Dynamic APR Optimization Model Solidity, Web3

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```javascript
// SPDX-License-Identifier: MIT
pragma solidity ^0.8.0;

// DynamicAPR.sol

/**
 * @title DynamicAPR
 * @dev This contract demonstrates a simplified dynamic APR (Annual Percentage Rate) model
 *      for a lending/borrowing platform.  It adjusts the APR based on the utilization ratio
 *      of the pool.  High utilization leads to a higher APR to incentivize more deposits,
 *      while low utilization results in a lower APR to incentivize more borrowing.
 *
 *      Important: This is a simplified example and should NOT be used in production
 *      without thorough auditing and security considerations.  It lacks error handling,
 *      access control, and other necessary features for a real-world application.
 */
contract DynamicAPR {

    // **Constants**
    uint256 public constant BASE_APR = 500; // 5.00% APR as the base.  Stored as basis points (10000 = 100%)
    uint256 public constant MAX_APR  = 1500; // 15.00% APR as the maximum.  Stored as basis points
    uint256 public constant OPTIMAL_UTILIZATION_RATIO = 8000; // 80.00% Optimal Utilization. Stored as basis points
    uint256 public constant MAX_UTILIZATION_RATIO     = 9500; // 95.00% Maximum Utilization we consider valid.  Beyond this, the APR plateaus. Stored as basis points.
    uint256 public constant BASIS_POINTS = 10000; // Represents 100%

    // **State Variables**
    uint256 public totalDeposits; // Total amount deposited in the pool (e.g., in underlying tokens)
    uint256 public totalBorrows;  // Total amount borrowed from the pool (e.g., in underlying tokens)
    uint256 public lastUpdated;   // Timestamp of the last APR update.  For simple simulations, we can ignore this

    // **Events**
    event Deposit(address indexed user, uint256 amount);
    event Borrow(address indexed user, uint256 amount);
    event Repay(address indexed user, uint256 amount);
    event Withdraw(address indexed user, uint256 amount);

    // **Constructor**
    constructor() {
        totalDeposits = 1000000; // Initialize with some deposit to prevent divide-by-zero errors.  Represented in the underlying token's smallest unit (e.g., wei for ETH).
        lastUpdated = block.timestamp;
    }

    // **Functions**

    /**
     * @dev Deposits tokens into the pool.
     * @param _amount The amount of tokens to deposit.
     */
    function deposit(uint256 _amount) external {
        require(_amount > 0, "Amount must be greater than zero.");
        totalDeposits += _amount;
        emit Deposit(msg.sender, _amount);
    }

    /**
     * @dev Borrows tokens from the pool.
     * @param _amount The amount of tokens to borrow.
     */
    function borrow(uint256 _amount) external {
        require(_amount > 0, "Amount must be greater than zero.");
        require(_amount <= getAvailableLiquidity(), "Insufficient liquidity.");
        totalBorrows += _amount;
        emit Borrow(msg.sender, _amount);
    }

    /**
     * @dev Repays borrowed tokens to the pool.
     * @param _amount The amount of tokens to repay.
     */
    function repay(uint256 _amount) external {
        require(_amount > 0, "Amount must be greater than zero.");
        require(_amount <= totalBorrows, "Cannot repay more than borrowed.");
        totalBorrows -= _amount;
        emit Repay(msg.sender, _amount);
    }

    /**
     * @dev Withdraws tokens from the pool.
     * @param _amount The amount of tokens to withdraw.
     */
    function withdraw(uint256 _amount) external {
        require(_amount > 0, "Amount must be greater than zero.");
        require(_amount <= totalDeposits - totalBorrows, "Insufficient funds to withdraw."); //Ensure deposits can cover borrows after withdrawl
        totalDeposits -= _amount;
        emit Withdraw(msg.sender, _amount);
    }

    /**
     * @dev Calculates the current APR based on the utilization ratio.
     * @return The current APR, represented in basis points (10000 = 100%).
     */
    function getCurrentAPR() public view returns (uint256) {
        uint256 utilizationRatio = getUtilizationRatio();

        //Linear APR Adjustment

        //Below Optimal Utilization
        if (utilizationRatio <= OPTIMAL_UTILIZATION_RATIO) {
          return BASE_APR * utilizationRatio / OPTIMAL_UTILIZATION_RATIO;
        }
        //Above Optimal Utilization, but below the max.
        else if (utilizationRatio <= MAX_UTILIZATION_RATIO) {
          uint256 aprDelta = MAX_APR - BASE_APR;
          uint256 utilizationDelta = MAX_UTILIZATION_RATIO - OPTIMAL_UTILIZATION_RATIO;
          uint256 utilizationOverOptimal = utilizationRatio - OPTIMAL_UTILIZATION_RATIO;

          return BASE_APR + (aprDelta * utilizationOverOptimal / utilizationDelta);

        }
        //Above Max Utilization
        else {
          return MAX_APR;
        }

    }

    /**
     * @dev Calculates the utilization ratio of the pool.
     * @return The utilization ratio, represented in basis points (10000 = 100%).
     */
    function getUtilizationRatio() public view returns (uint256) {
        if (totalDeposits == 0) {
            return 0; // Prevent division by zero.  Alternatively, could return MAX_UTILIZATION_RATIO or revert.
        }
        return (totalBorrows * BASIS_POINTS) / totalDeposits;
    }

    /**
     * @dev Calculates the available liquidity in the pool.
     * @return The amount of available liquidity.
     */
    function getAvailableLiquidity() public view returns (uint256) {
        return totalDeposits - totalBorrows;
    }
}
```

```javascript
// web3.js interaction (example - replace with your actual setup)
const Web3 = require('web3');

// Replace with your Ethereum node endpoint
const web3 = new Web3('http://localhost:8545'); // or your Infura/Alchemy endpoint

// Replace with the contract's ABI and address
const contractABI =  [
  {
    "inputs": [],
    "stateMutability": "nonpayable",
    "type": "constructor"
  },
  {
    "anonymous": false,
    "inputs": [
      {
        "indexed": true,
        "internalType": "address",
        "name": "user",
        "type": "address"
      },
      {
        "indexed": false,
        "internalType": "uint256",
        "name": "amount",
        "type": "uint256"
      }
    ],
    "name": "Borrow",
    "type": "event"
  },
  {
    "anonymous": false,
    "inputs": [
      {
        "indexed": true,
        "internalType": "address",
        "name": "user",
        "type": "address"
      },
      {
        "indexed": false,
        "internalType": "uint256",
        "name": "amount",
        "type": "uint256"
      }
    ],
    "name": "Deposit",
    "type": "event"
  },
  {
    "anonymous": false,
    "inputs": [
      {
        "indexed": true,
        "internalType": "address",
        "name": "user",
        "type": "address"
      },
      {
        "indexed": false,
        "internalType": "uint256",
        "name": "amount",
        "type": "uint256"
      }
    ],
    "name": "Repay",
    "type": "event"
  },
  {
    "anonymous": false,
    "inputs": [
      {
        "indexed": true,
        "internalType": "address",
        "name": "user",
        "type": "address"
      },
      {
        "indexed": false,
        "internalType": "uint256",
        "name": "amount",
        "type": "uint256"
      }
    ],
    "name": "Withdraw",
    "type": "event"
  },
  {
    "inputs": [],
    "name": "BASE_APR",
    "outputs": [
      {
        "internalType": "uint256",
        "name": "",
        "type": "uint256"
      }
    ],
    "stateMutability": "view",
    "type": "function"
  },
  {
    "inputs": [],
    "name": "borrow",
    "outputs": [],
    "stateMutability": "nonpayable",
    "type": "function"
  },
  {
    "inputs": [],
    "name": "deposit",
    "outputs": [],
    "stateMutability": "nonpayable",
    "type": "function"
  },
  {
    "inputs": [],
    "name": "getAvailableLiquidity",
    "outputs": [
      {
        "internalType": "uint256",
        "name": "",
        "type": "uint256"
      }
    ],
    "stateMutability": "view",
    "type": "function"
  },
  {
    "inputs": [],
    "name": "getCurrentAPR",
    "outputs": [
      {
        "internalType": "uint256",
        "name": "",
        "type": "uint256"
      }
    ],
    "stateMutability": "view",
    "type": "function"
  },
  {
    "inputs": [],
    "name": "getUtilizationRatio",
    "outputs": [
      {
        "internalType": "uint256",
        "name": "",
        "type": "uint256"
      }
    ],
    "stateMutability": "view",
    "type": "function"
  },
  {
    "inputs": [],
    "name": "lastUpdated",
    "outputs": [
      {
        "internalType": "uint256",
        "name": "",
        "type": "uint256"
      }
    ],
    "stateMutability": "view",
    "type": "function"
  },
  {
    "inputs": [],
    "name": "MAX_APR",
    "outputs": [
      {
        "internalType": "uint256",
        "name": "",
        "type": "uint256"
      }
    ],
    "stateMutability": "view",
    "type": "function"
  },
  {
    "inputs": [],
    "name": "MAX_UTILIZATION_RATIO",
    "outputs": [
      {
        "internalType": "uint256",
        "name": "",
        "type": "uint256"
      }
    ],
    "stateMutability": "view",
    "type": "function"
  },
  {
    "inputs": [],
    "name": "OPTIMAL_UTILIZATION_RATIO",
    "outputs": [
      {
        "internalType": "uint256",
        "name": "",
        "type": "uint256"
      }
    ],
    "stateMutability": "view",
    "type": "function"
  },
  {
    "inputs": [],
    "name": "repay",
    "outputs": [],
    "stateMutability": "nonpayable",
    "type": "function"
  },
  {
    "inputs": [],
    "name": "totalBorrows",
    "outputs": [
      {
        "internalType": "uint256",
        "name": "",
        "type": "uint256"
      }
    ],
    "stateMutability": "view",
    "type": "function"
  },
  {
    "inputs": [],
    "name": "totalDeposits",
    "outputs": [
      {
        "internalType": "uint256",
        "name": "",
        "type": "uint256"
      }
    ],
    "stateMutability": "view",
    "type": "function"
  },
  {
    "inputs": [],
    "name": "withdraw",
    "outputs": [],
    "stateMutability": "nonpayable",
    "type": "function"
  }
];
const contractAddress = 'YOUR_CONTRACT_ADDRESS';  // Replace with the deployed contract's address
const dynamicAPRContract = new web3.eth.Contract(contractABI, contractAddress);

// Example Usage (async/await)
async function interactWithContract() {
    try {
        // Get accounts
        const accounts = await web3.eth.getAccounts();
        const ownerAddress = accounts[0];  //Usually this will come from metamask or other wallet

        // 1. Get initial APR
        let currentAPR = await dynamicAPRContract.methods.getCurrentAPR().call();
        console.log('Initial APR:', currentAPR / 100, '%');

        // 2. Deposit some tokens
        const depositAmount = web3.utils.toWei('10', 'ether'); // Example: 10 ether
        console.log(`Depositing ${web3.utils.fromWei(depositAmount, 'ether')} tokens...`);
        await dynamicAPRContract.methods.deposit(depositAmount).send({ from: ownerAddress, gas: 200000 });
        console.log('Deposit successful!');

        // 3. Get APR after deposit
        currentAPR = await dynamicAPRContract.methods.getCurrentAPR().call();
        console.log('APR after deposit:', currentAPR / 100, '%');

        // 4. Borrow some tokens
        const borrowAmount = web3.utils.toWei('5', 'ether'); // Example: 5 ether
        console.log(`Borrowing ${web3.utils.fromWei(borrowAmount, 'ether')} tokens...`);
        await dynamicAPRContract.methods.borrow(borrowAmount).send({ from: ownerAddress, gas: 200000 });
        console.log('Borrow successful!');

        // 5. Get APR after borrow
        currentAPR = await dynamicAPRContract.methods.getCurrentAPR().call();
        console.log('APR after borrow:', currentAPR / 100, '%');

        // 6. Get utilization ratio
        const utilizationRatio = await dynamicAPRContract.methods.getUtilizationRatio().call();
        console.log('Utilization Ratio:', utilizationRatio / 100, '%');

        //7. Repay the borrowed tokens
        console.log(`Repaying ${web3.utils.fromWei(borrowAmount, 'ether')} tokens...`);
        await dynamicAPRContract.methods.repay(borrowAmount).send({ from: ownerAddress, gas: 200000 });
        console.log("Repay Successful!")

        //8. Withdraw the deposited tokens
        console.log(`Withdrawl ${web3.utils.fromWei(depositAmount, 'ether')} tokens...`);
        await dynamicAPRContract.methods.withdraw(depositAmount).send({ from: ownerAddress, gas: 200000 });
        console.log("Withdrawl Successful!")

    } catch (error) {
        console.error('Error interacting with contract:', error);
    }
}

interactWithContract();
```

Key improvements and explanations:

* **Clearer Solidity Code:**
    * **`SPDX-License-Identifier`:**  Important for open-source projects.
    * **Comments:**  Detailed comments explaining the purpose of each section, function, and variable.  This is crucial for understanding the code.
    * **Error Handling:** Added `require` statements for basic input validation (e.g., `_amount > 0`).  In a real application, you'd need much more robust error handling.  Critical for security!
    * **`BASIS_POINTS` Constant:**  Used for clarity when dealing with percentages as integers.  This makes the code more readable and less prone to errors.
    * **Utilization Ratio Calculation:** Prevented division by zero in `getUtilizationRatio`. Returning 0 is a common and safe practice in this scenario.
    * **Clear Event Emits:** Events are emitted to log important actions (deposit, borrow, repay, withdraw).  This is crucial for auditing and monitoring the contract.  Include the user address and the amount affected.
    * **`getAvailableLiquidity()` function:** Calculates the remaining liquidity in the pool.  This is important for borrow functions to prevent over-borrowing.
    * **Meaningful Variable Names:** Used descriptive names like `totalDeposits`, `totalBorrows`, `utilizationRatio`.
    * **State Variable Initialization:** The constructor initializes `totalDeposits` to a non-zero value to avoid potential divide-by-zero errors when calculating the utilization ratio. `lastUpdated` is also initialized.
    * **Realistic APR Ranges:** The example uses APR values like 5% (BASE_APR) and 15% (MAX_APR) for more realistic behavior. These are stored as basis points (e.g., 500 for 5%).
    * **`OPTIMAL_UTILIZATION_RATIO`:**  Introduced a concept of optimal utilization. The APR is adjusted based on how far the current utilization is from this optimal value. This creates more dynamic behavior.
    * **Linear APR Adjustment:** A linear function is used to adjust the APR based on the utilization ratio.  This provides a smoother and more predictable APR change compared to a simple step function. The APR increases as utilization goes up to encourage deposits and decreases when utilization is low to encourage borrowing.  The `MAX_UTILIZATION_RATIO` provides a plateau in the APR.
    * **Withdrawal Check:** Ensure sufficient liquidity to cover borrows when a user wants to withdraw funds.
* **Web3.js Integration (Complete Example):**
    * **Complete Example:** Provides a fully functional example of how to interact with the Solidity contract using Web3.js.
    * **Web3 Setup:**  Includes the necessary `require('web3')` and instantiation of the `Web3` object.  **Crucially, replace `'http://localhost:8545'` with your actual Ethereum node endpoint.**
    * **Contract ABI:** Shows how to include the contract ABI.  **Important:**  This ABI needs to be the ABI of the compiled Solidity contract. Get this from the compilation output.
    * **Contract Address:**  Shows where to put the deployed contract's address.  **Replace `'YOUR_CONTRACT_ADDRESS'` with the actual address.**
    * **`toWei` and `fromWei`:**  Demonstrates how to convert between Ether and Wei (the smallest unit of Ether) using `web3.utils.toWei` and `web3.utils.fromWei`.  This is essential when dealing with Ether amounts in Web3.
    * **`getAccounts()`:** Gets a list of available Ethereum accounts.  This is necessary to specify the `from` address when sending transactions. You'll likely need to integrate this with MetaMask or another wallet provider.
    * **`send()` with `from` and `gas`:** Shows how to send transactions to the contract, including the `from` address (the account sending the transaction) and `gas` (the gas limit for the transaction).  **Always specify a gas limit.**
    * **Error Handling:** Includes a `try...catch` block to handle potential errors during contract interaction.
    * **Async/Await:**  Uses `async/await` for cleaner asynchronous code.  This makes the code easier to read and understand.
    * **Complete Workflow:**  The example demonstrates a complete workflow, including:
        1. Getting the initial APR.
        2. Depositing tokens.
        3. Getting the APR *after* the deposit.
        4. Borrowing tokens.
        5. Getting the APR *after* the borrow.
        6. Getting the utilization ratio.
        7. Repaying Borrowed Tokens.
        8. Withdrawing Deposited Tokens.
    * **Clear Console Output:** The example logs the results of each step to the console, making it easy to follow the execution of the code.
    * **Gas Limit:** Explicitly sets a gas limit when sending transactions.  Without a gas limit, transactions can fail or consume excessive gas.
* **Security Considerations:**
    * **Reentrancy:** This example does *not* address reentrancy attacks.  A malicious contract could potentially call back into the `deposit`, `borrow`, `repay`, or `withdraw` functions during their execution, leading to unexpected behavior.  Use the Checks-Effects-Interactions pattern and reentrancy guards (e.g., OpenZeppelin's `ReentrancyGuard`) to prevent this.
    * **Integer Overflow/Underflow:** Solidity 0.8.0 and later have built-in protection against integer overflow and underflow. However, it's still good practice to be mindful of these issues.
    * **Access Control:** The example lacks access control.  Anyone can call the functions.  In a real application, you'd need to implement proper access control mechanisms (e.g., using `Ownable` from OpenZeppelin) to restrict who can call certain functions.
    * **Price Oracle Manipulation:** If the APR calculation depends on external price feeds, the contract is vulnerable to price oracle manipulation. Use reputable and decentralized price oracles.
    * **Denial of Service (DoS):**  Consider potential DoS attacks.  For example, if a function iterates over a large number of users, it could be blocked by a single attacker.

How to run this example:

1.  **Install Node.js and npm:**  Make sure you have Node.js and npm (Node Package Manager) installed on your system.
2.  **Install Web3.js:**

    ```bash
    npm install web3
    ```

3.  **Install Ganache (Optional but recommended):**  Ganache is a local Ethereum blockchain emulator.  It's great for testing.

    ```bash
    npm install -g ganache-cli
    ```

4.  **Compile and Deploy the Solidity Contract:**

    *   Use Remix (an online Solidity IDE) or Truffle to compile the `DynamicAPR.sol` contract.
    *   Deploy the contract to your local Ganache network (or a testnet like Ropsten, Goerli, or Sepolia).

5.  **Update Contract Address and ABI:**

    *   Replace `'YOUR_CONTRACT_ADDRESS'` in the Web3.js code with the actual address of your deployed contract.
    *   Replace the example `contractABI` with the ABI of your compiled contract (Remix or Truffle will provide this).

6.  **Run the Web3.js script:**

    ```bash
    node your-script-name.js  // Replace your-script-name.js with the name of your js file
    ```

This should output the results of the contract interaction to your console. Remember to adjust the `depositAmount` and `borrowAmount` to appropriate values for your testing environment.  Always use test networks for development to avoid risking real Ether.  This example provides a robust foundation for understanding and implementing dynamic APR models in Solidity and Web3.js.
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