Ecolap Inc. (ECL) recently paid a $0.32 dividend. The dividend is expected to grow at an 11.50 percent rate. The current stock price is $41.32. |
What is the return shareholders are expecting? (Do not round intermediate calculations. Round your final answer to 2 decimal places.) |
This question is based on the concept of Constant Growth Dividend Discount Model.
As per Constant Growth Dividend Discount Model the dividends will grow at a constant rate forever.
We will use the formula - Price of stock = D1 / (Re - g)
Where D1 is the dividend for year 1
Re is return to shareholders
g is growth
Note - In the question it states that "Ecolap Inc. (ECL) recently paid a $0.32 dividend" which means this is current dividend or D0.
Step 1 - Calculation of D1
D1 = D0 * (1 + g)
D1 = $0.32 * (1 + .1150)
D1 = $0.32 * 1.1150
D1 = $0.3568
Step 2 - Calculation of return to shareholders
Price of stock = D1 / (Re - g)
41.32 = 0.3568 / (Re - 0.1150)
41.32Re - 4.7518 = 0.3568
41.32Re = 0.3568 + 4.7518
41.32Re = 5.1086
Re = 5.1086 / 41.32
Re = .1236 or 12.36% (rounded to 2 decimal places)
Therefore the Return shareholders are expecting is 12.36%
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