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I am doing a mortgage refinance right now. My lender, who is legitimate, is asking me to help them verify my bank account balances via a service called accountchek.com. Apparently the way this service works is that you go to the site, put in your email address, the last 4 digits of your SSN, and some code that your lender pre-configured for you. Once you do that, it asks you for the username and passwords of all of your bank accounts so it can verify your balances.
Should I go for this option? Is it even safe?