Answer:
IRR = 43.51%
Explanation:
<em>It is the discount rate that equates the present value of cash inflow to the present value of cash outflow from the same project.</em>
<em>The internal rate of return is the maximum cost of capital that can be used to appraise a project without cursing harm to the shareholders or investors.</em>
<em>The IRR produces a Net present value(NPV) of zero.</em>
The IRR can be determined using the formula below:
IRR = IRR = a% + (NPVa/NPVa + NPV b)× (b-a)%
a%- lower discount rate.
b% - Higer discount rate
NPVa- NPV using lower discount rate
NPVb- NPV using higher discount rate
We use 7.6% and 50% as trial discount rates as follows:
NPV at 7.6%
PV of inflow = (1- 1.076^(-3)/0.076 ) × 5.04
NPV = (1- 1.076^(-3) × 5.04 - 8.01 =5.0728 million
NPV at 50%
PV of inflow = (1- 1.50^(-3)/0.5) × 5.04
NPV =(1- 1.50^(-3)/0.5) × 5.04 - 8.01 = -0.91666
IRR = a% + (NPVa/NPVa + NPV b)× (b-a)%
= 7.6% + (5.0728/(5.0728 + 0.91666)) × (50-7.6)%
= 43.51%
IRR = 43.51%