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To finance some manufacturing tools it needs for the next 4 years, Waldrop Corpo

ID: 2773933 • Letter: T

Question

To finance some manufacturing tools it needs for the next 4 years, Waldrop Corporation is considering a leasing arrangement.

Waldrop Corporation has no use for the machine beyond the expiration of the lease, and the machine has an estimated residual value of $250,000 at the end of the 4th year.

The machinery falls into the MACRS 3-year class. The MACRS allowance factors are 0.3333, 0.4445, 0.1481, and 0.0741 for Year 1, 2, 3, 4, respectively.

It can borrow $1.58 million, the purchase price, at an interest rate of 15% and buy the tools, or it can make four (4) equal end-of-year lease payments of $400,000 each and lease them.

The loan obtained from the bank is a 4-year simple interest loan, with interest paid at the end of each year for four years and the principal repaid at Year 4.

The firm's tax rate is 40%.

Under either the lease or the purchase, Waldrop Corporation must pay for insurance, property taxes, and maintenance.

What is the net advantage to leasing (NAL)?

Explanation / Answer

Cost of Buying :

Year 1 Cash flow = - Post tax interest payment + Depreciation * tax rate

Year 1 Cash flow = -1580000*15%*(1-40%) + 1580000*0.3333*40%

Year 1 Cash flow = $ 68445.60

Year 2 Cash flow = - Post tax interest payment + Depreciation * tax rate

Year 2 Cash flow = -1580000*15%*(1-40%) + 1580000*0.4445*40%

Year 2 Cash flow = $ 138,724

Year 3 Cash flow = - Post tax interest payment + Depreciation * tax rate

Year 3 Cash flow = -1580000*15%*(1-40%) + 1580000*0.1481*40%

Year 3 Cash flow = - $ 48,600.80

Year 4 Cash flow = - Post tax interest payment + Depreciation * tax rate - Principal payment + Post tax salvage value

Year 4 Cash flow = -1580000*15%*(1-40%) + 1580000*0.0741*40% - 1580000 + 250000*(1-40%)

Year 4 Cash flow = - $ 1,525,368.80

Present Value = 68445.60/1.15 + 138724/1.15^2 - 48600.80/1.15^3 - 1525368.80/1.15^4

Present Value = $ - 739,677.19

Cost of Leasing

Annual Post tax lease payment = lease payment*(1-tax rate)

Annual Post tax lease payment = 400000*(1-40%)

Annual Post tax lease payment = 240000

Present value = -240000*(1- (1+15%)^-4)/15%

Present value = -$685194.81

NAL = Present Value of Cost of Leasing - Present Value of Cost of Buying

NAL = - 685194.81 -(-739677.19)

NAL = $ 54,482.38

Answer

NAL = $ 54,482.38

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