In: Finance
You work for a nuclear research laboratory that is contemplating leasing a diagnostic scanner (leasing is a very common practice with expensive, high-tech equipment). The scanner costs $6,000,000 and it would be depreciated straight-line to zero over five years. Because of radiation contamination, it actually will be completely valueless in five years. You can lease it for $1,450,000 per year for five years. |
The tax rate is 25 percent. You can borrow at 7 percent before taxes. What is the NAL of the lease from the lessor's viewpoint? |
Post tax cost of debt | 5.25% | ||||||
Buying the equipment | |||||||
Loan amount | 6000000 | ||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 | |
Interest Cost | 420000 | 420000 | 420000 | 420000 | 420000 | ||
Depreciation | 1200000 | 1200000 | 1200000 | 1200000 | 1200000 | ||
Total | 1620000 | 1620000 | 1620000 | 1620000 | 1620000 | ||
Tax shield | 405000 | 405000 | 405000 | 405000 | 405000 | ||
Post tax cost | 1215000 | 1215000 | 1215000 | 1215000 | 1215000 | ||
Less: depreciation | 1200000 | 1200000 | 1200000 | 1200000 | 1200000 | ||
Add: loan payback | 6000000 | ||||||
Net Cash out flow | 15000 | 15000 | 15000 | 15000 | 6015000 | ||
NPV @ 5.25% | $4,710,084.18 | ||||||
Lease Option | |||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 | |
Lease cost | 1450000 | 1450000 | 1450000 | 1450000 | 1450000 | ||
Tax shield | 362500 | 362500 | 362500 | 362500 | 362500 | ||
Post tax cost | 1087500 | 1087500 | 1087500 | 1087500 | 1087500 | ||
Net Cash out flow | 1087500 | 1087500 | 1087500 | 1087500 | 1087500 | ||
NPV @ 5.25% | $4,675,944.84 | ||||||
NAL | $34,139.35 | This is | from lessee | standpoint | |||
For Lessor, the sign is negative | -$34,139.35 |