Today, interest rates on 1-year T-bonds yield 1.6%, interest rates on 2-year T-bonds yield 2.1%, and interest rates on 3-year T-bonds yield 3.7%.

1. If the pure expectations theory is correct, what is the yield on 2-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places.

2. If the pure expectations theory is correct, what is the yield on 1-year T-bonds two years from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places.