Stock $x$ has a required return of $12\%$ and a dividend yield of $5\%,$ and its dividend is expected to grow at a constant rate forever. Stock $Y$ has a required return of $10\%,$ a dividend yield of $3\%,$ and its dividend is expected to grow at a constant rate forever. Both stocks currently sell for $$25$ per share. Which of the following statements is correct?

a$.$ Stock $Y$ pays a higher dividend per share than Stock $x.$

b$.$ Stock $x$ pays a higher dividend per share than Stock Y$.$

c$.$ Stock $Y$ has a lower expected growth rate than Stock $x.$

d$.$ Stock $Y$ has a higher expected capital gains yield than Stock X$.$