If a bond's yield to maturity does not change, the return on the bond each year will be equal to the yield to maturity. Confirm this for both a premium and a discount bond using a $4-$year $3\mathrm{.}1$ percent coupon bond with annual coupon payments and a face value of $$1,000.$

Assume the yield to maturity is $2\mathrm{.}1$ percent.

Assume the yield to maturity is $4\mathrm{.}1$ percent.