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Williams\' Paints is weighing a lease versus a purchase of some new machinery. T

ID: 2749951 • Letter: W

Question

Williams' Paints is weighing a lease versus a purchase of some new machinery. The purchase price is $312,000. The equipment will be depreciated to zero over the 4-year life of the project after which time it is expected to have a resale value of $76,000. The firm uses straight-line depreciation and can borrow money at 8 percent. The equipment can be leased for $66,000 a year for 4 years. Williams' Paints does not expect to owe any taxes for the next 4 years because of its net operating losses. What is the net advantage to leasing?

a. $9,846

b. $11,900

c. $24,924

d. $28,207

e. $37,537

Explanation / Answer

Year

0

1

2

3

4

Annual lease payments

-$66,000

-$66,000

-$66,000

-$66,000

Saving of cost of machinery

$312,000

Loss of Salvage value

-$76,000

Net cash flow

$312,000

-$66,000

-$66,000

-$66,000

-$142,000

Present value factor @ 8%

1

0.9259

0.8573

0.7938

0.7350

Present value of cash flow

$312,000

-$61,109.40

-$56,581.80

-$52,390.80

-$104,370

Net advantage of leasing = $312,000 - $61,109.40 - $56,581.80 - $52,390.80 - $104,370 = $37,548

Hence, answer is e. $37,537

Year

0

1

2

3

4

Annual lease payments

-$66,000

-$66,000

-$66,000

-$66,000

Saving of cost of machinery

$312,000

Loss of Salvage value

-$76,000

Net cash flow

$312,000

-$66,000

-$66,000

-$66,000

-$142,000

Present value factor @ 8%

1

0.9259

0.8573

0.7938

0.7350

Present value of cash flow

$312,000

-$61,109.40

-$56,581.80

-$52,390.80

-$104,370

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