Carissa wants to purchase her first home by the time she is $26$ years old. If she is currently $15$ years old, how much does she need to invest into an account earning $6\mathrm{.}7\%$ annual interest compounded semiannualy to have a $$7,000\mathrm{.}00$ downpayment when she is $26$ years old? Round your final answer to two decimal places.