The yield on a one$-$year Treasury security is $5\mathrm{.}8400\%,$ and the two$-$year Treasury security has a $8\mathrm{.}7600\%$ yield. Assuming that the pure expectations theory is correct, what is the market's estimate of the one$-$year Treasury rate one year from now? $($Note: Do not round your intermediate calculations.$)$

$13\mathrm{.}4071\%$

$11\mathrm{.}7606\%$

$14\mathrm{.}936\%$

$9\mathrm{.}9965\%$

Recall that on a one$-$year Treasury security the yield is $5\mathrm{.}8400\%$ and $8\mathrm{.}7600\%$ on a two$-$year Treasury security. Suppose the one$-$year security does not have a maturity risk premium, but the two$-$year security does and it is $0\mathrm{.}2\%.$ What is the market's estimate of the one$-$year Treasury rate one year from now? $($Note: Do not round your intermediate calculations.$)$

$14\mathrm{.}4144\%$

$12\mathrm{.}9389\%$

$11\mathrm{.}3499\%$

$9\mathrm{.}6474\%$