Contract 0x4babe1d4f89cbdda49f0402b2c39d0c1923bf4a7

pragma solidity 0.5.17;

import "./InterestRateModel.sol";
import "./SafeMath.sol";

/**
  * @title Moonwell's JumpRateModel Contract
  * @author Moonwell
  */
contract JumpRateModel is InterestRateModel {
    using SafeMath for uint;

    event NewInterestParams(uint baseRatePerTimestamp, uint multiplierPerTimestamp, uint jumpMultiplierPerTimestamp, uint kink);

    /**
     * @notice The approximate number of timestamps per year that is assumed by the interest rate model
     */
    uint public constant timestampsPerYear = 31536000;

    /**
     * @notice The multiplier of utilization rate that gives the slope of the interest rate
     */
    uint public multiplierPerTimestamp;

    /**
     * @notice The base interest rate which is the y-intercept when utilization rate is 0
     */
    uint public baseRatePerTimestamp;

    /**
     * @notice The multiplierPerTimestamp after hitting a specified utilization point
     */
    uint public jumpMultiplierPerTimestamp;

    /**
     * @notice The utilization point at which the jump multiplier is applied
     */
    uint public kink;

    /**
     * @notice Construct an interest rate model
     * @param baseRatePerYear The approximate target base APR, as a mantissa (scaled by 1e18)
     * @param multiplierPerYear The rate of increase in interest rate wrt utilization (scaled by 1e18)
     * @param jumpMultiplierPerYear The multiplierPerTimestamp after hitting a specified utilization point
     * @param kink_ The utilization point at which the jump multiplier is applied
     */
    constructor(uint baseRatePerYear, uint multiplierPerYear, uint jumpMultiplierPerYear, uint kink_) public {
        baseRatePerTimestamp = baseRatePerYear.mul(1e18).div(timestampsPerYear).div(1e18);
        multiplierPerTimestamp = multiplierPerYear.mul(1e18).div(timestampsPerYear).div(1e18);
        jumpMultiplierPerTimestamp = jumpMultiplierPerYear.mul(1e18).div(timestampsPerYear).div(1e18);
        kink = kink_;

        emit NewInterestParams(baseRatePerTimestamp, multiplierPerTimestamp, jumpMultiplierPerTimestamp, kink);
    }

    /**
     * @notice Calculates the utilization rate of the market: `borrows / (cash + borrows - reserves)`
     * @param cash The amount of cash in the market
     * @param borrows The amount of borrows in the market
     * @param reserves The amount of reserves in the market (currently unused)
     * @return The utilization rate as a mantissa between [0, 1e18]
     */
    function utilizationRate(uint cash, uint borrows, uint reserves) public pure returns (uint) {
        // Utilization rate is 0 when there are no borrows
        if (borrows == 0) {
            return 0;
        }

        return borrows.mul(1e18).div(cash.add(borrows).sub(reserves));
    }

    /**
     * @notice Calculates the current borrow rate per timestmp, with the error code expected by the market
     * @param cash The amount of cash in the market
     * @param borrows The amount of borrows in the market
     * @param reserves The amount of reserves in the market
     * @return The borrow rate percentage per timestmp as a mantissa (scaled by 1e18)
     */
    function getBorrowRate(uint cash, uint borrows, uint reserves) public view returns (uint) {
        uint util = utilizationRate(cash, borrows, reserves);

        if (util <= kink) {
            return util.mul(multiplierPerTimestamp).div(1e18).add(baseRatePerTimestamp);
        } else {
            uint normalRate = kink.mul(multiplierPerTimestamp).div(1e18).add(baseRatePerTimestamp);
            uint excessUtil = util.sub(kink);
            return excessUtil.mul(jumpMultiplierPerTimestamp).div(1e18).add(normalRate);
        }
    }

    /**
     * @notice Calculates the current supply rate per timestmp
     * @param cash The amount of cash in the market
     * @param borrows The amount of borrows in the market
     * @param reserves The amount of reserves in the market
     * @param reserveFactorMantissa The current reserve factor for the market
     * @return The supply rate percentage per timestmp as a mantissa (scaled by 1e18)
     */
    function getSupplyRate(uint cash, uint borrows, uint reserves, uint reserveFactorMantissa) public view returns (uint) {
        uint oneMinusReserveFactor = uint(1e18).sub(reserveFactorMantissa);
        uint borrowRate = getBorrowRate(cash, borrows, reserves);
        uint rateToPool = borrowRate.mul(oneMinusReserveFactor).div(1e18);
        return utilizationRate(cash, borrows, reserves).mul(rateToPool).div(1e18);
    }
}

pragma solidity 0.5.17;

/**
  * @title Moonwell's InterestRateModel Interface
  * @author Moonwell
  */
contract InterestRateModel {
    /// @notice Indicator that this is an InterestRateModel contract (for inspection)
    bool public constant isInterestRateModel = true;

    /**
      * @notice Calculates the current borrow interest rate per timestmp
      * @param cash The total amount of cash the market has
      * @param borrows The total amount of borrows the market has outstanding
      * @param reserves The total amount of reserves the market has
      * @return The borrow rate per timestmp (as a percentage, and scaled by 1e18)
      */
    function getBorrowRate(uint cash, uint borrows, uint reserves) external view returns (uint);

    /**
      * @notice Calculates the current supply interest rate per timestmp
      * @param cash The total amount of cash the market has
      * @param borrows The total amount of borrows the market has outstanding
      * @param reserves The total amount of reserves the market has
      * @param reserveFactorMantissa The current reserve factor the market has
      * @return The supply rate per timestmp (as a percentage, and scaled by 1e18)
      */
    function getSupplyRate(uint cash, uint borrows, uint reserves, uint reserveFactorMantissa) external view returns (uint);

}

pragma solidity 0.5.17;

// From https://github.com/OpenZeppelin/openzeppelin-contracts/blob/master/contracts/math/Math.sol
// Subject to the MIT license.

/**
 * @dev Wrappers over Solidity's arithmetic operations with added overflow
 * checks.
 *
 * Arithmetic operations in Solidity wrap on overflow. This can easily result
 * in bugs, because programmers usually assume that an overflow raises an
 * error, which is the standard behavior in high level programming languages.
 * `SafeMath` restores this intuition by reverting the transaction when an
 * operation overflows.
 *
 * Using this library instead of the unchecked operations eliminates an entire
 * class of bugs, so it's recommended to use it always.
 */
library SafeMath {
    /**
     * @dev Returns the addition of two unsigned integers, reverting on overflow.
     *
     * Counterpart to Solidity's `+` operator.
     *
     * Requirements:
     * - Addition cannot overflow.
     */
    function add(uint256 a, uint256 b) internal pure returns (uint256) {
        uint256 c = a + b;
        require(c >= a, "SafeMath: addition overflow");

        return c;
    }

    /**
     * @dev Returns the addition of two unsigned integers, reverting with custom message on overflow.
     *
     * Counterpart to Solidity's `+` operator.
     *
     * Requirements:
     * - Addition cannot overflow.
     */
    function add(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        uint256 c = a + b;
        require(c >= a, errorMessage);

        return c;
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting on underflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     * - Subtraction cannot underflow.
     */
    function sub(uint256 a, uint256 b) internal pure returns (uint256) {
        return sub(a, b, "SafeMath: subtraction underflow");
    }

    /**
     * @dev Returns the subtraction of two unsigned integers, reverting with custom message on underflow (when the result is negative).
     *
     * Counterpart to Solidity's `-` operator.
     *
     * Requirements:
     * - Subtraction cannot underflow.
     */
    function sub(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b <= a, errorMessage);
        uint256 c = a - b;

        return c;
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, reverting on overflow.
     *
     * Counterpart to Solidity's `*` operator.
     *
     * Requirements:
     * - Multiplication cannot overflow.
     */
    function mul(uint256 a, uint256 b) internal pure returns (uint256) {
        // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
        // benefit is lost if 'b' is also tested.
        // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
        if (a == 0) {
            return 0;
        }

        uint256 c = a * b;
        require(c / a == b, "SafeMath: multiplication overflow");

        return c;
    }

    /**
     * @dev Returns the multiplication of two unsigned integers, reverting on overflow.
     *
     * Counterpart to Solidity's `*` operator.
     *
     * Requirements:
     * - Multiplication cannot overflow.
     */
    function mul(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        // Gas optimization: this is cheaper than requiring 'a' not being zero, but the
        // benefit is lost if 'b' is also tested.
        // See: https://github.com/OpenZeppelin/openzeppelin-contracts/pull/522
        if (a == 0) {
            return 0;
        }

        uint256 c = a * b;
        require(c / a == b, errorMessage);

        return c;
    }

    /**
     * @dev Returns the integer division of two unsigned integers.
     * Reverts on division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b) internal pure returns (uint256) {
        return div(a, b, "SafeMath: division by zero");
    }

    /**
     * @dev Returns the integer division of two unsigned integers.
     * Reverts with custom message on division by zero. The result is rounded towards zero.
     *
     * Counterpart to Solidity's `/` operator. Note: this function uses a
     * `revert` opcode (which leaves remaining gas untouched) while Solidity
     * uses an invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     * - The divisor cannot be zero.
     */
    function div(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        // Solidity only automatically asserts when dividing by 0
        require(b > 0, errorMessage);
        uint256 c = a / b;
        // assert(a == b * c + a % b); // There is no case in which this doesn't hold

        return c;
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * Reverts when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b) internal pure returns (uint256) {
        return mod(a, b, "SafeMath: modulo by zero");
    }

    /**
     * @dev Returns the remainder of dividing two unsigned integers. (unsigned integer modulo),
     * Reverts with custom message when dividing by zero.
     *
     * Counterpart to Solidity's `%` operator. This function uses a `revert`
     * opcode (which leaves remaining gas untouched) while Solidity uses an
     * invalid opcode to revert (consuming all remaining gas).
     *
     * Requirements:
     * - The divisor cannot be zero.
     */
    function mod(uint256 a, uint256 b, string memory errorMessage) internal pure returns (uint256) {
        require(b != 0, errorMessage);
        return a % b;
    }
}

{
  "optimizer": {
    "enabled": true,
    "runs": 200
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "libraries": {}
}

[{"inputs":[{"internalType":"uint256","name":"baseRatePerYear","type":"uint256"},{"internalType":"uint256","name":"multiplierPerYear","type":"uint256"},{"internalType":"uint256","name":"jumpMultiplierPerYear","type":"uint256"},{"internalType":"uint256","name":"kink_","type":"uint256"}],"payable":false,"stateMutability":"nonpayable","type":"constructor"},{"anonymous":false,"inputs":[{"indexed":false,"internalType":"uint256","name":"baseRatePerTimestamp","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"multiplierPerTimestamp","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"jumpMultiplierPerTimestamp","type":"uint256"},{"indexed":false,"internalType":"uint256","name":"kink","type":"uint256"}],"name":"NewInterestParams","type":"event"},{"constant":true,"inputs":[],"name":"baseRatePerTimestamp","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"payable":false,"stateMutability":"view","type":"function"},{"constant":true,"inputs":[{"internalType":"uint256","name":"cash","type":"uint256"},{"internalType":"uint256","name":"borrows","type":"uint256"},{"internalType":"uint256","name":"reserves","type":"uint256"}],"name":"getBorrowRate","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"payable":false,"stateMutability":"view","type":"function"},{"constant":true,"inputs":[{"internalType":"uint256","name":"cash","type":"uint256"},{"internalType":"uint256","name":"borrows","type":"uint256"},{"internalType":"uint256","name":"reserves","type":"uint256"},{"internalType":"uint256","name":"reserveFactorMantissa","type":"uint256"}],"name":"getSupplyRate","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"payable":false,"stateMutability":"view","type":"function"},{"constant":true,"inputs":[],"name":"isInterestRateModel","outputs":[{"internalType":"bool","name":"","type":"bool"}],"payable":false,"stateMutability":"view","type":"function"},{"constant":true,"inputs":[],"name":"jumpMultiplierPerTimestamp","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"payable":false,"stateMutability":"view","type":"function"},{"constant":true,"inputs":[],"name":"kink","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"payable":false,"stateMutability":"view","type":"function"},{"constant":true,"inputs":[],"name":"multiplierPerTimestamp","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"payable":false,"stateMutability":"view","type":"function"},{"constant":true,"inputs":[],"name":"timestampsPerYear","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"payable":false,"stateMutability":"view","type":"function"},{"constant":true,"inputs":[{"internalType":"uint256","name":"cash","type":"uint256"},{"internalType":"uint256","name":"borrows","type":"uint256"},{"internalType":"uint256","name":"reserves","type":"uint256"}],"name":"utilizationRate","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"payable":false,"stateMutability":"pure","type":"function"}]

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