 7,711.583 | 0 |
Note : As we do not know the country of the client, we opt the calander year as accounting year. So for first year only 7 months amortization is provided. (18,507.8 x 7/12 = 10,796.217)
Lease payments and it's Interest expense breakup is not asked in question, so not bifurcated.
4)
The present value of future annuity payments would be = $185,072.2 - $20,000 x 0.42241 (calculated in point 1)
= $176,630
So, the amount mentioned in the question is wrong
(The payments are made at the beginning of each year and not at the end of each year). (You have considered them to paid at end of each year, only then the answe will be $162,046)
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