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What is the incentive for a bank to refinance a mortgage at a lower rate?
It also reduces risk from the bank's eyes. Believe it or not, they do lose out when people don't pay on their mortgages. Take the big 3 (Wells, Chase and BoA). If they have 50 million mortgages between the 3 of them and 20% of people at one point won't be able to pay their mortgage due to loss of income or other factors, this presents a risk factor. Although interest payments are still good, reducing their principal and interest keeps them tied down for additional (or sometimes shorter) time, but now they are more likely to keep getting those payments. That's why credit cards back in 07 and 08 reduced limits for customers. The risk factor is huge now for these financial institutions. Do your research, sometimes a refi isn't the best option. Sometimes it is.