Dorothy Taylor is planning to buy $10-$year zero coupon bonds issued by the U$.$S$.$ Treasury. If these bonds have a face value of $$1,000$ and are currently selling at $$410\mathrm{.}59,$ what is the effective annual yield? Assume that interest compounds semiannually on similar coupon paying bonds. $($Round intermediate calculations to $5$ decimal places, eg$.1\mathrm{.}25145$ and final answer to $2$ decimal places, e$.$g$.15\mathrm{.}25\%.)$