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
    • Mint
    • Redeem
    • Redeem Underlying
    • Borrow
    • Repay Borrow
    • Repay Borrow Behalf
    • Transfer
    • Liquidate Borrow
    • Key Events
    • Error Codes
    • 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
    • Exit Market
    • Get Assets In
    • Collateral Factor
    • Get Account Liquidity
    • Close Factor
    • Liquidation Incentive
    • Key Events
    • Error Codes
    • Failure Info
    • ARS Distribution Speeds
    • Claim ARS
    • Market Metadata
  • Governance
    • Delegate
    • Delegate By Signature
    • Get Current Votes
    • Get Prior Votes
    • Key Events
    • Governor Bravo
    • Quorum Votes
    • Proposal Threshold
    • Proposal Max Operations
    • Voting Delay
    • Voting Period
    • Propose
    • Queue
    • Execute
    • Cancel
    • Get Actions
    • Get Receipt
    • State
    • Cast Vote
    • Cast Vote With Reason
    • Cast Vote By Signature
    • Timelock
    • Pause Guardian
  • Reward Vesting and Staking
    • Reward Vesting
    • ARS Staking
    • Explainer Video
  • LP Staking
    • LP Utility
    • LP Staking Options
    • Zapping LP
    • Maintaining Eligibility Status
    • 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
      • Borrow
      • 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
  • Terms of Service
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  1. Getting Started
  2. Protocol Math

Calculating the APY Using Rate Per Block

The Annual Percentage Yield (APY) for supplying or borrowing in each market can be calculated using the value of supplyRatePerBlock (for supply APY) or borrowRatePerBlock (for borrow APY) in this formula:

Rate = aToken.supplyRatePerBlock(); // Integer
Rate = 37893566
ETH Mantissa = 1 * 10 ^ 18 (ETH has 18 decimal places)
Blocks Per Day = 20 * 60 * 24 (based on 20 blocks occurring every minute)
Days Per Year = 365

APY = ((((Rate / ETH Mantissa * Blocks Per Day + 1) ^ Days Per Year - 1)) - 1) * 100

Here is an example of calculating the supply and borrow APY with Web3.js JavaScript:

const ethMantissa = 1e18;
const blocksPerDay = 20 * 60 * 24;
const daysPerYear = 365;

const aToken = new web3.eth.Contract(sEthAbi, sEthAddress);
const supplyRatePerBlock = await aToken.methods.supplyRatePerBlock().call();
const borrowRatePerBlock = await aToken.methods.borrowRatePerBlock().call();
const supplyApy = (((Math.pow((supplyRatePerBlock / ethMantissa * blocksPerDay) + 1, daysPerYear))) - 1) * 100;
const borrowApy = (((Math.pow((borrowRatePerBlock / ethMantissa * blocksPerDay) + 1, daysPerYear))) - 1) * 100;
console.log(`Supply APY for ETH ${supplyApy} %`);
console.log(`Borrow APY for ETH ${borrowApy} %`);
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Last updated 1 year ago