Treasury department conducted an auction of a $30-$year Treasury bond for $$20$ billion. The

following is the list of competitive bids along with their bidding yields and amount. There are

also $$2$ billion non$-$competitive bids.

a$.$ Which bidder will receive how much of the security?

b$.$ What is the "high" yield of this auction?

c$.$ What is the coupon rate of the security?

d$.$ What is the price of the security for $$100$ par value?