One bond has a coupon rate of $5\mathrm{.}4\%,$ another a coupon rate of $8\mathrm{.}2\%.$ Both bonds pay interest annually, have $13-$year maturities, and

sell at a yield to maturity of $7\mathrm{.}5\%.$

a$.$ If their yields to maturity next year are still $7\mathrm{.}5\%,$ what is the rate of return on each bond?

Note: Do not round intermediate calculations. Enter your answers as a percent rounded to $1$ decimal place.

b$.$ Does the higher$-$coupon bond give a higher rate of return over this period?

Does the higher$-$coupon bond give a higher rate of return over this period?