Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

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

ID: 2777667 • 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 required return is 12 percent, what is the project's NPV? (Enter your answer in dollars, not millions of dollars, e.g. 1,234,567. Do not round intermediate calculations and round your final answer to 2 decimal places, e.g., 32.16.)

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

Net present value

year

Cash flow

PV factor 12%

PV

0

-3120000.00

1.0000

-3120000.00

1

1177617.45

0.8929

1051444.15

2

1286204.25

0.7972

1025354.15

3

1545378.30

0.7118

1099969.75

NPV

56768.05

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