Assume you purchase $($at par$)$ one $15-$year bond with a $6\mathrm{.}75$ percent coupon and a $$1,000$ face value. Suppose you are only able to reinvest the coupons at a rate of $4\mathrm{.}75$ percent. If you sell the bond after $10$ years when the yield to maturity is $7\mathrm{.}75$ percent, what is your realized yield? $($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

$\backslash$table$[[$FV$,$$$,83017,],[$Selling price,$$,96793,],[$Realized yield,,$13\mathrm{.}04,\%$