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| 1 | +import "FlowALPMath" |
| 2 | + |
| 3 | +access(all) contract FlowALPInterestRates { |
| 4 | + |
| 5 | + /// InterestCurve |
| 6 | + /// |
| 7 | + /// A simple interface to calculate interest rate for a token type. |
| 8 | + access(all) struct interface InterestCurve { |
| 9 | + /// Returns the annual interest rate for the given credit and debit balance, for some token T. |
| 10 | + /// @param creditBalance The credit (deposit) balance of token T |
| 11 | + /// @param debitBalance The debit (withdrawal) balance of token T |
| 12 | + access(all) fun interestRate(creditBalance: UFix128, debitBalance: UFix128): UFix128 { |
| 13 | + post { |
| 14 | + // Max rate is 400% (4.0) to accommodate high-utilization scenarios |
| 15 | + // with kink-based curves like Aave v3's interest rate strategy |
| 16 | + result <= 4.0: |
| 17 | + "Interest rate can't exceed 400%" |
| 18 | + } |
| 19 | + } |
| 20 | + } |
| 21 | + |
| 22 | + /// FixedCurve |
| 23 | + /// |
| 24 | + /// A fixed-rate interest curve implementation that returns a constant yearly interest rate |
| 25 | + /// regardless of utilization. This is suitable for stable assets like MOET where predictable |
| 26 | + /// rates are desired. |
| 27 | + /// @param yearlyRate The fixed yearly interest rate as a UFix128 (e.g., 0.05 for 5% APY) |
| 28 | + access(all) struct FixedCurve: InterestCurve { |
| 29 | + |
| 30 | + access(all) let yearlyRate: UFix128 |
| 31 | + |
| 32 | + init(yearlyRate: UFix128) { |
| 33 | + pre { |
| 34 | + yearlyRate <= 1.0: "Yearly rate cannot exceed 100%, got \(yearlyRate)" |
| 35 | + } |
| 36 | + self.yearlyRate = yearlyRate |
| 37 | + } |
| 38 | + |
| 39 | + access(all) fun interestRate(creditBalance: UFix128, debitBalance: UFix128): UFix128 { |
| 40 | + return self.yearlyRate |
| 41 | + } |
| 42 | + } |
| 43 | + |
| 44 | + /// KinkCurve |
| 45 | + /// |
| 46 | + /// A kink-based interest rate curve implementation. The curve has two linear segments: |
| 47 | + /// - Before the optimal utilization ratio (the "kink"): a gentle slope |
| 48 | + /// - After the optimal utilization ratio: a steep slope to discourage over-utilization |
| 49 | + /// |
| 50 | + /// This creates a "kinked" curve that incentivizes maintaining utilization near the |
| 51 | + /// optimal point while heavily penalizing over-utilization to protect protocol liquidity. |
| 52 | + /// |
| 53 | + /// Formula: |
| 54 | + /// - utilization = debitBalance / (creditBalance + debitBalance) |
| 55 | + /// - Before kink (utilization <= optimalUtilization): |
| 56 | + /// rate = baseRate + (slope1 × utilization / optimalUtilization) |
| 57 | + /// - After kink (utilization > optimalUtilization): |
| 58 | + /// rate = baseRate + slope1 + (slope2 × excessUtilization) |
| 59 | + /// where excessUtilization = (utilization - optimalUtilization) / (1 - optimalUtilization) |
| 60 | + /// |
| 61 | + /// @param optimalUtilization The target utilization ratio (e.g., 0.80 for 80%) |
| 62 | + /// @param baseRate The minimum yearly interest rate (e.g., 0.01 for 1% APY) |
| 63 | + /// @param slope1 The total rate increase from 0% to optimal utilization (e.g., 0.04 for 4%) |
| 64 | + /// @param slope2 The total rate increase from optimal to 100% utilization (e.g., 0.60 for 60%) |
| 65 | + access(all) struct KinkCurve: InterestCurve { |
| 66 | + |
| 67 | + /// The optimal utilization ratio (the "kink" point), e.g., 0.80 = 80% |
| 68 | + access(all) let optimalUtilization: UFix128 |
| 69 | + |
| 70 | + /// The base yearly interest rate applied at 0% utilization |
| 71 | + access(all) let baseRate: UFix128 |
| 72 | + |
| 73 | + /// The slope of the interest curve before the optimal point (gentle slope) |
| 74 | + access(all) let slope1: UFix128 |
| 75 | + |
| 76 | + /// The slope of the interest curve after the optimal point (steep slope) |
| 77 | + access(all) let slope2: UFix128 |
| 78 | + |
| 79 | + init( |
| 80 | + optimalUtilization: UFix128, |
| 81 | + baseRate: UFix128, |
| 82 | + slope1: UFix128, |
| 83 | + slope2: UFix128 |
| 84 | + ) { |
| 85 | + pre { |
| 86 | + optimalUtilization >= 0.01: |
| 87 | + "Optimal utilization must be at least 1%, got \(optimalUtilization)" |
| 88 | + optimalUtilization <= 0.99: |
| 89 | + "Optimal utilization must be at most 99%, got \(optimalUtilization)" |
| 90 | + slope2 >= slope1: |
| 91 | + "Slope2 (\(slope2)) must be >= slope1 (\(slope1))" |
| 92 | + baseRate + slope1 + slope2 <= 4.0: |
| 93 | + "Maximum rate cannot exceed 400%, got \(baseRate + slope1 + slope2)" |
| 94 | + } |
| 95 | + self.optimalUtilization = optimalUtilization |
| 96 | + self.baseRate = baseRate |
| 97 | + self.slope1 = slope1 |
| 98 | + self.slope2 = slope2 |
| 99 | + } |
| 100 | + |
| 101 | + access(all) fun interestRate(creditBalance: UFix128, debitBalance: UFix128): UFix128 { |
| 102 | + // If no debt, return base rate |
| 103 | + if debitBalance == 0.0 { |
| 104 | + return self.baseRate |
| 105 | + } |
| 106 | + |
| 107 | + // Calculate utilization ratio: debitBalance / (creditBalance + debitBalance) |
| 108 | + // Note: totalBalance > 0 is guaranteed since debitBalance > 0 and creditBalance >= 0 |
| 109 | + let totalBalance = creditBalance + debitBalance |
| 110 | + let utilization = debitBalance / totalBalance |
| 111 | + |
| 112 | + // If utilization is below or at the optimal point, use slope1 |
| 113 | + if utilization <= self.optimalUtilization { |
| 114 | + // rate = baseRate + (slope1 × utilization / optimalUtilization) |
| 115 | + let utilizationFactor = utilization / self.optimalUtilization |
| 116 | + let slope1Component = self.slope1 * utilizationFactor |
| 117 | + return self.baseRate + slope1Component |
| 118 | + } else { |
| 119 | + // If utilization is above the optimal point, use slope2 for excess |
| 120 | + // excessUtilization = (utilization - optimalUtilization) / (1 - optimalUtilization) |
| 121 | + let excessUtilization = utilization - self.optimalUtilization |
| 122 | + let maxExcess = FlowALPMath.one - self.optimalUtilization |
| 123 | + let excessFactor = excessUtilization / maxExcess |
| 124 | + |
| 125 | + // rate = baseRate + slope1 + (slope2 × excessFactor) |
| 126 | + let slope2Component = self.slope2 * excessFactor |
| 127 | + return self.baseRate + self.slope1 + slope2Component |
| 128 | + } |
| 129 | + } |
| 130 | + } |
| 131 | +} |
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