3. The US Treasury is going to sell bonds to raise money from investors (lenders). UST is selling 100BN bonds; each 10 year maturities, 3% coupons, and $1,000 face values (FVs). You must by in blocks of 1,000 bonds. This is true of all bonds in real life. There are 15 prospective buyers ranging from BlackRock to Saudi Sovereign Wealth Fund to Chinese Central Bank. The UST is conducting a Dutch Auction. Here are the bidders, quantities, and prices:

A/5BN/$1,100	B/25BN/$1,000	C/50BN/$1,013	D/20BN/$990	C/15BN/$995
D/25BN/$1,000	E/25BN/$1,000	F/100BN/$990	G/10BN/$1,040	H/7BN/$1,100
I/10BN/$900	J/30BN/$995	K/9BN/$1,035	L/1BN/$1,200	M/80BN/$975

What is the market clearing price?

What is the yield to maturity on these bonds?

Hint: this is the discount rate

What are the allocation amounts for the winning bidders?