Assume you purchase $($at par$)$ one $14-$year bond with a $6\mathrm{.}20$ percent coupon and a $$1,000$ face value. Suppose you are only able to reinvest the coupons at a rate of $4\mathrm{.}20$ percent. If you sell the bond after $9$ years when the yield to maturity is $7\mathrm{.}20$ percent, what is your realized yield? $($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

$\backslash$table$[[$FV$,,,],[$Selling price,$$,959\mathrm{.}22,],[$Realized yield,,$5\mathrm{.}51,\%$