How does Atoken automatically accure its value?

Hey can anyone tell me how Aave atoken automatically accures its value?

Aave Protocol
aTokens

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Aaveator138

Feb 2 2023, 17:24

Each borrowable asset has a liquidityIndex, which is constantly increasing at a rate determined by the amount of interest being paid by all borrowers. Every Aave aToken holder earns interest proportional to their share of the Aave pool, so their real-time balance is

scaledATokenBalance * liquidtyIndex

where

scaledATokenBalance = suppliedAmount / liquidityIndexAtTimeOfSupply

More info.

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Aave is a decentralized non-custodial liquidity protocol where users can participate as depositors or borrowers.

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