Question

Sandia Inc. wants to acquire a $360,000 computer-controlled printing press. If owned, the press would be depreciated on a straight-line basis over 10 years to a book salvage value of $0. The actual cash salvage value is expected to be $25,000 at the end of 10 years. If purchased, Sandia will incur annual maintenance expenses of $3,000. These expenses would not be incurred if the press is leased. If the press is purchased, Sandia could borrow the needed funds at an annual pre-tax interest rate of 10%. The lease rate would be $48,000 per year, payable at the beginning of each year. If Sandia has an after-tax cost of capital of 12% and a marginal tax rate of 40%, what is the net advantage to leasing? a. $37,737 b. $65,543 c. $60,713 d. $57,173

Answer 1

a. $37,737

Step-by-step explanation:

Present value of Cost of Buying = The Cost of Press + [(Post Tax annual maintenance expenses - Annual Depreciation Tax shield)*PVIFA (6%,10)] - [Post tax Salvage Value*PVIF (12%,10)]

PV of Cost of Buying = 360000 + (3000*(1-40%)-360000/10*40%)*7.360 - 25000*(1-40%) * 0.322

PV of Cost of Buying = $262,434

Present value of Cost of Leasing = Post tax Lease Payment at the Beginning *(1+PVIFA(6%,9))

PV of Cost of Leasing = $48000*(1-40%)*(1+6.802)

PV of Cost of Leasing = $224,697

Net advantage to leasing = PV of Cost of Buying - PV of Cost of Leasing

Net advantage to leasing = $262,434 - $224,697

Net advantage to leasing = $37,737