student
23 Points
Joined June 2010
IRR:- It is the rate of return or discounting factor at which discounted cash in flow is equal to discounted cash out flow i.e NPV=0, PI=1.
EXAMPLE
Let cost of project is Rs 500000.
you are required to find IRR if cash in flow of different future years are as below :-
year
cash in flow
pv factor @ 24%
pv (Rs)
pv factor @ 23%
pv (Rs)
1
200000
0.8065
161300
0.813
162600
2
80000
0.6504
52032
0.6609
52872
3
300000
0.5245
157350
0.5374
161220
4
195000
0.4229
82465.5
0.4369
85195.5
5
75000
0.3411
25582.5
0.3552
26640
6
46000
0.2751
12654.6
0.2887
13280.2
TOTAL
491384.6
501807.7
Here we find that at 24%, discounted cash in flow is less than Rs 500000
And
At 23%, discounted cash in flow is more than Rs 500000
Therefore, the rate at which discounted cash in flow becomes Rs 500000 i.e equal to out flow of cash at zero time,
lies between
24% and 23%, which is called IRR.
Therefore,
IRR = 23% + (501807.7 - 500000)/(501807.7-491384.6)*(24%-23%) = 23.1734321
=24% - (500000 - 491384.6)/(501807.7-491384.6)*(24%-23%) = 23.1734321
Therefore, IRR= 23.1734%