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3 years ago

If the discount rate is 21% and the steady growth rate after 3 years is 2%, what should the stock price be today

Business

1 answer:

jonny [76]3 years ago

6 0

<u>Complete Question:</u>

Tattletale News Corp. has been growing at a rate of 20% per year, and you expect this growth rate in earnings and dividends to continue for another 3 years.

a. If the last dividend paid was $10, what will the next dividend be? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Dividend $

b. If the discount rate is 21% and the steady growth rate after 3 years is 2%, what should the stock price be today? (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Stock price $

Answer:

Requirement A. $12 per share

Requirement B. $44.14 per share

Explanation:

Requirement A.

The next dividend can be calculated using the following equation:

Next Dividend = D0 * (1 + g)

Here

D0 is the current dividend which is $10 and g is the Growth Rate which is 20% for the first three years

By putting values, we have:

Next Dividend = $10 * (1 + 20%)

= $12 per share

Requirement B.

Year Dividend Growth Rate New Dividend

1 10 20% 12

2 12 20% 14.40

3 14.4 20% 17.28

4 17.28 2% 17.63

Stock Price = $17.63 * (1 + 2%) / (21% - 2%) = $94.62

The above stock price calculated is the value of stock at the end of year 4. To discount it back to year zero, we will discount it by 21%.

Stock price at year0 = $94.62 / (1 + 21%)^4 = $44.14 per share

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