Assume that the Pure Expectation Theory determines interest rates in the markets. Today's market rates for different maturities are as follows:

1 year = 3.8%

2 years = 4.3%

3 years = 5.5%

4 years = 6.8%

5 years = 7.5%

What is the implied 2 year interest rate for investing in 3 years? Enter your answer as a percentage, without the percentage sign ('%'), and rounded to 1 decimal. For example. if your answer is 7.2134%, just enter 7.2

The correct answer is 10.6 -please show me how to do this step by step (formulas on excel are helpful as well)- thank you!