# Pre-funding

### Pre-Funding: Leverage Multiplication Engine

#### Core Mechanism

Pre-funding enables traders to amplify their buying power through a collateral-backed loan system that operates *before* position opening:

<figure><img src="/files/wA0BUxlcbcCsBqJJOmKa" alt=""><figcaption></figcaption></figure>

#### Mathematical Foundation

**Leverage Calculation**:

```
Effective Leverage = (Borrowed Amount + Self-Capital) × Exchange Leverage ÷ Self-Capital
                   = ($4,000 + $1,000) × 40x ÷ $1,000 
                   = 200,000 ÷ 1,000 
                   = 200x
```

*Note: Combined with position size, actual effective leverage = 200x*

**Loss Containment Formula**:

```
Max Protocol Loss = 0
Max Trader Loss = 100% of Self-Capital
Loan Protection Buffer = Position Size × (1 - β) > Borrowed Amount
```

#### Key Components

| Component              | Function                    | Protection Mechanism                       |
| ---------------------- | --------------------------- | ------------------------------------------ |
| **Capital Multiplier** | Amplifies trader collateral | 4:1 debt-to-collateral ratio               |
| **Dynamic Stop-Loss**  | Prevents loan impairment    | Real-time β-adjusted liquidation threshold |
| **Auto-Repayment**     | Secures lender capital      | Direct principal return on liquidation     |
| **Interest Escrow**    | Protects lender yield       | Deducted before profit distribution        |

#### Risk Control Workflow

<figure><img src="/files/bzUzbjbyI6DCAwANAnWD" alt=""><figcaption></figcaption></figure>

#### Performance Advantages

1. **Leverage Amplification**\
   Turns 40x exchange leverage → 200x effective exposure
2. **Capital Protection**\
   Guarantees 100% principal recovery for Fund Vault
3. **Zero Slippage Entry**\
   Pre-funded collateral enables instant position opening
4. **Interest Rate Efficiency**\
   Loans priced at competitive rates:

   ```
   Base Rate: 0.01% per hour
   Dynamic Premium: 0.005% × (Borrowed Amount ÷ Vault Capacity)
   ```

#### Real-World Example

**Trade Parameters**:

* Self-Capital: $1,000
* Borrowed: $4,000 (4x)
* Total Collateral: $5,000
* Exchange Leverage: 40x
* Position Size: $200,000
* β Coefficient: 3% (normal volatility)

**Profit Scenario**:

1. ETH price increases 0.5%
2. Position value: $201,000 (+$1,000)
3. Close position → repay $4,000 + $0.80 interest
4. Trader nets: $1,000 + ($1,000 - $0.80) = $1,999.20 (99.92% ROI)

**Liquidation Scenario**:

1. ETH price drops 0.3%
2. Position value: $199,400
3. Stop-loss triggers at $199,400 < MV ($4,000 ÷ 0.97 = $4,123.71)
4. Vault receives full $4,000 repayment
5. Trader loses $1,000 collateral

This refined pre-funding model creates a win-win structure: Traders access unprecedented leverage while Fund Vault providers enjoy institutional-grade capital protection. By separating collateral enhancement from exchange execution, LeverAcc maintains full non-custodial security while delivering transformative leverage capabilities.


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