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

ID: 2777765 • Letter: Q

Question

Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.79 million. The fixed asset falls into the three-year MACRS class. The project is estimated to generate $2,110,000 in annual sales, with costs of $799,000. The project requires an initial investment in net working capital of $330,000, and the fixed asset will have a market value of $225,000 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? (MACRS schedule) (Enter your answers in dollars, not millions of dollars, e.g. 1,234,567. Negative amounts should be indicated by a minus sign. Do not round intermediate calculations and round your final answers to 2 decimal places, e.g., 32.16.)

Explanation / Answer

Calculation of depreciation tax shield

year

1

2

3

Depreciation basis

2790000

2790000

2790000

Depreciation rate 1/3

33.33%

44.45%

14.81%

Depreciation

929907

1240155

413199

x tax rate 35%

35%

35%

35%

Depreciation Tax shield

325467.45

434054.25

144619.65

Calculation of net salvage value

Book value = cost of asset x last year macrs rate

                      = 2,790,000 x7.41%

                      = 206,739

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

                                    = 225,000 – (225,000-206,739) x35%

                                    = 218,608.65

Cash flows:

Year

0

1

2

3

initial cost of investment

-2790000

Sales revenue

2110000

2110000

2110000

(-) cost of sales

-799000

-799000

-799000

EBIT

1311000

1311000

1311000

(-) taxes 35%

-458850

-458850

-458850

Cash income

852150

852150

852150

Depreciation tax benefit

325467.45

434054.25

144619.65

net salvage value

218608.65

Working capital

-330000

0

0

330000

Net Cash flows

-3120000.00

1177617.45

1286204.25

1545378.30

year

1

2

3

Depreciation basis

2790000

2790000

2790000

Depreciation rate 1/3

33.33%

44.45%

14.81%

Depreciation

929907

1240155

413199

x tax rate 35%

35%

35%

35%

Depreciation Tax shield

325467.45

434054.25

144619.65