The Nearside Co. just paid a dividend of $1.20 per share on its stock. The dividends are expected to grow at a constant rate of 4 percent per year, indefinitely. Investors require a return of 10 percent on the stock. What is the current price? What will the price be in 10 years?

$20.80 and $29.61

Explanation:

The computations are shown below:

Current price is

= Next year dividend ÷ (Required rate of return - growth rate)

where,

Next year dividend is

= $1.20 + $1.20 × 4%

= $1.20 + $0.048

= $1.248

So, the current price is

= $1.248 ÷ (10% - 4%)

= $20.80

Now the price in 10 years is

= Next year dividend ÷ (Required rate of return - growth rate)

where,

Next year dividend is

= $1.20 × 1.04^10

= $1.20 × 1.4802442849

= $1.7762931419

So, the price in 10 years is

= $1.7762931419  ÷ (10% - 4%)

= $29.61

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