Hughes Co. is growing quickly. Dividends are expected to grow at a rate of 22 percent for the next three years, with the growth rate falling off to a constant 5 percent thereafter. If the required return is 12 percent and the company just paid a $2.35 dividend, what is the current share price? (Do not round intermediate calculations and round your final answer to 2 decimal places. (e. g., 32.16))

$53.94

Explanation:

Current share price is the present value of the dividends for the next 3 years and the terminal value in year 3.

Terminal value = D₄ / ( required return - growth rate)

= (2.35 * 1.22³ * 1.05) / (12 % - 5%)

= $64

D₁ = 2.35 * 1.22 = $2.867

D₂ = 2.867 * 1.22 = $‭3.49774‬

D₃ = ‭3.49774‬ * 1.22 = $‭4.2672428‬

Share price = (2.867 / (1 + 12%)) + (‭3.49774‬ / 1.12²) + (‭4.2672428‬ / 1.12³) + (64/1.12³)

= $53.94

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