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The Vogt corporation paid a dividend of $4.20 on its stock in the year just ended. If the dividends are projected to grow at a rate of 6.4% indefinitely, and the stock is presently selling for $68 a share, what is the estimated cost of equity for Vogt?

Respuesta :

Answer:

cost of equity = 13%

Explanation:

With the info given, we will use cost of equity formula from Dividend Growth Model. THis is given by:

[tex]k_e=\frac{D_1}{P_0}+g[/tex]

Where D_1 is the next year dividend or D_1 = D_0(1+g)

P_0 is current stock price

g is the growth rate

Since D_0 (dividend this year) is 4.20 and g = 6.4%  or 0.064, we can calculate D_1:

[tex]D_1=D_0(1+g)=4.2(1+0.064)=4.47[/tex]

Current share price is 68, so we can now calculate cost of equity:

[tex]k_e=\frac{4.47}{68}+0.064=0.13[/tex]

Hence,

cost of equity = 13%

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