Consider the yield curve associated with the Vasicek model [see (7.2.26)]. where F(t, t + ) is

Consider the yield curve associated with the Vasicek model [see (7.2.26)]. 

where F(t, t + τ) is the forward rate and E^tQ is the expectation under Q conditional on the filtration F_t. Show that the liquidity premium for the Vasicek model is given by (Vasicek, 1977)

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p² Show that the yield curve is monotonically increasing when r(t) ≤ R∞ monotonically decreasing when r(t) ≥ R∞+, and it is a bumped curve 4x² when Ro - 0, -