Question

In: Finance

Deer and Doe purchased $120,000 of equipment six years ago. The equipment is 7-year MACRS property....

Deer and Doe purchased $120,000 of equipment six years ago. The equipment is 7-year MACRS property. The firm is selling this equipment today for $24,500. What is the after-tax cash flow from this sale if the tax rate is 35 percent?

Year                     1           2           3           4          5          6          7          8

Percent            14.29    24.49    17.49    12.49     8.93     8.93     8.93     4.45

a.

$27,455.40

b.

$25,785.40

c.

$15,925.00

d.

$21,544.60

e.

$18,209.60

Solutions

Expert Solution

Computation of annual depreciation expense and book value of the equipment:

Year

Initial cost of equipment (C)

MACRS % (R)

Annual depreciation (C x R)

Accumulated Depreciation (A)

Book Value

(C -A)

1

$120,000

0.1429

$17,148

$17,148

$102,852

2

0.2449

$29,388

$46,536

$73,464

3

0.1749

$20,988

$67,524

$52,476

4

0.1249

$14,988

$82,512

$37,488

5

0.0893

$10,716

$93,228

$26,772

6

0.0893

$10,716

$103,944

$16,056

7

0.0893

$10,716

$114,660

$5,340

8

0.0445

$5,340

Book value of the equipment at the end of year 6 is $ 16,056

Market value = $ 24,500

After tax cash flow from sales of equipment

= Market value – [(Market value – Book value) x Tax rate]

= $ 24,500 – [($ 24,500 - $ 16,056) x 0.35]

= $ 24,500 – ($ 8,444 x 0.35)

= $ 24,500 – $ 2,955.40

= $ 21,544.60

After-tax cash flow from the sales of equipment is $ 21,544.60

Hence option “d. $ 21,544.60” is correct answer.


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