The Wall Street Journal (WSJ) reports 1-year Treasury securities are yielding r_T1 = 3.23% and you anticipate that one year from now, 1-year Treasury securities will be yielding ₁r_T1 = 3.78%. Assume that the pure expectations theory is valid. Determine the yield today for 2-year Treasury securities (find r_T2). Show your work.

WSJ also reports that interest rates on 4-year Treasuries are currently r_T4 = 4.82% and 6-year Treasuries are r_T6 = 4.15%. Again assume that the pure expectations theory is valid. Determine what 2-year Treasuries will be yielding 4 years from now (find ₄r_T2). Show your work.