A Treasury bond with the longest maturity $(30$ years$)$ has an ask price quoted at $101\mathrm{.}9375.$ The coupon rate is $4\mathrm{.}10$ percent, paid semiannually. What is the yield to maturity of this bond?

Note: Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places.

Yield to maturity $$