Question

Pearl Corp. is expected to have an EBIT of $3,700,000 next year. Depreciation, the increase in net working capital, and capital spending are expected to be $160,000, $170,000, and $210,000, respectively. All are expected to grow at 18 percent per year for four years. The company currently has $19,000,000 in debt and 1,150,000 shares outstanding. After Year 5, the adjusted cash flow from assets is expected to grow at 2.5 percent indefinitely. The company's WACC is 9.4 percent and the tax rate is 24 percent.

What is the price per share of the company's stock? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answer: Share price .........

Answer 1

FCFF1 = [EBIT * (1 - t)] + Depreciation - Capex - Increase in NWC

= [$3,700,000 * (1 - 0.24)] + $160,000 - $210,000 - $170,000 = $2,592,000

Firm Value = [FCFF1 / (1 + WACC)] + [{FCFF1 * (1 + g1)} / (1 + WACC)²] + [{FCFF1 * (1 + g1)²} / (1 + WACC)³] + [{FCFF1 * (1 + g1)³} / (1 + WACC)⁴] + [{FCFF1 * (1 + g1)⁴} / (1 + WACC)⁵] + [{FCFF1 * (1 + g1)⁴ * (1 + gC)} / {WACC - gC) * (1 + WACC)⁵}]

= [$2,592,000 / (1 + 0.094)] + [{$2,592,000 * (1 + 0.18)} / (1 + 0.094)²] + [{$2,592,000 * (1 + 0.18)²} / (1 + 0.094)³] + [{$2,592,000 * (1 + 0.18)³} / (1 + 0.094)⁴] + [{$2,592,000 * (1 + 0.18)⁴} / (1 + 0.094)⁵] + [{$2,592,000 * (1 + 0.18)⁴ * (1 + 0.025)} / {(0.094 - 0.025) * (1 + 0.094)⁵}]

= $2,369,287.02 + $2,555,538.10 + $2,756,430.49 + $2,973,115.16 + $3,206,833.53 + $47,637,744.53

= $61,498,948.84

Equity Value = Firm Value - Debt Value = $61,498,948.84 - $19,000,000 = $42,498,948.84

Price per share = Equity Value / No. of shares outstanding = $42,498,948.84 / 1,150,000 = $36.96