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A firm with a 13% cost of capital must select the optimal group of projects from

ID: 2715374 • Letter: A

Question

A firm with a 13% cost of capital must select the optimal group of projects from those shown in the following table, given its capital budget of $1 million.

Project

Initial Investment

NPV at 13% cost of capital

A

(300,000.00)

         84,000.00

B

(200,000.00)

         10,000.00

C

(100,000.00)

         25,000.00

D

(900,000.00)

         90,000.00

E

(500,000.00)

         70,000.00

F

(100,000.00)

         50,000.00

G

(800,000.00)

      160,000.00

Calculate the present value of cash inflows associated with each project.

Select the optimal group of project, keeping in mind that unused funds are costly.

Project

Initial Investment

NPV at 13% cost of capital

A

(300,000.00)

         84,000.00

B

(200,000.00)

         10,000.00

C

(100,000.00)

         25,000.00

D

(900,000.00)

         90,000.00

E

(500,000.00)

         70,000.00

F

(100,000.00)

         50,000.00

G

(800,000.00)

      160,000.00

Explanation / Answer

Determination of the cash flows and selecting the investments:

Project

Initial investment

NPV

Cash inflows

Choose

A

-300,000

84,000

384,000

a

B

-200,000

10,000

210,000

r

C

-100,000

25,000

125,000

a

D

-900,000

90,000

990,000

r

E

-500,000

700,000

1200,000

a

F

-100,000

50,000

150,000

a

G

-800,000

160,000

960,000

r

Project

Initial investment

NPV

Cash inflows

Choose

A

-300,000

84,000

384,000

a

B

-200,000

10,000

210,000

r

C

-100,000

25,000

125,000

a

D

-900,000

90,000

990,000

r

E

-500,000

700,000

1200,000

a

F

-100,000

50,000

150,000

a

G

-800,000

160,000

960,000

r

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