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Gaston Company is considering a capital budgeting project that would require a $

ID: 2474774 • Letter: G

Question

Gaston Company is considering a capital budgeting project that would require a $3,300,000 investment in equipment with a useful life of five years and no salvage value. The company’s tax rate is 30% and its after-tax cost of capital is 12%. It uses the straight-line depreciation method for financial reporting and tax purposes. The project would provide net operating income each year for five years as follows:

  

Gaston Company is considering a capital budgeting project that would require a $3,300,000 investment in equipment with a useful life of five years and no salvage value. The company’s tax rate is 30% and its after-tax cost of capital is 12%. It uses the straight-line depreciation method for financial reporting and tax purposes. The project would provide net operating income each year for five years as follows:

Explanation / Answer

Solution:

Calculation of Annual Cash Flow

Annual Cash Flow = Net Income + Depreciation Expenses = $322,000 + $660,000 = $982,000

Net Income = Net Operating Income x (1- Tax Rate) = $460,000 x (1 – 0.30) = $322,000

Calculation of Net Present Value

Year

Cash Flow

PV factor @ 12%

Present Value of Cash Flow

(Cash Flow x PV Factor)

0

($3,300,000)

1.000

($3,300,000)

1

$982,000

0.893

$876,786

2

$982,000

0.797

$782,844

3

$982,000

0.712

$698,968

4

$982,000

0.636

$624,079

5

$982,000

0.567

$557,213

Net Present Value

$239,890

Year

Cash Flow

PV factor @ 12%

Present Value of Cash Flow

(Cash Flow x PV Factor)

0

($3,300,000)

1.000

($3,300,000)

1

$982,000

0.893

$876,786

2

$982,000

0.797

$782,844

3

$982,000

0.712

$698,968

4

$982,000

0.636

$624,079

5

$982,000

0.567

$557,213

Net Present Value

$239,890