### Calculate Initial Margin

Source: https://docs.hibachi.xyz/hibachi-docs/trading/margining

Formula for calculating the initial margin required to place an order in the Hibachi system. It depends on the position size and maximum leverage.

```mathematics
net equity = collateral balance + unrealized P&L
Initial margin = position / max leverage
position = quantity * current price
```

--------------------------------

### Calculate Final Funding Rate

Source: https://docs.hibachi.xyz/hibachi-docs/trading/funding

Calculates the final funding rate at the end of an 8-hour interval using the final perpetual index price and the final spot index price.

```math
Funding Rate = (fpi - fsi) / fsi
```

--------------------------------

### Calculate Predicted Funding Rate

Source: https://docs.hibachi.xyz/hibachi-docs/trading/funding

Estimates the predicted funding rate before the end of an 8-hour interval based on the difference between the perpetual index price and the spot index price.

```math
Predicted Funding Rate = (pi - si) / si
```

--------------------------------

### Mark Price Calculation in Hibachi

Source: https://docs.hibachi.xyz/hibachi-docs/trading/pricing

Details the calculation of the Mark Price, which is derived from a combination of spot prices, last trade price, and funding rates. It's used for margining, P&L computation, and funding rates.

```mathematical
MarkPrice=Median(Price1,Price2,LastTradedPrice)
```

```mathematical
Price1=IndexPrice*(1+LastFundingRate*TimeUntilFunding/8)
```

```mathematical
Price2=IndexPrice+MovingAverage(5min)
```

```mathematical
MovingAverage(5min)=MovingAverage((Bid1+Ask1)/2-IndexPrice)
```

--------------------------------

### Calculate Maintenance Margin

Source: https://docs.hibachi.xyz/hibachi-docs/trading/margining

Formula for calculating the maintenance margin. It is determined by the position size and the maintenance margin leverage, which is a multiple of the maximum leverage.

```mathematics
Maintenance margin = position / maintenance margin leverage
```

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