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Elena-2011 [213]
2 years ago
9

Patrick Company expects to generate freeminuscash of​ $120,000 per year forever. If the​ firm's required return is 12​ percent,

the market value of debt is​ $300,000, the market value of preferred stock is​ $70,000, and the company has​ 100,000 shares of stock outstanding. What is the value of​ Patrick's stock?
Business
1 answer:
photoshop1234 [79]2 years ago
4 0

Answer:

$6.3 per share

Explanation:

There are two method of Valuation of the firm

  • Weighted average cost of the capital (WACC)
  • Free cash flow to equity (FCFE)

We have to calculate the value of the firm using FCFE. Free cash flow to equity (FCFE) is the amount of cash flow generated by the business and potentially available for distribution among the stockholders.

Value of firm = Free cash flow / required rate of return = $120,000 / 12% = $1,000,000

Market value of Equity = Total value of firm - Market value of Debt - Market value of Preferred share

Market value of Equity = $1,000,000 - $300,000 - $70,000 = $630,000

Value of​ Patrick's stock = Market Value of equity / shares of stock outstanding = $630,000 / 100,000 = $6.3 per share

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The two stage growth model of DDM will be used to calculate the price of a stock whose dividends are expected to grow over time with two different growth rates. The DDM values a stock based on the present value of the expected future dividends from the stock.

The formula for price of the stock today under this model is,

P0 = D0 * (1+g1) / (1+r)  +  D0 * (1+g1)^2 / (1+r)^2  +  ...  +  D0 * (1+g1)^n / (1+r)^n  + [ (D0 * (1+g1)^n * (1+g2) / (r - g2)) / (1+r)^n ]

Where,

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P0 = $51.9956 rounded off to $52.00

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