This was not a "data breach" per se. It is a huge text file containing over 9 billion passwords. It does not tie passwords to login ID's or anything else. With this file it is possible for a hacker to use one file containing known ID's and then cycle through passwords in a brute force attack. Most sites (upwards of 99%), especially financial, have security measures in place to handle denial of attack.
Even if you change all of your passwords today, the chances that you will pick a new password that is not on this massive list are very slim. It's kind of like a dictionary, and your job is to guess what word out of that dictionary was last used by someone.
Your best protection is to ensure that you have two factor authentication set up on all of your accounts that connect in any way with your money.
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