Compute the yield to maturity for a zero coupon bond with a maturity of $15$ years and a face value of $$1000.$ The bond is selling for $$401\mathrm{.}22.($Assume annual discounting.$)($Round to $100$th of a percent and enter as a percentage, e$.$g$.12\mathrm{.}34\%$ as $12\mathrm{.}34)$

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