A $$1,000\mathrm{.}00$ par value bond with a coupon interest rate of $6\mathrm{.}0$ percent per year, paid semiannually, matures in $10$ years. The YTM on bonds of similar risk is $5\mathrm{.}0$ percent. Assume that you purchase the bond today at a price consistent with the $5\mathrm{.}0$ percent YTM$,$ but that you are unable to hold the bond until it matures. Instead, you sell the bond after two years at a time when the YTM has risen to $9\mathrm{.}0$ percent.

A$.)$ Calculate your annual rate of return on this two$-$year investment. This is referred to as the $$Holding Period Yield$($HPY$).$ In this case the holding period is two years. Draw the appropriate cash flow diagrams to aid you in solving this problem.