Interest rates on $4-$year Treasury securities are currently $2\mathrm{.}84\%$ while $6-$year Treasury securities yield $5\mathrm{.}56\%.$ If the pure expectations theory is correct, what does the market believe that $2-$year Treasury securities will be yielding $4$ years from now. Calculate the yield using the arithmetic average. State your answer as a percentage to $2$ decimal places. Do not include the $\%$ symbol.