Project A costs 1000 and its cash flows are the same in Year

Project A costs $1,000, and its cash flows are the same in Years 1 through 10. Its IRR is 18%, and its WACC is 8%. What is the project\'s MIRR? Do not round off intermediate calculation. Round your answer to two decimal places.

Solution

Project\'s MIRR is 18.00%

Working:

Step-1:Calculation of Annual cash inflows
working:
IRR is the rate at which present value of cash inflows is equal to cost.
In formula form,
Cost = Annual cash inflows x Present Value of annuity of 1
or, Annual cash inflows = Cost / Present Value of annuity of 1
or, Annual cash inflows = $       1,000 /      4.4941
or, Annual cash inflows = $     222.51
Working:
Present Value of annuity of 1 = (1-(1+i)^-n)/i Where,
= (1-(1+0.18)^-10)/0.18 i 18%
=         4.4941 n 10
Step-2:Calculation of Project\'s MIRR
Project\'s MIRR = ((Future Value of annual cash inflows /Present Value of Cash outflows)^(1/Years))-1
= ((5233.84/1000)^(1/10))-1
= 18.00%
Future Value of cash inflows = Annual Cash inflows x Future Value of annuity of 1
= $     222.51 x    23.5213
= $ 5,233.84
Working:
Future Value of annuity of 1 = (((1+i)^n)-1)/i Where,
= (((1+0.18)^10)-1)/0.18 i 18%
=       23.5213 n 10
Project A costs $1,000, and its cash flows are the same in Years 1 through 10. Its IRR is 18%, and its WACC is 8%. What is the project\'s MIRR? Do not round off
Project A costs $1,000, and its cash flows are the same in Years 1 through 10. Its IRR is 18%, and its WACC is 8%. What is the project\'s MIRR? Do not round off

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