"expects to generate free cash flows of $200,000 per year for the next five years. Beyond that time, free cash flows are expected to grow at a constant rate of 5 percent per year forever. If the firm’s average cost of capital is 15 percent, the market values of the firm’s debt and preferred stock are $400,000 and $100,000, respectively. There are 125,000 shares of stock outstanding. What is the value of the firm’s stock"

The value of the firm's stock is $703,920

The price is $5.63 per share ($703,920/125,000 shares)

Explanation:

a) Data and Calculations:

Free cash flows = $200,000

Present value of the free cash flows = $200,000 x Annuity Factor, for 5 years at cost of capital of 15% x (1 + growth rate)

= $200,000 x 3.352 x 1.05

= $703,920

Therefore, common equity = $703,920

To calculate Company XYZ's free cash flows in their present value, they are discounted, using the present value table.  The resulting amount is equivalent to the value of the common stock.  The company's free cash flow is the amount that is left after settling operating expenses and capital expenditure.