Refer to the U$.$S$.$ treasury quotes below. Assume today is April $20,2024.$ If you are interested in purchasing a T$-$bill that matures on September $12,2024.$ However, you only know the Asked yield of the issue. How much would you need to pay $($Note$,$ there are $145$ days between April $20$ and September $12$ in $2024.)?$

U$.$S$.$ Treasury Quotes

Treasury Notes & Bonds $|$ Treasury Bills

Treasury bill bid and ask data are representative over$-$the$-$counter quotations as of $3$ pm Eastern time quoted as a discount to face value. Treasury bill yields are to maturity and based on the asked quote

$\backslash$table$[[$MATURITY$,$BID,ASKED,CHG$,$ASKED YIELD$],[\frac{8}{29}\frac{?}{2024},5\mathrm{.}180,5\mathrm{.}170,+0\mathrm{.}005,5\mathrm{.}359],[\frac{9}{5}\frac{?}{2024},5\mathrm{.}165,5\mathrm{.}155,-0\mathrm{.}010,5\mathrm{.}334],[\frac{9}{12}\frac{?}{2024},5\mathrm{.}150,,-0\mathrm{.}010,5\mathrm{.}323],[\frac{9}{19}\frac{?}{2024},5\mathrm{.}170,5\mathrm{.}160,-0\mathrm{.}005,5\mathrm{.}350],[\frac{9}{26}\frac{?}{2024},5\mathrm{.}165,5\mathrm{.}155,$unch.,$5\mathrm{.}350],[\frac{10}{3}\frac{?}{2024},5\mathrm{.}140,5\mathrm{.}130,-0\mathrm{.}015,5\mathrm{.}329],[\frac{10}{10}\frac{?}{2024},5\mathrm{.}155,5\mathrm{.}145,-0\mathrm{.}005,5\mathrm{.}350],[\frac{10}{17}\frac{?}{2024},5\mathrm{.}150,5\mathrm{.}140,-0\mathrm{.}005,5\mathrm{.}350],[\frac{10}{31}\frac{?}{2024},5\mathrm{.}090,5\mathrm{.}080,+0\mathrm{.}015,5\mathrm{.}243],[\frac{11}{29}\frac{?}{2024},5\mathrm{.}055,5\mathrm{.}045,-0\mathrm{.}005,5\mathrm{.}228],[\frac{12}{26}\frac{?}{2024},4\mathrm{.}990,4\mathrm{.}980,-0\mathrm{.}015,5\mathrm{.}179],[\frac{1}{23}\frac{?}{2025},4\mathrm{.}945,4\mathrm{.}935,-0\mathrm{.}005,5\mathrm{.}151],[\frac{2}{20}\frac{?}{2025},4\mathrm{.}950,4\mathrm{.}940,-0\mathrm{.}025,5\mathrm{.}177],[\frac{3}{20}\frac{?}{2025},4\mathrm{.}915,4\mathrm{.}905,-0\mathrm{.}020,5\mathrm{.}146]]$

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