Please include formulas and calculations.

Let: The 1-year interest rate in 2020 = 0.08 The 1-year interest rate expected to prevail in 2021 = 0.06 The 1-year interest rate expected to prevail in 2022 = 0.04 The 1-year interest rate expected to prevail in 2023 = 0.02 The bond market participants are risk averse. They prefer short- term bonds over long-term bonds. They require the following risk premia to hold long-term bonds: Risk premium to hold a 1-year bond = 0.000 Risk premium to hold a 2-year bond = 0.015 Risk premium to hold a 3-year bond = 0.030 Risk premium to hold a 4-year bond = 0.045 According to the expectations theory of the term structure, a. The two-year interest rate in 2020 = b. The three-year interest rate in 2020 = c. The four-year interest rate in 2020 = According to the liquidity preference theory of the term structure, d. The two-year interest rate in 2020 = e. The three-year interest rate in 2020 = f. The four-year interest rate in 2020 =