A $5-$year government bond makes annual coupon payments of $5\mathrm{.}3\%$ and offers a yield of $3\mathrm{.}3\%$ annually compounded. Assume face

value is $$1,000.$

Note: Do not round intermediate calculations. Enter your answers as a percent rounded to $2$ decimal places.

a$.$ Suppose that one year later the bond still yields $3\mathrm{.}3\%.$ What return has the bondholder earned over the $12-$month period?

b$.$ Now suppose that the bond yields $2\mathrm{.}3\%$ at the end of the year. What return did the bondholder earn in this case?