Assume the Treasury is going to auction $$50$ billion in $12-$week $(72$ day$)$ T$-$bills and the following bids come in for the auction. There are non$-$competitive bids in the amount of $$2\mathrm{.}7$ billion. What is the price at which all Bills are sold? What is the stop$-$out yield $($discount$)?$ Which bidders get completely filled? Which Bidder bid at the stop$-$out yield, and what percent does that bidder get filled?

Bidder ID

Bid Amount $($$ billions$)$

Bid Price $(\%$ of face$)$

A

$12\mathrm{.}6$

$99\mathrm{.}22$

B

$10\mathrm{.}5$

$99\mathrm{.}26$

C

$6$

$99\mathrm{.}3$

D

$11\mathrm{.}6$

$99\mathrm{.}27$

E

$7\mathrm{.}6$

$99\mathrm{.}33$

F

$10$

$99\mathrm{.}35$

G

$10\mathrm{.}1$

$99\mathrm{.}28$

H

$12$

$99\mathrm{.}29$