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$51.22 is intrinsic value of this stock.
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
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