Knight Motors is considering either leasing or buying some new equipment. The lease payments would be $14,500 a year for 3 years. The purchase price is $52,000. The equipment has a 3-year life and then is expected to have a resale value of $12,000. Knight Motors uses straight-line depreciation, borrows money at 9 percent, and has a 35 percent tax rate. What is the net advantage to leasing?
A) -$1,611 B) -$2,212 C) -$2,742 D) $3,529 E) $3,898
Option-1 Leasing | |||||
Annual Lease rent | -14500 | ||||
Less: tax rate @ 35% | 5075 | ||||
After tax Iease rent | -9425 | ||||
Multiply: Annuity PVF | 2.53129 | ||||
Present value of outflows | -23857.4 | ||||
Option-2 Purchase: | |||||
Tax shield in dep | 6066.667 | ||||
(52000/3*35%) | |||||
Multiply: Annuity factor | 2.53129 | ||||
Present value of tax shield | 15356.49 | ||||
Present value of Salvage | 9266.208 | ||||
(12000*0.772184) | |||||
Initial Investment | -52000 | ||||
Present value of purchase | -27377.3 | ||||
Net Benefit of leasing = 27377.3-23857.4 = 3519.90 | |||||
Answer is D. $ 3529. | |||||
The difference is due to rounding off. | |||||
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