An analyst is trying to estimate the intrinsic value of XYV Inc. The analyst has estimated the company’s free cash flows for the following years:
Year Free Cash Flow
1 $3,000
2 $4,000
3 $5,500
4 $8,500
The analyst estimates that after four years (t=4) the company’s free cash flow will grow at a constant rate of 3 per cent per year. The estimated weighted average cost of capital is 8 percent. The company’s debt has a total market value of $75,000 and there are 2,000 outstanding shares of common stock. What is the intrinsic value per share of the company’s stock?
As per Discounted Cash Flow Valuation,
Firm Value = PV(FCF) + PV(Terminal Value)
FCF1 = $3,000
FCF2 = $4,000
FCF3 = $5,500
FCF4 = $8,500
Terminal Value = FCFi+1(1 + g)/(WACC - g)
g = 3%
WACC = 8%
Firm Value = 3000/(1.08) + 4000/(1.08)2 + 5500/(1.08)3 + 8500/(1.08)4 + 8500(1 + 0.03)/(0.08 - 0.03)(1.08)4
Firm Value = 2777.78 + 3429.36 + 4366.08 + 6247.75 + 128703.73
Firm Value = $145,524.70
Equity Value = Firm Value - Market Value of Debt
Equity Value = 145,524.70 - 75,000
Equity Value = $70,524.70
Number of Shares Outstanding = 2,000
Intrinsic Value per Share = Equity Value/Number of Shares outstanding
Intrinsic Value per Share = 70524.70/2000
Intrinsic Value per Share = $35.26
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