Question

In: Finance

BLUEBOX LIMITED has reported net income of R54 million for the 2020 financial year. The company...

BLUEBOX LIMITED has reported net income of R54 million for the 2020 financial year.

The company is considering the following divisible projects for the 2021 financial year:

PROJECT

A

B

C

D

E

COST RM

40.0

35.0

50.0

30.0

10.0

NPV RM

7

4.5

7.2

4.8

2.5

PI

BLUEBOX Limited’s cost of capital is 12.5%.

The company has a capital budget of R75m. Its target capital structure is a debt-to-equity ratio of 66.67%.

WHAT IS THE COMBINED NPV AND IN WHICH PROJECTS MUST BE INVESTED IN.

Solutions

Expert Solution

Answer: The problem given in question is related to capital rationing (restriction of capital to be invested).

NPV and Proftibility Index(PI) both are considered measure for investment decision making. In case of capital rationing,PI is a better measure to choose projects compared to NPV. Higher the PI , the more profitable the project is.

Proftibility Index= PV of cash flow / Intial cash outflow

In order to find PV of cash flow,

NPV= PV of cash flow- Initial cash outlay

PV of Cash flow= NPV+Initial Cash Outlay

Calculation and ranking of PI:

Particulars A B C D E
Cost as given [a] 40 35 50 30 10
NPV as given [b] 7 4.5 7.2 4.8 2.5
PV of Cash flow (a+b) is [c] 47 39.5 57.2 34.8 12.5
PI (c/a) 1.17 1.12 1.14 1.16 1.25
PI ranking 2 5 4 3 1

As per the PI ranking, Bluebox with the capital budget of 75m should invest in project E and A with the cost of 10m and 40m respectively to get the best profitibility with the amount invested.

NPV of Bluebox ltd (assuming initial cash outlay Zero)

= 54/(1+1.125) - 0 =48m

Combined NPV if invest in project E and A= 48+ 7 (NPV of A) +2.5 (NPV of E) = 57.5

Conclusion- The combined NPV of Bluebox ltd is is 57.5 and should invest in project E and A.


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