Question

In: Finance

You work for a nuclear research laboratory that is contemplating leasing a diagnostic scanner (leasing is...

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?

Solutions

Expert Solution

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

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