Suppose that today the one-year Treasury note yields 0.12% (0.0012 in decimal form), the two-year note yields 0.40% (0.0040), the three-year note yields 0.78% (0.0078), the five-year note yields 1.60% (0.0160), the seven-year note yields 2.22% (0.0222) and the ten-year note yields 2.81% (0.0281). Under the pure expectations theory with no maturity risk:

a) What is the expected yield on a one-year note delivered one year from now?

b) What is the expected yield on a one-year note delivered two years from now?

c) What is the expected yield on a three-year note delivered two years from now?

d) What is the expected yield on a two-year note delivered five years from now?

e) What is the expected yield on a five-year note delivered five years from now?

f) What is the expected yield on a seven-year note delivered three years from now?