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Stock Valuation

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292 PART 2 Important Financial Concepts<br />

TABLE 7.5 Summary of Key <strong>Valuation</strong> Definitions and<br />

Formulas for Common <strong>Stock</strong><br />

Definitions of variables<br />

Dtper-share dividend expected at the end of year t<br />

FCFtfree cash flow expected at the end of year t<br />

gconstant rate of growth in dividends<br />

kaweighted average cost of capital<br />

ksrequired return on common stock<br />

P0value of common stock<br />

VCvalue of the entire company<br />

VDmarket value of all the firm’s debt<br />

VPmarket value of preferred stock<br />

VSvalue of common stock<br />

<strong>Valuation</strong> formulas<br />

Basic stock value:<br />

Common stock value:<br />

Zero-growth:<br />

P0 . . . D<br />

∞<br />

[Eq. 7.1]<br />

(1 ks) ∞<br />

D2<br />

<br />

(1 ks) 2<br />

D1<br />

<br />

(1 ks) 1<br />

P0 (also used to value preferred stock) [Eq. 7.2]<br />

Constant-growth:<br />

P0 [Eq. 7.4]<br />

FCF value of entire company:<br />

VC . . . FCF<br />

∞<br />

[Eq. 7.5]<br />

(1 ka)<br />

FCF common stock value:<br />

VSV CV DV P<br />

[Eq. 7.6]<br />

∞<br />

FCF2<br />

<br />

(1 ka) 2<br />

FCF1<br />

<br />

(1 ka) 1<br />

D1<br />

<br />

ks<br />

D1 <br />

ksg<br />

average cost of capital. The common stock value is<br />

found by subtracting the market values of the firm’s<br />

debt and preferred stock from the value of the entire<br />

company. The two equations involved in this model<br />

are summarized in Table 7.5.<br />

Book value per share is the amount per share of<br />

common stock that would be received if all of the<br />

firm’s assets were sold for their book (accounting)<br />

value and the proceeds remaining after paying all<br />

liabilities (including preferred stock) were divided<br />

among the common stockholders. Liquidation value<br />

per share is the actual amount per share of common<br />

stock that would be received if all of the firm’s<br />

assets were sold for their market value, liabilities<br />

(including preferred stock) were paid, and the<br />

remaining money were divided among the common

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