The CEO of Harding Media Inc. as asked you to help estimate its cost of common equity. You have obtained the following data: D0 = $0.85; P0 = $22.00; and gL = 6.00% (constant). The CEO thinks, however, that the stock price is temporarily depressed, and that it will soon rise to $40.00. Based on the dividend growth model, by how much would the cost of common from reinvested earnings change if the stock price changes as the CEO expects?a. −1.49%b. −1.66%c. −1.84%d. −2.03%e. −2.23%

Respuesta :

Answer:

Option (C) is correct.

Explanation:

Given that,

D0 = $0.85

P0 = $22.00

gL = 6.00% (constant)

Cost of common equity at P0 = $22.00:

[tex]=\frac{D0(1+gL)}{P0}+gL[/tex]

[tex]=\frac{0.85(1.06)}{22}+0.06[/tex]

[tex]=\frac{0.901}{22}+0.06[/tex]

     = 10.09%

Cost of common equity at P0 = $40.00:

[tex]=\frac{D0(1+gL)}{P0}+gL[/tex]

[tex]=\frac{0.85(1.06)}{40}+0.06[/tex]

[tex]=\frac{0.901}{40}+0.06[/tex]

     = 8.25%

Hence, it is clear from the above calculation that if the price of stock increases then as a result cost of equity decreases.

Here, [10.09% - 8.25] = 1.84%, cost of equity decreases by 1.84%.

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