Question

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What is the modified internal rate of return for a 3-year project with the following characteristics?...

What is the modified internal rate of return for a 3-year project with the following characteristics?

Cash flow at time year 0 = -$100,000

Cash flow at time year 1 = $50,000

Cash flow at time year 2 = $50,000

Cash flow at time year 3 = $50,000

Corporate cost of capital = 10%

21%

30%

18%

15%

Solutions

Expert Solution

18%

Working;

Modified Internal rate of return = ((Future Value of positive cash flows/Present Value of negative Cash flows)^(1/Life))-1
= ((165500/100000)^(1/3))-1
= 18%
Working:
Future Value of positive cash flows:
Year Cash flows Future Value of 1 Future Value of cash flows
a b c=1.10^(3-a) d=b*c
1 $       50,000      1.2100 $       60,500
2 $       50,000      1.1000 $       55,000
3 $       50,000      1.0000 $       50,000
Total $   1,65,500

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