Private jumbo mortgages could soon become harder—and pricier—to get.

New rules announced last week by the Consumer Financial Protection Bureau will tighten lending standards in the private-mortgage market. The changes, which start in 2014, will ban lenders from issuing loans if they don't verify a borrower's income or assets.

The CFPB rules are meant to ensure that home buyers have the ability to repay their mortgages. They also affect many affluent buyers seeking private jumbo mortgages, those that start after $417,000 in most parts of the country or at $625,501 in high-cost metro areas.