> ## Documentation Index
> Fetch the complete documentation index at: https://docs.moon.it/llms.txt
> Use this file to discover all available pages before exploring further.

# 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:** Set by creator e.g. \~17.5% of the supply in **Jupiter Lock**, vested over **12 months** with a **2-day cliff**.
* **Market Cap (Mcap):** `Graduation Liquidity x 100/49`.

# Key Metrics

* **Total Supply (T):** `1,000,000,000` tokens
* **Market Cap (Fully Diluted):** `Graduation Liquidity x 100/49`
* **Token Price on Bonding Curve:** `Market Cap / Total Supply`
* **Allocation at Migration (A):** `~49% × Total Supply ≈ 490M`
* **Max Allocation Before Migration:** `Up to 49.9% if a large buy occurs before the threshold`
* **Flat 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:** `6YaxbM5KTC5hJVYsZFYtKRBJfYdWNaojjwtURBBDmoon`
* **Total Supply (T)** = `1,000,000,000`
* **Graduation Liquidity** = `25 SOL`
* **Mcap (Fully Diluted)** = `51.02 SOL`
* **Price on Bonding Curve** = `51.02 SOL / 1,000,000,000 = 51.02 lamports`
* **Allocation at Migration (A)** = `491,328,686` tokens
* **Collateral Shifted to Meteora** = `25.07 - 3 = 22.07 SOL`
* **Tokens to Migrate:** `22.07 / (61.22 × 10^-9) ≈ 360M`
* **Tokens to Burn**: `1,000,000,000 - 491,328,686 - 360,000,000 = 148M`
* **Creator Allocation:** `45% × 360M ≈ 162M`
* **Final Tokens Migrated to Meteora:** `360M - 162M = 198M`
* **Final 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 lamports`

**Initial Virtual Reserves:** `iVTOKEN = 1,073,000,000`, `iVSOL = 30 SOL`

## Key Metrics

* **Total Supply (T)** = 1,000,000,000
* **Minimum Price** = 27.95 lamports
* **Mcap at Migration** = 431 SOL
* **Allocation at Migration (A)** = \~80% of total supply
* **MarketCapThreshold** = 345 SOL
* **Max Allocation Before Migration** = 82% if a large buy occurs before the threshold
* **Curve 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:** \`
* **Total Supply (T) =** `1,000,000,000`
* **Allocation at Migration (A) =** `801,085,146`
* **Collateral Shifted to Raydium =** `88.39 - 6 = 82.39 SOL`
* **Price at Migration:** `(1,073,000,000 - 801,085,146) / (88.39 + 30) = 4.35e-7`
* **Tokens to Migrate:** `82.39 / 4.35e-7 ≈ 189M`
* **Tokens to Burn:** `1,000,000,000 - 801,085,146 - 189,228,531 = 9.69M`