Stock M has a required return of $12\mathrm{.}00\%,$ while Stock Z has a required return of $8\mathrm{.}00\%.$Which of the following statements is CORRECT?

a$.$ If Stock M and Stock Z have the same dividend yield, then Stock M must have a lower expected capital gains yield than Stock Z$.$

b$.$ If Stock M and Stock Z have the same current dividend and the same expected dividend growth rate, then Stock M must sell for a higher price.

c$.$ Stock M must have a higher dividend yield than Stock Z$.$

d$.$ The stocks must sell for the same price.

e$.$ If the market is in equilibrium, and if Stock M has the lower expected dividend yield, then it must have the higher expected growth rate.