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A small strip-mining coal company is trying to decide whether it should purchase or lease a new clamshell

Economics Nov 28, 2020

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

Expert Solution

  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)
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