What is the holding period yield if I bought a $$100,00090$ day bill at $8\mathrm{.}14\%$ and sold it $46$ days later at $5\mathrm{.}87\%$ pa$?$

Please give your answer correctly to $2$ decimal places. Express your answer as a percentage $($i$.$e$.6\mathrm{.}45$ not $0\mathrm{.}06),$ with no need for the percentage $(\%)$ sign.