You are deciding between two mutually exclusive investment o
You are deciding between two mutually exclusive investment opportunities. Both require the same initial investment of
$ 10
million. Investment A will generate
$ 2.3
million per year? (starting at the end of the first? year) in perpetuity. Investment B will generate
$ 1.9
million at the end of the first? year, and its revenues will grow at
2.1 %
per year for every year after that. Use the incremental IRR rule to correctly choose between investments A and B when the cost of capital is
7.5 %
The incremental IRR is
nothing?%.
Solution
IRR is the rate at which NPV is Zero = 0
Investment A: NPV = (Inflows/ IRR) - Outflows
0= ($ 2.3 million / IRR) - $ 10 million
10=2.3/IRR
IRR= 0.23 or 23%
Investment B : NPV = (Inflows/ IRR - g) - Outflows
0 = ($1.9 million / IRR- 0.021) - $10 million
10= (1.9 / IRR- 0.021)
10IRR - 0.21 = 1.9
10 IRR = 2.11
IRR = 0.211 or 21.10%
Conclusion: Investment A has higher IRR of 23% So we will pick Investment A based on IRR
