Bonding curves
Logic underpinning the curves
Flat Curve
This flat bonding curve allows creators to bootstrap liquidity at a fixed price while enabling token migration and collateral transfer to a preferred DEX.
Migration Trigger: ~49% of the 1 billion token supply is sold.
Graduation Liquidity: Set by the creator (minimum 25SOL).
Creator Allocation: ~17.5% of the supply in Jupiter Lock, vested over 12 months with a 1-week cliff.
Market Cap (Mcap):
2 × Graduation Liquidity.
Key Metrics
Total Supply (T):
1,000,000,000tokensMarket Cap (Fully Diluted):
2 × Graduation LiquidityToken Price on Bonding Curve:
Market Cap / Total SupplyAllocation at Migration (A):
~49% × Total Supply ≈ 490MMax Allocation Before Migration:
Up to 49.9% if a large buy occurs before the thresholdFlat Price Mechanics: Token price remains fixed until migration.
Migration Fee (F)
Raydium:
6 SOL(1 SOL → Raydium, 3 SOL → OpenBook, 2 SOL → Moonit)Meteora:
3 SOL(1 SOL → Token accounts, 2 SOL → Moonit)
Calculations
Token Price at Migration: Price on Bonding Curve × 1.2
Tokens to Burn (B): B = T - A - M
Creator Allocation (Jupiter Lock): 45% × M
Final Tokens Migrated: Final Tokens Migrated = M - Creator Allocation
Final Token Price on DEX: (Collateral Collected - Migration Fees) / Final Tokens Migrated
Example Calculation (Devnet Token)
Token Address:
6YaxbM5KTC5hJVYsZFYtKRBJfYdWNaojjwtURBBDmoonTotal Supply (T) =
1,000,000,000Graduation Liquidity =
25 SOLMcap (Fully Diluted) =
51.02 SOLPrice on Bonding Curve =
51.02 SOL / 1,000,000,000 = 51.02 lamportsAllocation at Migration (A) =
491,328,686tokensCollateral Shifted to Meteora =
25.07 - 3 = 22.07 SOLTokens to Migrate:
22.07 / (61.22 × 10^-9) ≈ 360MTokens to Burn:
1,000,000,000 - 491,328,686 - 360,000,000 = 148MCreator Allocation:
45% × 360M ≈ 162MFinal Tokens Migrated to Meteora:
360M - 162M = 198MFinal Token Price on Meteora:
22.07 SOL / 198,000,000 = ~111 Lamports
Classic Curve
Migration Trigger: ~80% of 1B token supply is sold.
Market Cap at Migration:
~431 SOL.Collateral Collected:
~88 SOL.DEX Choice: Migration to Meteora or Raydium (set by the creator at launch).
Bonding Curve Formula
vTOKEN × vSOL = k
Where:
vTOKEN = Virtual reserve of the token.
vSOL = Virtual reserve of the collateral (SOL).
k = Constant determining the curve shape.
Setting Initial Values
k = vTOKEN × vSOL = iVTOKEN × iVSOL
Initial Price:
iVSOL / iVTOKEN = 27.95 lamportsInitial Virtual Reserves:
iVTOKEN = 1,073,000,000,iVSOL = 30 SOL
Key Metrics
Total Supply (T) =
1,000,000,000Minimum Price =
27.95 lamportsMcap at Migration =
431 SOLAllocation at Migration (A) =
~80% of total supplyMarketCapThreshold =
345 SOLMax Allocation Before Migration =
82% if a large buy occurs before the thresholdCurve Progress (%) =
Allocation / Min Token Amount (799,820,983,207,404,442)
Migration Fee (F)
Raydium:
6 SOL(1 SOL → Raydium, 3 SOL → OpenBook, 2 SOL → Moonit).Meteora:
3 SOL(1 SOL → Token accounts, 2 SOL → Moonit).
Calculations
Tokens to Migrate (M): (Collateral Collected - Migration Fees) / Price at Migration
Tokens to Burn (B): T - A - M
Example Calculation
Token Address:
6ovpeZNwNbXJzUaXMs8zozh9JvnJPq5teUJTQtLhRDwgTotal Supply (T) =
1,000,000,000Allocation at Migration (A) =
801,085,146Collateral Shifted to Raydium =
88.39 - 6 = 82.39 SOLPrice at Migration:
(1,073,000,000 - 801,085,146) / (88.39 + 30) = 4.35e-7Tokens to Migrate:
82.39 / 4.35e-7 ≈ 189MTokens to Burn:
1,000,000,000 - 801,085,146 - 189,228,531 = 9.69M
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