What is the annual yield to maturity, to the nearest $0\mathrm{.}01\%,$ of a $$1,000$ par bond with $4\mathrm{.}5$ years to maturity, $3\mathrm{.}5\%$ coupon rate, and semiannual payments if it sells for $$938\mathrm{.}50?$ Drop the $\%$ symbol.

Type your numeric answer and submit

$$