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3. Phoenix produces dividends in four consecutive years of 0.32, 0.62, 0.82, and 0.92 respectively. The...

3. Phoenix produces dividends in four consecutive years of 0.32, 0.62, 0.82, and 0.92 respectively. The dividend in year five is estimated to be 1.05 and should grow in perpetuity at 3% thereafter. Given a discount rate of 10%, what is the price of the stock today?

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Answer #1

Value after year 5=(D5*Growth rate)/(Discount rate-Growth rate)

=(1.05*1.03)/(0.1-0.03)=$15.45

Hence current price of the stock=Future dividends*Present value of discounting factor(10%,time period)

=0.32/1.1+0.62/1.1^2+0.82/1.1^3+0.92/1.1^4+1.05/1.1^5+15.45/1.1^5

which is equal to

$12.29(Approx)

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