Markets watch monthly core inflation prints and conflict headlines as the 10-year holds near 4.60% and Fed tone stays hawkish.

With the 10-year yield near 4.51%, mortgage rates remain near yearly highs as Fed officials cite inflation risks despite lower oil.

A hawkish Fed outlook is anchoring the 10-year near 4.46% to 4.48%, keeping mortgage rates near 6.50% to 6.75% despite oil.

Oil is near $70, but Fed hawks cite sticky inflation and full employment, keeping rate hikes in play and mortgage rates from falling.

Markets pushed the 10-year yield up from 4.53% to 4.58% after Christopher Waller warned supply disruptions may continue.