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

ID: 2777476 • Letter: Q

Question

Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $3 million. The fixed asset falls into the three-year MARCS class. The project is estimated to generate $2,180,000 in annual sales, with costs of $855,000. The project requires an initial investment in net working capital of $400,000, and the fixed asset will have a market value of $260,000 at the end of the project. If the tax rate is 30 percent, what is the project's Year 0 net cash flow? Year 1? Year 2? Year 3? If the required return is 9 percent, what is the project's NPV? Please show each step. Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $3 million. The fixed asset falls into the three-year MARCS class. The project is estimated to generate $2,180,000 in annual sales, with costs of $855,000. The project requires an initial investment in net working capital of $400,000, and the fixed asset will have a market value of $260,000 at the end of the project. If the tax rate is 30 percent, what is the project's Year 0 net cash flow? Year 1? Year 2? Year 3? If the required return is 9 percent, what is the project's NPV? Please show each step.

Explanation / Answer

Calculation of depreciation tax shield

year

1

2

3

Depreciation basis

3000000

3000000

3000000

x MACS rate

33.33%

44.45%

14.81%

Depreciation

999900

1333500

444300

x tax rate 30%

30%

30%

30%

Depreciation Tax shield

299970

400050

133290

Calculation of net salvage value

Book value = cost of asset x last year macrs rate

                      = 3,000,000 x7.41%

                      = 222,300

Net salvage value = salvage value – (salvage value – book value) x tax rate

                                    = 260,000 – (260,000-222,300) x30%

                                    = 248,690

Cash flows calculation

Year

0

1

2

3

initial cost of investment

-3000000

Sales revenue

2180000

2180000

2180000

(-) cost of sales

-855000

-855000

-855000

EBIT

1325000

1325000

1325000

(-) taxes 30%

-397500

-397500

-397500

Cash income

927500

927500

927500

Depreciation tax benefit

299970

400050

133290

net salvage value

248690

Working capital

-400000

0

0

400000

Net Cash flows

-3400000

1227470

1327550

1709480

Net present value calculation

year

Cash flow

PV factor 9%

PV

0

-3400000

1.0000

-3400000.00

1

1227470

0.9174

1126119.27

2

1327550

0.8417

1117372.28

3

1709480

0.7722

1320032.22

NPV

163523.76

Hence, NPV of the project is 163,523.76.

year

1

2

3

Depreciation basis

3000000

3000000

3000000

x MACS rate

33.33%

44.45%

14.81%

Depreciation

999900

1333500

444300

x tax rate 30%

30%

30%

30%

Depreciation Tax shield

299970

400050

133290