When to consider Auto Loan Refinance. You have improved your credit. Interest rates for car loans have fallen. You can go to banks and other lenders, especially those who specialize in providing auto loans. Most of these financial institutions also offer car loan refinancing.Webster Bank – Auto Loan. attach_money. Amount. Pay Bill. Webster Bank customers added this company profile to the doxo Directory. doxo is used by these customers to manage and pay their Webster Bank bills all in one place.