One-year Treasury securities yield 4.15%. The market anticipates that 1 year from now, 1-year Treasury securities will yield 4.4%. If the pure expectations theory is correct, what is the yield today for 2-year Treasury securities? Calculate the yield using a geometric average.

One-year Treasury securities yield 4.15%. The market anticipates that 1 year from now, 1-year Treasury securities will yield 4.4%. If the pure expectations theory is correct, what is the yield today for 2-year Treasury securities? Calculate the yield using calculations. Round your answer to two decimal places geometric average. Do not round intermediate 0%