Does it matter for refinancing whether the loan is currently owned by Freddie Mac versus Fannie Mae?

For refinancing, it makes essentially no difference which of the two owns your loan. Fannie Mae and Freddie Mac guidelines are close to identical on the things that matter for a refinance: eligibility, loan-to-value limits, documentation, and pricing all track each other closely. You won't get a materially better or worse deal based solely on which agency holds your note. One thing that trips people up: neither Fannie nor Freddie offers a no-appraisal streamline refinance the way FHA and VA do. An FHA Streamline or VA IRRRL can often skip the appraisal entirely with reduced documentation. A conventional refinance goes through full underwriting, and that includes the agencies' lower-cost options like RefiNow and Refi Possible. Appraisal waivers do come up on conventional loans, but case by case through the automated underwriting system rather than as a standing program. Even historically, special programs treated the two alike; the Home Affordable Refinance Program ran through Fannie and Freddie on equal terms. Knowing which agency owns your loan is useful mainly for looking up your account or checking a specific eligibility tool. Focus on the rate, the costs, and whether the numbers work.