Answer: Yes they are
Explanation:
Going by the formula of the dividend growth model, The price of a stock is;
= (Dividend * ( 1 + Growth rate))/ (Required return - Growth rate)
From the formula it can therefore be seen that the growth rate for both dividends and stock price are identical because the price increases according to how the growth in dividends increases.
With the denominator constant, the change will have to do with the numerator which is determined by the growth rate which is why the growth rate for both price and dividend are identical.