Question

A company forecasts free cash flow in next year to be $20 million, $25 million in second year, and 30 million in third year. After the third year, free cash flow will grow at a constant rate of 5 percent per year. If the overall cost of capital (WACC) is 10 percent, what is the current value from operations, to the nearest million

Answer 1

$535 million

Step-by-step explanation:

Value of operations = present value of next 3 years FCF + present value of terminal value at end of 3 years

Terminal value at end of 3 years = Year 3 FCF * (1 + constant growth rate after 3 years) / (WACC - constant growth rate after 3 years)

Present value = future value / (1 + required return)number of years

The required return is the WACC

Value of operations = $535 million

Answer 2

Current value from operations is $534.71 million.

Step-by-step explanation:

The value from operations can be calculated by discounting back the free cash flow of the firm. The first three year's FCF will be discounted back using the WACC and when the growth rate o FCF becomes constant after Year 3, the terminal value will be calculated and discounted back too.

The current value from operations = FCF1 / (1+WACC) + FCF2 / (1+WACC)² + FCF3 / (1+WACC)³ + [FCF3 * (1+g) / WACC - g] / (1+WACC)³

Current value from operations = 20 / (1+0.1) + 25 / (1+0.1)² + 30 / (1+0.1)³ + [30 * (1+0.05) / (0.1 - 0.05)] / (1+0.1)³

Current value from operations = $534.71 million