Bare Corporation is expected to pay the following dividends over the next 3 years: $4.87, $10 and $3.60. Afterwards, the company pledges to maintain a constant 5 percent growth rate in dividends forever. If the required return on the stock is 12 percent, what is the current share price?

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Bare Corporation is expected to pay the following dividends over the next 3 years: $4.87, $10 and $3.60. Afterwards, the company pledges to maintain a constant 5 percent growth rate in dividends forever. If the required return on the stock is 12 percent, what is the current share price?
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Answer :the current share price = $ 53.3187

Working notes for the above answer:

We have provided with the information that

Bare Corporation is expected to pay the following dividends over the next 3 years: $4.87, $10 and $3.60.

Afterwards, the company pledges to maintain a constant 5 percent growth rate in dividends forever.

So g after 3 years will be 5%

If the required return on the stock is 12 percent,

The current share price will be calculated as follow

P3 = D4(1 + g) / (R – g)

= $3.6(1.05) / (.12 – .05)

= $54

P0 = $4.87 / 1.12 + $10.00 / (1.12)2 + $3.60 /( 1.12)3 + $54 / (1.12)3

Year 1 2 3 3 Total
4.87 10 3.6 54
1.12 1.2544 1.404928 1.404928
Total 4.348214 7.971939 2.562409 38.43613 53.3187

the current share price = $ 53.3187

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