Question

One-year Treasury securities yield 4.85%. The market anticipates that 1 year from now, 1-year Treasury securities will yield 5.2%. If the pure expectations theory is correct, what is the yield today for 2-year Treasury securities

Answer 1

Answer:

5.025%

Explanation:

When we assume that the pure expectations theory is correct, then we are assuming that there is no risk premium involved. The formula to determine the yield for the 2 year treasury security:

(1 + i)² = (1 + 4.85%) x (1 + 5.2%)

(1 + i)² = 1.0485 x 1.052

(1 + i)² = 1.103022

√(1 + i)² = √1.103022

1 + i = 1.050248542

i = 0.050248542 = 5.025%