A $4\%$ coupon bond with $6$ months remaining until maturity is currently trading at $$1,005\mathrm{.}31.$ Assume semi$-$annual coupon payments. The bond's YTM is $\%.$

Margin of error for correct responses: $+/-\mathrm{.}03(\%).$

Rounding and Formatting instructions:

Do not enter dollar signs, percent signs, commas, X$,$ ovany words in your response. Do not round any intermediate work, but round your response to $2$ decimal places $($example: if your answer is $12\mathrm{.}3456,12\mathrm{.}3456\%,$ or $$12\mathrm{.}3456,$ you should enter $12\mathrm{.}35).$