3. The following rates are actual yields in % on US yield curve observed on the dates given: Date 1 Mo 2 Mo 3 Mo 6 Mo 1 Yr 2 Yr 3 Yr 5 Yr 7 Yr 10 Yr 20 Yr 30 Yr 3/9/2019 2.06 2.01 1.98 1.88 1.72 1.47 1.38 1.35 1.42 1.47 1.77 1.95 16/2/2022 0.03 0.17 0.38 0.67 1.09 1.52 1.75 1.90 2.00 2.03 2.39 2.34 a) Plot the yield curves for 3 September 2019 and 16 February 2022. Interpret these yield curves on investor expectations with regards to the future state of the US economy. b) Given information about yields on 16/2/2022, i) calculate the expected 3-year yield that the market is expecting between 16 February 2022 and 16 February 2025. ii) calculate the 20-year yield that is expected to prevail between 16 February 2032 and 16 February 2052 under the expectations theory of the term structure of interest rates. 3. The following rates are actual yields in % on US yield curve observed on the dates given: Date 1 Mo 2 Mo 3 Mo 6 Mo 1 Yr 2 Yr 3 Yr 5 Yr 7 Yr 10 Yr 20 Yr 30 Yr 3/9/2019 2.06 2.01 1.98 1.88 1.72 1.47 1.38 1.35 1.42 1.47 1.77 1.95 16/2/2022 0.03 0.17 0.38 0.67 1.09 1.52 1.75 1.90 2.00 2.03 2.39 2.34 a) Plot the yield curves for 3 September 2019 and 16 February 2022. Interpret these yield curves on investor expectations with regards to the future state of the US economy. b) Given information about yields on 16/2/2022, i) calculate the expected 3-year yield that the market is expecting between 16 February 2022 and 16 February 2025. ii) calculate the 20-year yield that is expected to prevail between 16 February 2032 and 16 February 2052 under the expectations theory of the term structure of interest rates