Question

In: Finance

annual cash flow, -500,000 125,000 150,000 175,000 200,000 250,000 What is the IRR of the investment

annual cash flow,

-500,000
125,000
150,000
175,000
200,000
250,000

What is the IRR of the investment

Solutions

Expert Solution

Ans 20.53%

Year Project Cash Flows (i) DF@ 12% DF@ 12% (ii) PV of Project A ( (i) * (ii) ) DF@ 22% (iii) PV of Project A ( (i) * (iii) )
0 -500000 1 1                (5,00,000.00) 1     (5,00,000.00)
1 125000 1/((1+12%)^1) 0.893                  1,11,607.14 0.820      1,02,459.02
2 150000 1/((1+12%)^2) 0.797                  1,19,579.08 0.672      1,00,779.36
3 175000 1/((1+12%)^3) 0.712                  1,24,561.54 0.551          96,373.71
4 200000 1/((1+12%)^4) 0.636                  1,27,103.62 0.451          90,279.82
5 250000 1/((1+12%)^5) 0.567                  1,41,856.71 0.370          92,499.81
20.53% NPV                  1,24,708.10 NPV        (17,608.29)
IRR = Ra + NPVa / (NPVa - NPVb) * (Rb - Ra)
12% + 124708.1 / (124708.1 + 17608.29)*10%
20.53%

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