Maximum Open Position Size in Cross Margin Mode

Unlike in Isolated Margin Mode, the max open position size in Cross Margin Mode is no longer restricted by risk limit tiers. Instead, it depends on multiple factors such as the total margin available in the futures account, leverage multiple, and order price. Simply put, the higher the chosen leverage multiple, the larger the size of your openable positions. This differs from Isolated Margin Mode, where selecting a higher leverage multiple leads to smaller openable positions.

1. Calculation Formula
For Forward Contracts: Max Open Position Size = k * ln((C - F) * Lev / p / k + 1)
For Inverse Contracts: Max Open Position Size = k * ln((C - F) * x * p / k + 1)
C: Your total margin in Cross Margin Mode is the futures account balance minus the margin allocated to isolated-margin positions. If no isolated-margin positions exist, the entire account balance serves as the total margin.
F: The funds allocated to positions and pending orders in other futures contracts, excluding the current contract. After subtracting this amount from the total margin, the remaining margin becomes what is available for the current contract.
Lev: The leverage multiple used.
P: The approximate order price, with the actual calculation factoring in the order book and fee rate.
K: The amplification factor, which ensures that with the same available margin, the size of openable positions increase as the leverage multiple chosen increases, though at a decreasing rate. The K value is determined and adjusted by the platform based on the specifics of each contract.
Example for forward contracts: Suppose you are buying a BTC/USDT contract at a price of 60,000 USDT with a leverage of 10x, your futures account balance is 100,000 USDT, and there are no other pending orders or positions. The K value for the BTC/USDT contract is 490. As such, your maximum open position size = 490 * ln(100,000 * 10 / 60,000 / 490 + 1) = 16.39 BTC

2. More Scenarios
To calculate the maximum open position size, subtract positions and pending orders in the same direction (whether long or short) as the new order, and add positions in the opposite direction.
For Forward Contracts: Max Open Position Size = k * ln((C - F) * Lev / p / k + 1), adjusted by subtracting positions and open orders in the same direction as the trade, and adding positions in the opposite direction.
For Inverse Contracts: Max Open Position Size = k * ln((C - F) * x * p / k + 1), adjusted by subtracting positions and open orders in the same direction as the trade, and adding positions in the opposite direction.
Example: Continuing from the previous forward contract example, if the calculated maximum open position size for going long is 16.39 BTC, but you already hold 10 BTC in long positions, the maximum amount you can open for a new long order is: 16.39 - 10 = 6.39 BTC. Similarly, if you already hold 10 BTC in long positions and have pending buy orders for 2 BTC, when placing a new buy order, the openable position size would be: 16.39 - 10 - 2 = 4.39 BTC. Additionally, if the calculated maximum short position size is 16 BTC, but you already hold 10 BTC in long positions, the maximum amount you can open for a new short order is: 16 + 10 = 26 BTC

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