Problem:

You have a one year note that yields 0.11%, a two year note that yields 0.18%. You also have a three year note that yields 0.22%, a five year note that yields 0.40%, a seven year note that yields 88%, and the ten-year note that yields 1.15%.

Requirement:

Question: Using the Pure Expectations Theory with no maturity risk, calculate the expected yield on a two year note for eight years from now.

Note: Please show guided help with steps and answer.