Solution to QUESTION-1
(a)-Horizon or Continuing Value
Free cash flow in year 3 (FCF3) = $48 Million
Growth Rate (g) = 7% per year
Weighted Average Cost of capital (WACC) = 10%
Therefore, the Horizon Value = FCF3(1 + g) / (WACC – g)
= $48 Million(1 + 0.07) / (0.10 – 0.07)
= $51.36 Million / 0.03
= $1,712.00 Million
(b)-Firm’s Value Today
Firm’s Value Today is the Present Value of the free cash flows plus the present value of the Horizon Value discounted at WACC
|
Year |
Cash flow ($ in Million) |
Present Value factor at 10% |
Present Value of cash flows ($ in Million) |
|
1 |
-10.00 |
0.90909 |
-9.09 |
|
2 |
22.00 |
0.82645 |
18.18 |
|
3 |
48.00 |
0.75131 |
36.06 |
|
3 |
1,712.00 |
0.75131 |
1,286.25 |
|
TOTAL |
1,331.40 |
||
The firm's value today will be $1,331.40 Million
(c)-Current Price per share
Current Price per share = [Firms Value – Debt Outstanding] / Number of stocks outstanding
= [$1,331.40 Million - $75 Million] / 6 Million shares
= $1,256.40 Million / 6 Million shares
= $209.40 per share
NOTE
The Formula for calculating the Present Value Factor is [1/(1 + r)n], Where “r” is the Discount/Interest Rate and “n” is the number of years.
Solution to QUESTION-2
Value of Maxwell Mining’s Stock
As per Constant Growth Dividend Valuation Model, the Price of the stock is calculated as follows
The Price of the stock today = Last Year Dividend per share(1 + Growth Rate) / (Cost of Equity – Growth Rate)
= D0(1 + g) / (Ke – g)
= $6.00(1 + 0.10) / (0.15 – 0.10)
= $6.60 / 0.05
= $132.00 per share
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