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Q1      Mr Ali has an option of investing in one project from the proposed three different projects

Finance Sep 14, 2020

Q1      Mr Ali has an option of investing in one project from the proposed three different projects. The initial investment and cash flows are given below

years Cf - project 1 Cf - project 2 Cf - project 3

0 (10,000) (28,000) (22,000)

1 1000 3000 4000

2 880 7000 1000

3 6000 8000 1000

4 4000 12000 9000

5 2000 7500 11500

6 3650 6400 8900

 

a.      Calculate payback for all three projects                                                  

b.     Calculate discounted payback for all three projects                                

c.      Calculate NPV for all three projects                                                       

d.     Calculate profitability index for all three projects                                  

e.      Calculate IRR for all three projects                                                       

f.      Write detailed comment on which project Mr Ali must invest on the basis of above calculated criteria's and why he must ignore the other projects.

Expert Solution

a). Payback period for project 1 = 3.53 years

For project 2 = 3.83 years

For project 3 = 4.61 years

 

b). Discounted payback period for project 1 = 5.25 years

For project 2 = 5.67 years

Discounted payback period for project 3 is greater than the 6 years because the initial investment will not recover in 6 years.

 

c). NPV for project 1 = $1,391.20

For project 2 = $1,077.53

For project 3 = -$165.51

 

d). Profitability index for project 1 = 1.14

For project 2 = 1.04

for project 3 = 0.99

 

e). IRR for project 1 = 16.06%

For project 2 = 13.21%

For project 3 = 11.79%

 

f). Mr. Ali should invest in project 1 because ;

The payback period for project 1 is lower than the project 2 & project 3.

The discounted payback period for project 1 is lower than the project 2 & project 3.

NPV for project 1 is greater than the project 2 & project 3.

Profitability index for project 1 is greater than the project 2 & project 3.

IRR for project 1 is greater than the project 2 & project 3.

So, the Mr. Ali must ignore the project 2 & project 3 and accept the project 1.

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