Interest rates on $4-$year Treasury securities are currently $5\mathrm{.}2\%,$ while $6-$year Treasury securities yield $7\mathrm{.}65\%.$ If the pure expectations theory is correct, what does the market believe that $2-$year securities will be yielding $4$ years from now? Calculate the yield using a geometric average. Do not round intermediate calculations. Round your answer to two decimal places.