Suppose we observe the following rates: ₁R₁ = 4.2%, ₁R₂ = 4.7%, and E(₂r₁) = 4.2%. If the liquidity premium theory of the term structure of interest rates holds, what is the liquidity premium for year 2? (Round your intermediate calculations to 5 decimal places and final percentage answer to 2 decimal places. (e.g., 32.16))

You must provide the detailed calculation steps either in hand written or typed document.

show all the calculation please