Suppose Beaminer LLC$.$has a zero coupon bond with $15$years left to maturity and total face value of $$48,000.$Phillian PC has computed a semiannual compounded yield$-$to$-$maturity for the bond of $22\%.$Find the corresponding continuously compounded yield$-$to$-$maturity.

Answer: Enter your answer as a percent rounded to $4$decimal places. For example, a decimal answer of $0\mathrm{.}123456789$should be entered as: $12\mathrm{.}3457$