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Quad Enterprises is considering a new three-year expansion project that requires

ID: 2776674 • Letter: Q

Question

Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.64 million. The fixed asset falls into the three-year MACRS class. The project is estimated to generate $2,060,000 in annual sales, with costs of $759,000. The project requires an initial investment in net working capital of $280,000, and the fixed asset will have a market value of $270,000 at the end of the project. If the tax rate is 35 percent, what is the project's Year 0 net cash flow? Year 1? Year 2? Year 3? If the required return is 13 percent, what is the project's NPV?

Explanation / Answer

Calculation of depreciation:

year

1

2

3

Depreciation Basis

2640000

2640000

2640000

MACRS rate

33.33%

44.45%

14.81%

Depreciation

879912

1173480

390984

Depreciation

879912

1173480

390984

tax rate

35%

35%

35%

Depreciation tax shield

307969.2

410718

136844.4

Book value of asset at the end of 3rd year:

Book value = cost of asset – total depreciation

                                = 2,640,000 – (879912+1173480+390984)

                                = 195624

Net Salvage value = salvage value – capital gain tax

                                   = 270,000 - (270,000-195624)x0.35

                                    = 243968.4

Cash flows

Year

0

1

2

3

cost of fixed asset

-2640000

sales

2060000

2060000

2060000

cost of sales

-759000

-759000

-759000

EBIT

1301000

1301000

1301000

Tax 35%

-455350

-455350

-455350

Operating income

845650

845650

845650

Depreciation tax shield

307969.2

410718

136844.4

working capital

-280000

280000

Net salvage value

243968.4

Cash flows

-2920000.00

1153619.20

1256368.00

1506462.80

NPV

year

Cash flow

PV factor 13%

PV

0

-2920000.00

1.0000

-2920000.00

1

1153619.20

0.8850

1020901.95

2

1256368.00

0.7831

983920.43

3

1506462.80

0.6931

1044054.29

NPV

128876.67

Hence, NPV of the project is 128876.67.

year

1

2

3

Depreciation Basis

2640000

2640000

2640000

MACRS rate

33.33%

44.45%

14.81%

Depreciation

879912

1173480

390984