Assume we have a $12$ year $6\mathrm{.}12\%$ coupon bond selling for $$1,000$ and callable at par with semi$-$annual compounding. What would be the effective duration if the interest rates could change by $50$ basis points $($annually$)?$ Please enter your answer to the nearest hundredth $($in other words if you calculate a duration of $1\mathrm{.}23456$ years, you must enter at least $1\mathrm{.}23).$

$8\mathrm{.}19$ margin of error $\frac{+}{-}0\mathrm{.}05$