Mortgage buyer Freddie Mac said Thursday that the average rate on the 30-year loan increased to 3.40 percent from 3.34 percent last week. That’s still near the 3.31 percent rate reached in November, the lowest on records dating to 1971.

The average on the 15-year fixed mortgage increased to 2.66 percent from 2.64 percent last week. The record low is 2.63 percent.

Mortgage rates tend to track the yield on the 10-year Treasury note. The yield on the note has risen this year from 1.70 percent to 1.89 percent Thursday.

A deal between Congress and the White House to avoid sharp tax increases and a mildly positive employment report for December led investors last week to buy stocks and sell Treasurys. As demand for Treasurys declines, the yield increases.

Even with the increase, mortgage rates are hovering near historic lows. The 30-year fixed mortgage rate averaged 3.66 percent in 2012, the lowest annual average in 65 years, according to Freddie Mac.

Cheaper mortgages are a key reason the housing market began to come back last year. Many economists predict the housing recovery will strengthen in 2013.

Home prices are steadily increasing, which makes consumers feel wealthier and more likely to spend.

Another reason for the housing rebound is that there aren’t enough houses for sale. A limited supply has created demand for new construction, which has made builders more confident.

Lower mortgage rates also have persuaded more people to refinance. That typically leads to lower monthlymortgage payments and more spending. Consumer spending drives nearly 70 percent of economic activity.

Still, the housing market has a long way to a full recovery. And many people are unable to take advantage of the low rates, either because they can’t qualify for stricter lending rules or they lack the money to meet larger down payment requirements.

To calculate average mortgage rates, Freddie Mac surveys lenders across the country on Monday through Wednesday of each week. The average doesn’t include extra fees, known as points, which most borrowers must pay to get the lowest rates. One point equals 1 percent of the loan amount.

The average fee for 30-year loans was unchanged at 0.7 point. The fee for 15-year loans ticked up to 0.7 from 0.6 point.

The average rate on a one-year adjustable-rate mortgage rose to 2.60 percent from 2.57 percent. The fee for one-year adjustable-rate loans edged up to 0.5 from 0.4 point.

The average rate on a five-year adjustable-rate mortgage declined to 2.67 percent from 2.71 percent last week. The fee was steady at 0.6 point.