The yield on a one$-$year Treasury security is $5\mathrm{.}6100\%,$ and the two$-$year Treasury security has a $7\mathrm{.}5735\%$ 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.$)$

$8\mathrm{.}1375\%$

$12\mathrm{.}1583\%$

$9\mathrm{.}5735\%$

$10\mathrm{.}9138\%$