Question

Nighthawk theaters has 15,000 shares of stock outstanding and projected annual free cash flows of $48,200, $57,900, $71,300, and $72,500 for the next four years, respectively. after that, the cash flows are expected to increase at a constant annual rate of 1.6 percent. what is the current value per share of stock at a discount rate of 15.4 percent?

Answer 1

The current value per share of stock is $31.57.

What is the current value per share ?

The two-stage dividend model would be used to determine the current value per share of the stock. In the two-stage dividend growth model, the first stage is characterised by high growth rate. In the second stage, the high growth rate falls to a steady or normal growth rate

Total cash flows in the second stage of constant growth: (72,500 x 1.016) / (0.154 - 0.016) = 533,768.12

Now determine the present value of the cash flows:

($48,200 / 1.154) +  ($57,900 + 1/154²) + $71,300/ 1.154³ + ($72,500 / 1.154^4) + (533,768.12 / 1.154^4) = $473,495.26

Current value per share = $473,495.26  / 15,000 = $31.57

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