The yield on a one$-$year Treasury security is $4\mathrm{.}2300\%,$ and the

two$-$year Treasury security has a $5\mathrm{.}0760\%$ 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.$)5\mathrm{.}0396\%6\mathrm{.}7589\%7\mathrm{.}5297\%5\mathrm{.}9289\%$Recall that on a one$-$year Treasury security the yield is $4\mathrm{.}2300\%$

and $5\mathrm{.}0760\%$ 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 $0\mathrm{.}25\%.$ What is the market$$s estimate of the

one$-$year Treasury rate one year from now? $($Note: Do not round your

intermediate calculations.$)5\mathrm{.}4254\%6\mathrm{.}185\%6\mathrm{.}8903\%4\mathrm{.}6116\%$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.$)7\mathrm{.}10\%6\mathrm{.}45\%6\mathrm{.}69\%6\mathrm{.}61\%$