La diversified inc. recently paid its annual dividend of $3. dividends have consistently grown at a rate of 3.8%. the stock has a beta of 0.88. the current risk-free rate is 2.4% and the market return is 10.9%. assuming that capm holds, what is the intrinsic value of this stock?

$51.22

Explanation:

For computing the intrinsic value, first we have to determine the current year dividend and expected rate of return which is shown below:

The computation of the next year dividend is shown below:

= $3 + $3 × 3.8%

= $3 + 0.114

= $3.114

And, the expected rate of return would be

= Risk-free rate of return + Beta × (Market rate of return - Risk-free rate of return)

= 2.4% + 0.88 × (10.9% - 2.4%)

= 2.4% + 0.88 × 8.5%

= 2.4% + 7.48%

= 9.88%

Now the intrinsic value would be

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

= $3.114 ÷ (9.88% - 3.8%)

= $3.114 ÷ 6.08%

= $51.22