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Homework answers / question archive / A small strip-mining coal company is trying to decide whether it should purchase or lease a new clamshell
A small strip-mining coal company is trying to decide whether it should purchase or lease a new clamshell. If purchased, the "shell” will cost $140,000 and is expected to have a $37,500 salvage value after 6 years. Alternatively, the company can lease a clamshell for only $11,000 per year, but the lease payment will have to be made at the beginning of each year. If the clamshell is purchased, it will be leased to other strip-mining companies whenever possible, an activity that is expected to yield revenues of $16,000 per year. If the company's MARR is 8% per year, should the clamshell be purchased or leased on the basis of a future worth analysis? Assume the annual M&O cost is the same for both options. The future worth when purchased is $ -67291.6 The future worth when leased is $ The clamshell should be purchased
Buy | ||||
Year | Particulars | Cshflows | MARR @8% | PV of cash flows |
0 | Cost of shell | -140000 | 1 | -140000 |
1 | Leased revenue | 16000 | 0.93 | 14815 |
2 | Leased revenue | 16000 | 0.86 | 13717 |
3 | Leased revenue | 16000 | 0.79 | 12701 |
4 | Leased revenue | 16000 | 0.74 | 11760 |
5 | Leased revenue | 16000 | 0.68 | 10889 |
6 | Leased revenue | 16000 | 0.63 | 10083 |
6 | Solvage value | 37500 | 0.63 | 23631 |
Total outflows | -42403 | |||
Lease | ||||
Year | Particulars | Cashflows | MARR @8% | PV of cash flows |
0 | Lease payments | -11000 | 1 | -11000 |
1 | Lease payments | -11000 | 0.93 | -10185 |
2 | Lease payments | -11000 | 0.86 | -9431 |
3 | Lease payments | -11000 | 0.79 | -8732 |
4 | Lease payments | -11000 | 0.74 | -8085 |
5 | Lease payments | -11000 | 0.68 | -7486 |
Total outflows | -54920 | |||
Clamshell better to purchase the asset because total outflow for buying asset (42403) is lessthan lease (54920) |