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Capital rationing—NPV approach A firm with a 13% cost of capital must select the

ID: 2716372 • Letter: C

Question

Capital rationing—NPV approach 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.

NPV at 13%

Project

Initial investment

cost of capital

A

$300,000

$ 84,000

B

200,000

10,000

C

100,000

25,000

D

900,000

90,000

E

500,000

70,000

F

100,000

50,000

G

800,000

160,000

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

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

NPV at 13%

Project

Initial investment

cost of capital

A

$300,000

$ 84,000

B

200,000

10,000

C

100,000

25,000

D

900,000

90,000

E

500,000

70,000

F

100,000

50,000

G

800,000

160,000

Explanation / Answer

(a) Present value of cash inflows associated with each project is NPV of the project at 13% cost of capital. which is already given in the question

(b)Select the combination of projects which will yield highest return without exceeding $1 million.:

4 projects with higher yields:

However we have to invest only 1million 1000000, therefore Project A,F, G should be selected.

Project Present Value of Cash Inflows A $84,000 B 10,000 C 25,000 D 90,000 E 70,000 F 50,000 G 160,000