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$$ One$-$year Treasury bills currently earn $2\mathrm{.}70$ percent. You expect that one year from now, $1-$year Treasury bill rates will increase to $2\mathrm{.}90$ percent and that two years from now, $1-$year Treasury bill rates will increase to $3\mathrm{.}40$ percent. The liquidity premium on $2-$year securities is $0\mathrm{.}15$ percent and on $3-$year securities is $0\mathrm{.}25$ percent. If the liquidity premium theory is correct, what should the current rate be on $3$ year Treasury securities$?($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

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