A company's stock is currently selling for 28.50. Its next dividend, payable one year from now, is expected to be 0.50 per share. Analysts forecast a long-run dividend growth rate of 7.5% for the company. Tomorrow, the long-run dividend growth rate estimate changes to 7%. Calculate the new stock price.

Answer: $22.22

Explanation:

We can use the dividend discount model to solve for this.

The formula is,

P = D1 / r - g

Where,

D1 = the next dividend

r = the expected return

g = the growth rate.

We do not have the expected return but we can calculate for it using the old stock price and growth rate. Making it x we have,

28.5 = 0.5 / x - 0.075

28.5 (x - 0.075) = 0.5

x = 0.5 / 28.5 + 0.075

x = 0.09254385964

x = 9.25 %

Now that we have the expected return we can calculate the new stock price with the new growth rate,

P = 0.5 / 9.25% - 7%

P = 22.2222222222

P = $22.22

The new stock price is $22.22