Biarritz Corp. is growing quickly. Dividends are expected to grow at a rate of 31 percent for the next three years, with the growth rate falling off to a constant 76 percent thereafter.
If the required return is 12 percent and the company just paid a dividend of $1.75, what is the current share price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Share price = _______
Answer:
D1=(1.75*1.31)=2.2925 |
D2=(2.2925*1.31)=3.003175 |
D3=(3.003175*1.31)=3.93415925 |
Value after year 3=(D3*Growth rate)/(Required rate-Growth rate) |
=(3.93425925*1.076)/(0.12-0.076) |
=96.2081 |
Hence current price=Future dividend and value*Present value of discounting factor(rate%,time period) |
=2.2925/1.12+3.003175/1.12^2+3.93415925/1.12^3+96.2081/1.12^3 |
=$75.72027(Approx). |
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