The Treasury announces an auction of $22 billion par value of ten-year Treasury notes. $2 billion of noncompetitive bids are received. The competitive bids are as follows:

Yield to maturity Par value

2.50% $6 billion

2.60% $5 billion

2.70% $4 billion

2.75% $5 billion

2.80% $3 billion

2.90% $6 billion

Compute the yield to maturity paid by noncompetitive bidders with a one-price auction.