A firm is considering two mutually exclusive projects, X and Y, with the following cash flows:
0 1 2 3 4
Project X -$1,000 $100 $280 $430 $750
Project Y -$1,000 $1,000 $100 $55 $45
The projects are equally risky, and their WACC is 11%. What is the MIRR of the project that maximizes shareholder value? Round your answer to two decimal places. Do not round your intermediate calculations.
X:
Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)
=100/1.11+280/1.11^2+430/1.11^3+750/1.11^4
=1125.80
NPV=Present value of inflows-Present value of outflows
=1125.80-1000
=$125.80(Approx)
Y:
Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)
=1000/1.11+100/1.11^2+55/1.11^3+45/1.11^4
=1051.92
NPV=Present value of inflows-Present value of outflows
=1051.92-1000
=$51.92(Approx)
Hence X is better having higher NPV.
For X:
We use the formula:
A=P(1+r/100)^n
where
A=future value
P=present value
r=rate of interest
n=time period.
Future value of inflows=100*(1.11)^3+280*(1.11)^2+430*(1.11)+750
=1709.0511
MIRR=[Future value of inflows/Present value of outflows]^(1/time period)-1
=[1709.0511/1000]^(1/4)-1
=14.34%(Approx)
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