A $$1,000$ face value government bond has $5$ years to maturity. The bond makes annual coupon payments of $5\mathrm{.}3\%.$ This investment$$s expected return $($discount rate$)$ is $3\mathrm{.}3\%.$

$1.$ Assume the investor buys the bond, earning the expected return of $3\mathrm{.}3\%,$ and holds the bond for one year. At the end of that one year, the bond$$s expected return is still $3\mathrm{.}3\%.$ At that time, the investor sells the bond. What return did the bondholder earn over the one$-$year holding period?

$2.$ Suppose the bond$$s expected return changed to $2\mathrm{.}3\%$ at the end of the one$-$year holding period. Again, assume the investor sold the bond. What holding$-$period return did the bondholder earn in this case?