Answer:
= $52.78 per share
Explanation:
The value of a business can be determined using the free cash flow model. According to this model, the value of a firm is is the present value of its free cash flow discounted at the weigthed average cost of capital (WACC.)
The value of equity is the value of firm less value of other instruments (e.g debt and preferred stocks)
Value of equity = Value of the entire firm - Value of debt
We can work out the the value per share using the steps below:
Step 1
Calculate the total value of the firm
Value of firm = 27.50/(0.1-0.07)
= $916.66 million
Step 2
Calculate the value of equity
Value of equity = Value of the entire firm - Value of debt
= $916.66 million - $125.0 million
=791.666 million
Step 3
Calculate the value per share
Value per share = Value of equity/ units of common stock
=$791.666 million/15 million units
= $52.78 per share