Year
|
After tax cash flow
|
Cumulative cash flow
|
0
|
(140000)
|
(140000)
|
1
|
42000
|
(98000)
|
2
|
58000
|
(40000)
|
3
|
80000
|
40000
|
Payback period = 2+40000/80000= 2.5 years
For polishing machine:
Year
|
After
tax cash flow
|
Cumulative
cash flow
|
0
|
(75000)
|
(75000)
|
1
|
25000
|
(50000)
|
2
|
50000
|
0
|
3
|
40000
|
40000
|
Payback period = 1+50000/50000 = 1 year
1.
Calculate the Discounted payback period
(DPP) for each equipment.
Solution:
For
vacuum cleaner:
year
|
Present value factor
(10%)
|
Cash flow
|
Present value of cash
flow
|
Cumulative present
value of cash flow
|
0
|
1
|
(140000)
|
(140000)
|
(140000)
|
1
|
0.909
|
42000
|
38178
|
(101822)
|
2
|
0.826
|
58000
|
47908
|
(53914)
|
3
|
0.751
|
80000
|
60080
|
6166
|
Discounted payback period = 2+53914/60080 =
2+0.89 = 2.89 years or almost 3 years
For
polishing machine:
year
|
Present value factor
(10%)
|
Cash flow
|
Present value of cash
flow
|
Cumulative present
value of cash flow
|
0
|
1
|
(75000)
|
(75000)
|
(75000)
|
1
|
0.909
|
25000
|
22725
|
(52275)
|
2
|
0.826
|
50000
|
41300
|
(10975)
|
3
|
0.751
|
40000
|
30040
|
19065
|
Discounted payback period = 2+10975/30040 =2+
0.36 =2.36 years
2.
What is each equipment net present value
(NPV).
Solution:
For
vacuum cleaner:
Year
|
Cash
flow
|
Present
value factor (10%)
|
present
value of Cash flow
|
0
|
-140000
|
1
|
-140000
|
1
|
42000
|
0.909
|
38178
|
2
|
58000
|
0.826
|
47908
|
3
|
80000
|
0.751
|
60080
|
interest
rate
|
|
10%
|
|
NPV
|
|
($18,691.22)
|
|
For polisher machine:
Year
|
Cash
flow
|
Present
value factor (10%)
|
present
value of Cash flow
|
0
|
-75000
|
1
|
-75000
|
1
|
25000
|
0.909
|
22725
|
2
|
50000
|
0.826
|
41300
|
3
|
4000
|
0.751
|
30040
|
interest
rate
|
|
10%
|
|
NPV
|
|
$2,146.20
|
|
3.
What is each equipment’s internal
rate of return (IRR)?
Solution:
For vacuum cleaner:
Year
|
Cash
flow
|
Present
value factor (10%)
|
present
value of Cash flow
|
0
|
-140000
|
1
|
-140000
|
1
|
42000
|
0.909
|
38178
|
2
|
58000
|
0.826
|
47908
|
3
|
80000
|
0.751
|
60080
|
interest
rate
|
|
10%
|
|
NPV
|
|
($18,691.22)
|
|
IRR
|
2%
|
|
|
For polisher machines:
Year
|
Cash
flow
|
Present
value factor (10%)
|
present
value of Cash flow
|
0
|
-75000
|
1
|
-75000
|
1
|
25000
|
0.909
|
22725
|
2
|
50000
|
0.826
|
41300
|
3
|
40000
|
0.751
|
30040
|
interest
rate
|
|
10%
|
|
NPV
|
|
$2,146.20
|
|
IRR
|
12%
|
|
|
4.
Are these projects independent or
mutually exclusive?
Ans.
Mutually exclusive project means that company
has to select any one project for the investment according to different
criteria. This decision can be taken by the management. But company as enough
capital to invest in both projects so in this regard we consider that both
projects are independent and company is going to invest in both project at the
same time due to sufficient capital.
5.
Indicate the correct accept –reject
decision for each criterion. Show how you analyze through each criterion.
Ans.
for both project companies is using different criteria to determine which
project is more profitable and which is not. Here we are using four different
methods like normal payback period, discounted payback period, net present
value and internal rate of return. If the project acceptance –rejection depend
on these criteria then results will be given as under:
Project
|
Normal payback period
|
Discounted payback
period
|
Net present value
|
Internal rate of return
|
Vacuum cleaner
|
2.5 years
rejected
|
3 years
rejected
|
-18691
rejected
|
2%
rejected
|
Polisher machine
|
1 year
Accepted
|
2.3year
accepted
|
2146
accepted
|
12%
accepted
|
6.
Does any conflict arise between NPV
and IRR, if the cost of capital is 5%? If yes which criteria and which project
would you suggest?
Ans.
If the cost of capital
moves to 5% then the result of NPV and IRR are almost same for both the
projects. And no any conflict arises because the IRR still remain the same.
Normally if the selection of project happens then the NPV criteria are sounds
valid and also used in many places. So if the NPV of the project is positive
then the project will be accepted otherwise if company don’t want to accept the
other project who is having negative NPV then in that company no need to invest
their capital.