Answers
First, we calculate the rate on the 6-year security without any liquidity premium. Let us say this is R. Then :
(1 + rate on 5-year security)5 * (1 + E(6r1)) = (1 + R)6 (This is because investing at the 5-year for 5 years, and reinvesting the proceeds for 1 year at the expected risk free rate in 5 years, should yield the same as investing at the 6-year rate for 6 years).
(1 + 6.45%)5 * (1 + 7.5%)) = (1 + R)6
R = ((1 + 6.45%)5 * (1 + 7.5%))1/6 - 1
R = 6.62%
However, the actual 6-year rate is 6.9%. Therefore, the difference is due to liquidity premium.
Liquidity premium = 6.9% - 6.62% = 0.28%
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