The market capitalization rate on the stock of Aberdeen Wholesale Company is 10%. Its expected ROE is 12%, and its expected EPS is $5. If the firm's payout ratio is 70%, what is the value of the stock assuming a constant growth of dividends? Round your answer to two decimal places.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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The market capitalization rate on the stock of Aberdeen Wholesale Company is 10%. Its expected ROE is 12%, and its expected EPS is $5. If the firm's payout ratio is 70%, what is the value of the stock assuming a constant growth of dividends? Round your answer to two decimal places.

Expert Solution
Step 1

In the given case, Expected ROE and firm's payout ratio is given . Retention ratio is calculated as 1- payout ratio .

Constant growth rate is calculated as ROE* Retention ratio .

Since , expected EPS is given , so expected dividend is calculated as the expected EPS * Payout ratio .

And, the market capitalization rate on the stock is already given . It is the cost of equity (Ke) .

Therefore,

We calculated the value of the stock using constant dividend growth model ,

Value of stock (P0) = Expected dividend / (market capitalization rate - constant growth rate)

 

Explanation:

Value of the stock is the current market price of a stock. It means if that stock is to be sold at today, then value of the stock is the current selling price .

 

 

 

 

 

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