Aquarius Documentation
  • Aquarius Loan Documentation
  • Getting Started
    • Networks
    • Protocol Math
      • aToken and Underlying Decimals
      • Interpreting Exchange Rates
      • Calculating Accrued Interest
      • Calculating the APY Using Rate Per Block
    • Gas Costs
  • ATokens
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    • Borrow
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    • Repay Borrow Behalf
    • Transfer
    • Liquidate Borrow
    • Key Events
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    • Failure Info
    • Exchange Rate
    • Get Cash
    • Total Borrow
    • Borrow Balance
    • Borrow Rate
    • Total Supply
    • Underlying Balance
    • Supply Rate
    • Total Reserves
    • Reserve Factor
  • Comptroller
    • Enter Markets
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  • Governance
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  • Reward Vesting and Staking
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    • Explainer Video
  • LP Staking
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    • Explainer Video
  • API
    • ATokenService
      • GET: /atoken
    • MarketHistoryService
      • GET: /market_history/graph
    • ProposalService
      • GET: /proposals
      • GET: /proposals/:id
      • GET: /proposals/statistics
    • VoterService
      • GET: /voters/accounts
      • GET: /voters/accounts/:address
      • GET: /voters/history/:address
      • GET: /voters/:proposalId
    • GovernanceService
      • GET: /governance/aquarius
      • GET: /governance/proposals
      • GET: /governance/proposal_vote_receipts
      • GET: /governance/accounts
    • Shared Data Types
  • Aquarius.js
    • Aquarius Constructor
    • API Methods
      • Account
      • aToken
      • Market History
      • Governance
    • aToken Methods
      • Supply
      • Redeem
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      • Repay Borrow
    • ARS Methods
      • To Checksum Address
      • Get ARS Balance
      • Get ARS Accrued
      • Claim ARS
      • Delegate
      • Delegate By Sig
      • Create Delegate Signature
    • Comptroller Methods
      • Enter Markets
      • Exit Market
    • Ethereum Methods
      • Read
      • Trx
      • Get Balance
    • Governance Methods
      • Cast Vote
      • Cast Vote By Sig
      • Create Vote Signature
    • Price Feed Methods
      • Get Price
    • Utility Methods
      • Get Address
      • Get ABI
      • Get Network Name With Chain ID
  • Security
    • Formal Verification
    • Bug Bounty Program
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  1. Getting Started
  2. Protocol Math

Interpreting Exchange Rates

PreviousaToken and Underlying DecimalsNextCalculating Accrued Interest

Last updated 1 year ago

The aToken is scaled by the difference in decimals between the aToken and the underlying asset.

const oneATokenInUnderlying = exchangeRateCurrent / (1 * 10 ^ (18 + underlyingDecimals - aTokenDecimals))

Here is an example of finding the value of 1 aWETH in WETH with Web3.js JavaScript.

const aTokenDecimals = 8; // all aTokens have 8 decimal places
const underlying = new web3.eth.Contract(erc20Abi, ethAddress);
const aToken = new web3.eth.Contract(aTokenAbi, aEthAddress);
const underlyingDecimals = await underlying.methods.decimals().call();
const exchangeRateCurrent = await aToken.methods.exchangeRateCurrent().call();
const mantissa = 18 + parseInt(underlyingDecimals) - aTokenDecimals;
const oneATokenInUnderlying = exchangeRateCurrent / Math.pow(10, mantissa);
console.log('1 aWETH can be redeemed for', oneATokenInUnderlying, 'WETH');

There is no underlying contract for CORE, so to do this with aCORE, set underlyingDecimals to 18.

To find the number of underlying tokens that can be redeemed for aTokens, multiply the number of aTokens by the above value oneATokenInUnderlying.

const underlyingTokens = aTokenAmount * oneATokenInUnderlying
Exchange Rate