T$-$Bond Yield $=$ r$*$t $+$ IPt $+$ MRPt

The yield on a one$-$year Treasury security is $5\mathrm{.}6100\%,$ and the two$-$year Treasury security has a $8\mathrm{.}4150\%$ 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.$)$

$9\mathrm{.}6003\%$

$11\mathrm{.}2945\%$

$12\mathrm{.}8757\%$

$14\mathrm{.}344\%$

Recall that on a one$-$year Treasury security the yield is $5\mathrm{.}6100\%$ and $8\mathrm{.}4150\%$ 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 $0\mathrm{.}5\%.$ What is the market$$s estimate of the one$-$year Treasury rate one year from now? $($Note: Do not round your intermediate calculations.$)$

$13\mathrm{.}0433\%$

$8\mathrm{.}7298\%$

$10\mathrm{.}2703\%$

$11\mathrm{.}7081\%$

Suppose the yield on a two$-$year Treasury security is $5\mathrm{.}83\%,$ and the yield on a five$-$year Treasury security is $6\mathrm{.}20\%.$ Assuming that the pure expectations theory is correct, what is the market$$s estimate of the three$-$year Treasury rate two years from now? $($Note: Do not round your intermediate calculations.$)$

$6\mathrm{.}53\%$

$6\mathrm{.}61\%$

$6\mathrm{.}45\%$

$5\mathrm{.}46\%$