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Synovec Co. is growing quickly. Dividends are expected to grow at a rate of 20 percent for the next three years, with the growth rate falling off to a constant 8 percent thereafter. If the required return is 11 percent, and the company just paid a dividend of $1.45, what is the current share price? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

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Karabo99

Answer:

The  current share price is $71.05

Explanation:

P3 = D3(1 + g)/(R – g)

    = D0[(1 + g1)^3](1 + g2)/(R – g)

    = [$1.45*(1.20)^3(1.08)]/(0.11 – 0.08)  

    = $90.20

The price of the stock today is the PV of the first three dividends, plus the PV of the Year 3 stock price given by:  

P0 = $1.45(1.20)/1.11 + $1.45[(1.20)^2]/1.112 + $1.45[(1.20)^3]/1.113 + $90.20/1.113

    = 1.568 + 1.695 + 1.832 + 65.958

    = $71.05

Therefore, The  current share price is $71.05