Suppose Poogle, Inc. wishes to issue a bond with a maturity of $13$ years, a face value of $$100,000$ and an annual coupon rate of $7\mathrm{.}5\%$ to raise $$91,936.$ What is the yield to maturity $($YTM$)$ on this bond? Note that the annual coupon rate is the annual coupon as a percentage of face value, but the coupon is paid every six months, and the YTM$,$ like all interest rates, is reported on an annualized basis. $($Allow two decimals in the percentage but do not enter the $\%$ sign.$)$