The inventory of homes for sale jumped in May, up 6.7% month to month and 18.5% higher than in May last year.

The median price of an existing home sold in May was $419,300, a record-high price in the Realtors’ recording, and up 5.8% year over year.

Sales of previously owned homes are sitting at a 30-year low and didn’t move much in May as prices hit a new record and mortgage rates remain high.

So-called existing home sales in May were essentially flat, down 0.7% from April to a seasonally adjusted, annualized rate of 4.11 million units, according to the National Association of Realtors, or NAR. Sales fell 2.8% from May of last year.

This count of closed sales is based on contracts likely signed in March and April. The sluggish sales pace came as rates took a big leap in April.