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Storico Co. just paid a dividend of $3.15 per share. The company will increase its dividend by 20 percent next year and then reduce its dividend growth rate by 5 percentage points per year until it reaches the industry average of 5 percent dividend growth, after which the company will keep a constant growth rate forever. If the required return on the company’s stock is 12 percent, what will a share of stock sell for today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answer :

Shahzaibfaraz

Answer:

The price of the stock today or the price at which the stock should sell today is $61.30

Explanation:

The price of the stock today can be calculated using the Dividend Discount Model approach which values a stock based on the present value of the expected future dividends from the stock. The price of this stock will be,

P0 = 3.15 * (1+0.2) / (1+0.12)  +  3.15  * (1+0.2) * (1+0.15)  /  (1+0.12)^2  +  

3.15 * (1+0.2) * (1+0.15) * (1+0.1) / (1+0.12)^3  +  

[(3.15 * (1+0.2) * (1+0.15) * (1+0.1) * (1+0.05) / (0.12 - 0.05))  / (1+0.12)^3]

P0 = $61.296 rounded off to $61.30

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