Today is November 1 2021, Jason plans to make a 360-day investment using two consecutive 180-day $500,000 bank bills. The maturity proceeds of the first bill will be rolled over into the second bill. The purchase yields for the two 180-day bills will be 3.2% and 3.34% p.a., respectively. Note that any surplus funds after 180 days can be invested for 180 days at a rate of 3.84% p.a. simple interest.

What annual rate of simple interest will Jason earn on his 360-day investment? Express your answer in terms of percentage and round it to four decimal places

a. 3.3005% b. 3.2553% c. 3.4036% d. 3.1972%