A $5-$year $14\%$ coupon bond currently sells for $$114\mathrm{.}4622.$ A $5-$year $7\%$ coupon bond currently sells for $$80\mathrm{.}0755.$ What is the $5-$year spot rate? $($Hint: Diagram out the cash flows of the bonds and go long one $14\%$ bond and short two $7\%$ bonds.$)$