Answer :
True required initial investment = $26,954,178
Explanation :
As per the data given in the question, we need to do following calculations
Weighted average flotation cost = ( % flotation cost of debt × weight of debt) + (% flotation cost of preferred equity × weight of preferred equity) + (% flotation cost of common equity × weight of common equity)
= (3% × 35%) + (7% × 10%) + (10% × 55%)
= 0.0725
=7.25%
It means out of total capital which is raised 7.25%, would be the flotation cost.
Let total capital raised be X
So X × (1 - 7.25%) = $25 million
X = $25 million ÷ (1- 7.25%)
X = $26,954,178