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 If I have a credit card with a bank that fails, what happens to my debt? 
 It gets purchased by the acquiring bank. You’ll keep making payments, probably even keep paying to the same place. 

But it will be someone else’s hand that receives the payment. 
 Assuming you hold Bitcoin, your debt gets inflated away, and is easier and easier to pay back as the dollar devalues against BTC. 
 Depends if your bank still owns it. If they do it will be sold for creditor benefit. If not then maybe no change. Either way, u pay.