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Cochrane, Inc., is considering a new three-year expansion project that requires

ID: 2762140 • Letter: C

Question

Cochrane, Inc., is considering a new three-year expansion project that requires an initial fixed asset investment of $2,220,000. The fixed asset will be depreciated straight-line to zero over its three-year tax life. The project is estimated to generate $2,190,000 in annual sales, with costs of $1,180,000. The project requires an initial investment in net working capital of $154,000, and the fixed asset will have a market value of $179,000 at the end of the project. Assume that the tax rate is 30 percent and the required return on the project is 13 percent. Requirement 1: What are the net cash flows of the project for the following years? Requirement 2: What is the NPV of the project?

Explanation / Answer

Initial Investment = $2,220,000
Net Working Capital = $154,000
Depreciation Per Year = $2,220,000/3 = $740,000
After tax market value of fixed asset at the end of project = $179,000 x (1-t) = $125,300

Requirement 1:

Year 0 = -$2,220,000 - $154,000 = -$2,374,000 (Outflow of $2,374,000)

Year

1

2

3

Sales

$2,190,000.00

$2,190,000.00

$2,190,000.00

Less: Cost

$1,180,000.00

$1,180,000.00

$1,180,000.00

Less: Depreciation

$740,000.00

$740,000.00

$740,000.00

EBT

$270,000.00

$270,000.00

$270,000.00

Less: Tax @ 30%

$81,000.00

$81,000.00

$81,000.00

Net Income

$189,000.00

$189,000.00

$189,000.00

Add: Net Working Capital

$0.00

$0.00

$154,000.00

Add: After tax salvage value of fixed asset

$0.00

$0.00

$125,300.00

Net Cash Flow

$189,000.00

$189,000.00

$468,300.00


Requirement 2:

NPV = -$2,374,000 + [($189,000)/(1.13)] + [($189,000)/(1.13)2] + [($468,300)/(1.13)3] = $1,224,916.15

Year

1

2

3

Sales

$2,190,000.00

$2,190,000.00

$2,190,000.00

Less: Cost

$1,180,000.00

$1,180,000.00

$1,180,000.00

Less: Depreciation

$740,000.00

$740,000.00

$740,000.00

EBT

$270,000.00

$270,000.00

$270,000.00

Less: Tax @ 30%

$81,000.00

$81,000.00

$81,000.00

Net Income

$189,000.00

$189,000.00

$189,000.00

Add: Net Working Capital

$0.00

$0.00

$154,000.00

Add: After tax salvage value of fixed asset

$0.00

$0.00

$125,300.00

Net Cash Flow

$189,000.00

$189,000.00

$468,300.00