Question

In: Finance

Project A costs $3,000, and its cash flows are the same in Years 1 through 10....

Project A costs $3,000, and its cash flows are the same in Years 1 through 10. Its IRR is 15%, and its WACC is 10%. What is the project's MIRR? Do not round intermediate calculations. Round your answer to two decimal places.

Solutions

Expert Solution

MIRR is 12.25%

Step-1:Calculation of annual cash flows for next 10 years
At IRR, present value of cash inflows is equal to Cost of project.
So, Annual cash inflow = Cost of Project / Present value of annuity of 1
= $   3,000.00 / 5.018769
= $      597.76
Working:
Present value of annuity of 1 = (1-(1+i)^-n)/i Where,
= (1-(1+0.15)^-10)/0.15 i = 15%
= 5.01876863 n = 10
Step-2:Calculation of MIRR
Year Cash flow
0 $ -3,000.00
1 $      597.76
2 $      597.76
3 $      597.76
4 $      597.76
5 $      597.76
6 $      597.76
7 $      597.76
8 $      597.76
9 $      597.76
10 $      597.76
Finance rate 10%
Reinvestment rate 10%
MIRR =mirr(C18:C28,finance rate, reinvestment rate)
= 12.25%

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