In: Accounting
Present value of the future lease payments = Lease payments * Present value of annuity due ( 9%, 7years) = 5.48592 * 20,000 = 109718.4
Year | Lease payments | Interest
on lease liability [PV of lease *9%] |
Reduction
of lease liability [Lease - Interest] |
Lease
liability [ Pv of previous year - Principal] |
Inception | 109718.4 | |||
1 | 20,000 | 0 | 20,000 | 89,718 |
2 | 20,000 | 8074.656 | 11,925 | 77,793 |
3 | 20,000 | 7001.37504 | 12,999 | 64,794 |
4 | 20,000 | 5831.498794 | 14,169 | 50,626 |
5 | 20,000 | 4556.333685 | 15,444 | 35,182 |
6 | 20,000 | 3166.403717 | 16,834 | 18,349 |
7 | 20,000 | 1651.380051 | 18,349 | 0 |
Date | Account Titles | Debit | Credit |
Year 1 | Leased equipment | 109718 | |
Obligation under capital lease | 109718 | ||
Year 1 | Obligation under capital lease | 20,000 | |
Cash | 20,000 | ||
Year 1 |
Depreciation expense [109718/7] |
15674 | |
Accumulated depreciation - capital leases | 15674 | ||
Year 2 | Obligation under capital lease | 11,925 | |
Interest payable | 8075 | ||
Cash | 20,000 | ||
Year 2 |
Depreciation expense [109718/7] |
15674 | |
Accumulated depreciation - capital leases | 15674 | ||
Year 3 | Obligation under capital lease | 12,999 | |
Interest payable | 7001 | ||
Cash | 20,000 | ||
Year 3 |
Depreciation expense [109718/7] |
15674 | |
Accumulated depreciation - capital leases | 15674 |
The company should lease the machine since the present worth of cash outflows is lesser as compared to purchasing the machine.