You are given the following information about two $10$ year bonds. Both bonds have face amount $100$ and coupons payable semi$-$annually, with the next coupon due in $1/2-$year.

Bond $1$: Coupon rate $6\%$ per year, price $87\mathrm{.}79.$

Bond $2$: Coupon rate $12\%$ per year, price $134\mathrm{.}45.$

Find the annual effective yield rate for a $10-$year zero$-$coupon bond.

Round your answer to one decimal place.