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

ID: 2777496 • Letter: Q

Question

Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.4 million. The fixed asset falls into the three-year MACRS class. The project is estimated to generate $1,980,000 in annual sales, with costs of $695,000. The project requires an initial investment in net working capital of $200,000, and the fixed asset will have a market value of $310,000 at the end of the project.

  

If the required return is 18 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.)

Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.4 million. The fixed asset falls into the three-year MACRS class. The project is estimated to generate $1,980,000 in annual sales, with costs of $695,000. The project requires an initial investment in net working capital of $200,000, and the fixed asset will have a market value of $310,000 at the end of the project.

Explanation / Answer

Answer:

In the books of Quad Enterprises:

Initial Investment = $2,400,000

(-) Increase in working capital = $200,000

Net Cash Outflow at Year 0 = ($ -2,200,000)

Particulars

Year 1

Year 2

Year3

Sales

1,980,000

1,980,000

1,980,000

(-) Costs

695,000

695,000

695,000

(-) Depreciation (According to MACRS Schedule for three-year MACRS class)

696,597

929,005

309,529

Sub Total

588,403

355,995

975,471

(-) Tax on above @ 34%

200,057.02

121,038.3

331,660.14

(+) Depreciation (According to MACRS Schedule for three-year MACRS class)

696,597

929,005

309,529

Net Cash Outflow…..

1,084,942.98

1,163,961.7

953,339.86

  2.Calculation showing total cash outflow:

Years

Cash Flow

  Year 0

$ -2,200,000  

  Year 1

$ 1,084,942.98  

  Year 2

$ 1,163,961.7  

  Year 3

$ 953,339.86  

Total Cash Outflow

$ 1,002,244.54

3.Calculation showing NPV:

NPV = {Net Period Cash Flow/(1+R)^T} - Initial Investment,

Where R is the rate of return and T is the number of time periods.

Hence, NPV = $ 4,535,614.44

Particulars

Year 1

Year 2

Year3

Sales

1,980,000

1,980,000

1,980,000

(-) Costs

695,000

695,000

695,000

(-) Depreciation (According to MACRS Schedule for three-year MACRS class)

696,597

929,005

309,529

Sub Total

588,403

355,995

975,471

(-) Tax on above @ 34%

200,057.02

121,038.3

331,660.14

(+) Depreciation (According to MACRS Schedule for three-year MACRS class)

696,597

929,005

309,529

Net Cash Outflow…..

1,084,942.98

1,163,961.7

953,339.86