Answer the Question below please showing the calculations and writing the solutions

1. The following rates are actual yields on US yield curve observed on the dates given:

	1 Mo	2 Mo	3 Mo	6 Mo	1 Yr	2 Yr	3 Yr	5 Yr	7 Yr	10 Yr	20 Yr	30 Yr
02/19/2021	0.03	0.03	0.04	0.06	0.07	0.11	0.22	0.59	0.98	1.34	1.98	2.14
08/08/2019	2.08	1.97	1.91	1.86	1.72	1.48	1.44	1.42	1.47	1.52	1.8	1.98

1. Given information about yields on 2-19-2021, calculate the expected 4-year yield that the market is expecting between 19 February 2024 and 19 February 2028. Also calculate the 20-year yield that is expected to prevail between 19 February 2031 and 19 February 2041 under the expectations theory of the term structure of interest rates.