Yes, bank deposits are a liability for the bank, which is why a bank won’t increase the amount you have in your account if you ask nicely. You have to pay them.

Yes, bank deposits are a liability for the bank, which is why a bank won’t increase the amount you have in your account if you ask nicely. You have to pay them. If someone’s bank account went up by $1 million, the bank better have gotten $1 million more in assets from them somehow, or something weird is going on. (Often, the asset comes from the bank making a loan. You can pay later.)