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Archer Daniels Midland Company is considering buying a new farm that it plans to

ID: 2724139 • Letter: A

Question

Archer Daniels Midland Company is considering buying a new farm that it plans to operate for 10 years. The farm will require an initial investment of $12.10 million. This investment will consist of $2.70 million for land and $9.40 million for trucks and other equipment. The land, all trucks, and all other equipment is expected to be sold at the end of 10 years at a price of $5.21 million, $2.40 million above book value. The farm is expected to produce revenue of $2.08 million each year, and annual cash flow from operations equals $1.92 million. The marginal tax rate is 35 percent, and the appropriate discount rate is 9 percent. Calculate the NPV of this investment. (Round intermediate calculations and final answer to 2 decimal places, e.g. 15.25.) NPV $ The project should be .

Explanation / Answer

Solution:

Year

Cash flow

PVIF @ 9%

PV

0

(12,100,000)

1.000

    (12,100,000)

1

       1,920,000

0.917

         1,761,468

2

       1,920,000

0.842

         1,616,026

3

       1,920,000

0.772

         1,482,592

4

     1,920,000

0.708

         1,360,176

5

       1,920,000

0.650

         1,247,868

6

       1,920,000

0.596

         1,144,833

7

       1,920,000

0.547

         1,050,306

8

       1,920,000

0.502

             963,583

9

       1,920,000

0.460

             884,021

10

       6,290,000*

0.422

         2,656,964

NPV

   2,067,838.01

Year 10 CF = 1,920,000 + 5,210,000 - 2,400,000*0.35 = $6,290,000

Year

Cash flow

PVIF @ 9%

PV

0

(12,100,000)

1.000

    (12,100,000)

1

       1,920,000

0.917

         1,761,468

2

       1,920,000

0.842

         1,616,026

3

       1,920,000

0.772

         1,482,592

4

     1,920,000

0.708

         1,360,176

5

       1,920,000

0.650

         1,247,868

6

       1,920,000

0.596

         1,144,833

7

       1,920,000

0.547

         1,050,306

8

       1,920,000

0.502

             963,583

9

       1,920,000

0.460

             884,021

10

       6,290,000*

0.422

         2,656,964

NPV

   2,067,838.01

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