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JulijaS [17]
4 years ago
10

Gentleman Gym just paid its annual dividend of $4 per share, and it is widely expected that the dividend will increase by 5% per

year indefinitely.
Requried:
a. What price should the stock sell at if the discount rate is 15% (Do not round intermediate calculations. Round your answer to 2 decimal places.)
b. What price should the stock sell at if the discount rate is 12%. (Do not round intermediate calculations. Round your answer to 2 decimal places.)
Business
1 answer:
Sergio [31]4 years ago
5 0

Answer:

a) Price of stock = $42

b) Price of stock = $60

Explanation:

<em>The price of a share can be calculated using the dividend valuation model  </em>

<em>According to this model the value of share is equal to the sum of the present values of its future cash dividends discounted at the required rate of return. </em>

<em>If dividend is expected to grow at a given rate , the value of a share is calculated using the formula below: </em>

Price=Do (1+g)/(k-g)

Where Do- Dividend now, g- growth rate, k- required rate of return(cost of equity)

<em>a) Where discount rate is 15%</em>

Price of stock = 4× (1.05)/(0.15-0.05) = 42

Price of stock = $42

<em>b) Where discount rate is 12%</em>

Price of stock =4× (1.05)/(0.12-0.05)= 60

Price of stock = $60

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