💻 Curve Technical Design

🚀 System Goals

• All tokens graduate at about $50,000 USD market cap

  • USD Values are based exclusively on the KAS Price at the time of Token Launch

  • Variations in MarketCap at graduation will persist until a realtime on-chain KAS price oracle exists.

• Bonding curve trades are fair, dynamic, and decentralized

• LP is formed using all collected KAS (minus fees), matched to reserved tokens at a fixed price

• Token pricing and curve behavior is consistent across all token supplies

• Anti-whale and anti-rug protections are enforced on-chain

• Fees are captured by the protocol treasury for future distribution

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Step 1: Token Creation & Initialization

When a user launches a token on Moonbound, the following inputs and constants are set:

🔧 User-Provided Input

• maxSupply – total token supply (must meet system-defined minimum, e.g. 100,000 tokens)

🔒 Fixed Constants

• n = 2 (quadratic bonding curve exponent) — For initial launch, this is locked globally for all tokens

• targetMarketCapUSD = $50,000

• launchFeeUSD = $5

• graduationFeeUSD = $500

• feeRate = 0.01 (1% fee on every trade, captured on the KAS side of the trade)

• topHolderLimit = 0.10 (no wallet may hold more than 10% of maxSupply)

📈 Oracle Fetch (at time of token creation)

• Fetch kasPriceUSD (KAS price in USD)

💡 Dynamic Calculations (based on oracle value)

• P_graduation_USD = $50,000 / maxSupply

• P_graduation_KAS = P_graduation_USD / kasPriceUSD

• launchFeeKAS = $5 / kasPriceUSD

• graduationFeeKAS = $500 / kasPriceUSD

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Step 2: Curve Supply, Token Allocation & LP Targeting

The system calculates:

• S: tokens allocated to the bonding curve (non-reserved, for trading)

• R: tokens reserved to pair with KAS in the LP

• K_LP: KAS to match with R at P_graduation_KAS

• K_total: gross KAS to collect before protocol fees

🧮 Curve Math (n = 2)

R = maxSupply * 0.25

S = maxSupply - R

K_LP = R * P_graduation_KAS

K_eff = K_LP + graduationFeeKAS

K_total = K_eff / (1 - feeRate)

This ensures:

• The LP is formed with perfect value match at graduation price

• The bonding curve scales consistently across all token sizes

• Early and late buyers experience fair relative pricing

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Step 3: Bonding Curve Trading Behavior

📊 Curve Price Formula

price(s) = P_graduation_KAS * (s / S)^2

Where:

• s: number of curve tokens currently held by users (net sold)

• S: total bonding curve allocation (from Step 2)

🔁 Trading Rules

Buy:

• Buyer receives amount of curve tokens

• Pays price(s) per token (curve-based)

• Pays KAS * (1 + 0.01 fee)

• Contract checks: balanceOf(buyer) + amount ≤ 0.10 * maxSupply ❗ Reverts if violated

• Updates: s += amount

Sell:

• Seller returns tokens to bonding curve

• Receives price(s) per token * (1 - fee)

• Contract retains tokens (not burned)

• Updates: s -= amount

• Tokens are re-buyable at new lower price

The bonding curve is a revolving supply pool. Tokens can be bought, sold, and re-bought until graduation.

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Step 4: Graduation & LP Formation

✅ Graduation Occurs Immediately and Automatically When:

1. s == S (all curve tokens have been sold)

2. No wallet holds more than 10% of maxSupply (already enforced per-transaction)

🛠️ At Graduation:

• Bonding curve is permanently disabled

• No further buys or sells are possible

• Contract removes graduationFeeKAS

• Remaining KAS (K_LP) is paired with R reserved tokens

• LP is created on Zealous Swap at P_graduation_KAS

• LP tokens are burned or locked permanently

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Step 5: Final Constraints & Failsafes

✅ Oracle Requirements

• Oracle must provide KAS/USD price at launch

• Launch fails if oracle price is unavailable

✅ Supply Boundaries

• minSupply = 100,000

• recommended maxSupply ≤ 500,000,000,000

• Curve math supports 100k–500B cleanly via normalized pricing

✅ Gas & Precision

• Use 18-decimal fixed-point math

• Normalize values before exponentiation

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🎯 Summary of Formulas

Component	Formula
Graduation Price (USD)	$50,000 / maxSupply
Graduation Price (KAS)	P_graduation_USD / kasPriceUSD
Launch Fee (KAS)	$5 / kasPriceUSD
Graduation Fee (KAS)	$500 / kasPriceUSD
Curve Price (n = 2)	P_graduation_KAS * (s / S)^2
Reserved Tokens	R = maxSupply * 0.25
Curve Tokens	S = maxSupply - R
LP KAS Side	K_LP = R * P_graduation_KAS
Required KAS to Collect	(K_LP + graduationFeeKAS) / (1 - feeRate)

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This minimalistic bonding curve model ensures Moonbound token launches are trustless, fair, and immediately actionable — with consistent market behavior, guaranteed LP formation, and no off-chain dependencies or time-based gating.