Question

River Enterprises has ​$502 million in debt and 22 million shares of equity outstanding. Its excess cash reserves are $ 15 million. They are expected to generate ​$195 million in free cash flows next year with a growth rate of 2​% per year in perpetuity. River​ Enterprises' cost of equity capital is 13​%. After analyzing the​ company, you believe that the growth rate should be 3​% instead of 2​%. How much higher​ (in dollars) would the price per share be if you are​ right? g

Answer 1

The stock price would be higher by $7.37

Step-by-step explanation:

Free cash flow to equity = 195 million with a growth rate of 2% in perpetuity

Value of equity = Free cash flow to equity ÷ (Ce -g) = 195 million ÷ (13% - 2%)

= 190 ÷ 0.11 = $1,772,727,272.73 = $1,773 million

If growth rate is 3%, value of equity = 195 ÷ (13%-3%) = 195 ÷ 0.1 = $1,950 million

a. Value of stock = (1,773 + 15) million ÷ 22 = $81.27

b. Value of stock with 3% = 1,950 ÷ 22 = $88.64

Thus stock price would be higher by = b-a = $7.37