Question: 1. The yield on a one-year Treasury security is 4.2300%, and the two-year Treasury security has a 5.7100% 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?

2. Recall that on a one-year Treasury security the yield is 4.2300% and 5.7100% 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 0.3000%. What is the market's estimate of the one-year Treasury rate one year from now?

3. Suppose the yield on a two-year Treasury security is 5.83%, and the yield on a five-year Treasury security is 6.20%. Assuming that the pure expectations theory is correct, what is the market's estimate of the three-year Treasury rate two years from now?