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In analyzing a new potential business MacDonald Publishing’s financial staff is

ID: 2733862 • Letter: I

Question

In analyzing a new potential business MacDonald Publishing’s financial staff is estimating an initial capital expenditure of $6.1 million. This equipment will be depreciated according to the MACRS 3 year class life and will have a market value of $1 million after four years. If MacDonald goes ahead with the new business, inventories and accounts payable will increase by $300,000 each. The new business is expected to have an economic life of four years and is expected to generate annual sales of 5 million and incur operating costs (excluding depreciation) of 3 million annually. If the company's tax rate is 40 percent and the required return is 10 percent, calculate the expected NPV of the new business.

Explanation / Answer

Answer: NPV = $ 144303.4

Working notes for the above answer is as under

We have been providede with the information that,

capital expenditure of

6,100,000

This equipment will be depreciated by

MACRS 3

Salvage at 4 th year

1,000,000

accounts payablenventory will increase

300,000

Increase in Sales

5,000,000

Increase in operating Expense

3,000,000

Increase in profit

2,000,000

Tax Rate

40%

Now with the help of this figure we will calculate NPV of the project as follow

Calculation of depriciation is as follow as per MACRs 3 year

year

Initial Amount

Dep. Rate

Depriciation

Closing
Balance

DTS=Dep*.40

1

6,100,000

33.33%

2033130

4,066,870

813252

2

6,100,000

44.45%

2711450

1,355,420

1084580

3

6,100,000

14.81%

903410

452,010

361364

4

6,100,000

7.41%

452010

0

180804

Calculation Of NPv

year

Cash Flow

Salvage

Total cash
Inflow

Less : Tax

After Tax
Cash Inlow

Add: DTs

Net Cash
Inflow

Pv Factor
@10%

Prasent Vaue

0

-6,100,000

-6,100,000

1

-6100000

1

2,000,000

2,000,000

800000

1,200,000

813252

2,013,252

0.909091

1830229

2

2,000,000

2,000,000

800000

1,200,000

1084580

2,284,580

0.826446

1888083

3

2,000,000

2,000,000

800000

1,200,000

361364

1,561,364

0.751315

1173076

4

2,000,000

1000000

3,000,000

1200000

1,800,000

180804

1,980,804

0.683013

1352916

144303.4

capital expenditure of

6,100,000

This equipment will be depreciated by

MACRS 3

Salvage at 4 th year

1,000,000

accounts payablenventory will increase

300,000

Increase in Sales

5,000,000

Increase in operating Expense

3,000,000

Increase in profit

2,000,000

Tax Rate

40%

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