Interest rates on $4-$year Treasury securities are currently $5\mathrm{.}7\%,$ while $6-$year Treasury securities yield $7\mathrm{.}35\%.$ 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.

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