Question

Two constant growth stocks are in equilibrium, have the same price, and have the same required rate of return. Which of the following statements is CORRECT?a. The two stocks must have the same dividend per share.b. If one stock has a higher dividend yield, it must also have a lower dividend growth rate.c. The two stocks must have the same dividend yield.d. The two stocks must have the same dividend growth rate.e. If one stock has a higher dividend yield, it must also have a higher dividend growth rate.

Answer 1

Answer:

B: If one stock has a higher dividend yield, it must also have a lower dividend growth rate

Explanation:

A constant growth stock is valued using the formula:

$P0 = \frac{D1}{ke-g}$

from this formula,  holding other things constant, a higher D1 value would decrease P0, whilst a lower g value would have an effect of lowering P0.

For the two stocks to be in equilibrium, since we are not specifically  told that the two stocks have the same growth rate [ the question simply says the growth rate is constant...meaning it is not expected to change], it thus follows that if one one stock has a higher dividend value ( which would  increase the price if all other variables are not changed), it must also have a lower dividend growth rate, which would have the opposing effect, thus keeping the two stocks in equilibrium.