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Is it possible that Tarun's paper had a mistake which you copied here in your image for interest rates? From looking at the compound whitepaper and this blog (https://ian.pw/posts/2020-12-20-understanding-compound-protocols-interest-rates), it seems like the borrow rate is just (beta_0 + beta_1*U)... and it is the supply/lending rate that is U*(beta_0 + beta_1*U), forgetting about protocol reserve fees here. Could you please confirm that this is correct, otherwise I'm really confused.

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