The Federal Reserve is hoping that its latest interest-rate cut will help keep the economy safely at cruising altitude. But don’t expect it to provide much of a lift to the housing market.

Housing is one of the pathways by which Fed policy produces results. When the central bank cuts interest rates, it encourages people to buy houses (since mortgages are cheaper) and builders to ramp up construction (since demand is strong and borrowing is easier). Those decisions then ripple through the economy, as people buy furniture, builders hire workers and brokers cash their commission checks.

But housing isn’t the engine it once was. The sector is a smaller part of the economy than before the financial crisis, and a smaller share of Americans are homeowners. And with rates already low, it isn’t clear that a further cut by the Fed will do much for housing — if it lowers mortgage rates at all. (More about that in a minute.)

Interest rates still matter for housing. The Fed’s first two rate cuts this year helped stabilize the housing market, which had been heading for a major slump. On Wednesday, the Commerce Department said that construction added to gross domestic product in the third quarter after six quarters of contraction. And lower rates could give another jolt to a refinancing boom that has injected billions of dollars into the economy in recent months.