Question

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

Answer 1

Complete Question:

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