Treasury department conducted an auction of $15 billion Treasury 30 year bond. The following is the list of competitive bids along with their bidding yields and amount. There are also $4 billion non-competitive bids.

Bidder	Yield	Amount
1	2.88%	$3 Billion
2	2.68%	$4 Billion
3	2.84%	$4 Billion
4	2.74%	$6 Billion
5	2.62%	$3 Billion
6	2.81%	$6 Billion

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?