title_body: How to implement continuous interest accruing with native tokens
upvoted_answer: No. Not exactly.
  Since all the tokens on Cardano are native, they all have the same behavior; they just sit there. It's only through transactions that you can change the state of the chain.
  I think you can get the desired behavior though!
  Let's say when you submit your USDT for aUSDT you get a &quot;receipt&quot; UTxO. The receipt includes two pieces of data: deposit amount and deposit slot. Whenever you want to receive your interest, you could submit a transaction to the issuance script with your aUSDT and the receipt UTxO and the contract will calculate the interest based on time since deposit slot. Then the script can either re-issue you aUSDT with the interest and a new receipt or pay out your USDT with interest.
  There might be better ways too, but that's an example how it could probably work.