The average home price for September was 0.1% above the July 2006 peak, according to the S&P CoreLogic Case-Shiller U.S. National Home Price index released Tuesday. As of the previous month’s reading of the Case-Shiller index, a widely used benchmark for U.S. housing, prices remained 0.1% below the July 2006 record.

Adjusted for inflation, the index still is about 16% below the 2006 high. Home prices jumped 5.5% over the past year.

The average rate on the 30-year fixed-rate mortgage jumped to 6.71 percent for the week ending June 22, up from 6.63 percent the week before.

Rates for mortgages with balances of $417,000 or less were 4.23%, while rates for mortgages with balances of more than $417,000 were 4.18%.