Leverage

Amplifying trading potential and maximizing returns through margin trading

Margin Requirements

Opening and maintaining a position on Carbon derivatives market allows for the use of leverage. Users can allocate as much margin or as little margin as they wish for each position, up to the margin requirements stated below.

As Carbon currently allows for isolated margin (only), positions on each market is margined separately. Liquidations therefore only affect a single market / position at a time.

There are two types of margin requirements for each market - Initial Margin and Maintenance Margin. They differ for each market and can be derived from the market parameters in GET Markets. The following describes how to calculate each margin requirement based on the market parameters.

Initial Margin

Intital margin is the amount of collateral required to open (or increase) a position.

This margin requirement is based on a fraction (IMF) of the position value:

InitialMargin = IMF * Position Size * Entry Price

The initial margin fraction (IMF) is given by:

IMF = initial_margin_base + floor(Position Size / risk_step_size) * initial_margin_step

The underscored parameters can be found in GET Markets.

Example

For a BTC perp where:

# https://api.carbon.network/carbon/market/v1/markets/cmkt%252F118
risk_step_size = 0.1 # this is in human decimals (i.e. 0.1 BTC). Add &raw=true to the above request for raw values.
initial_margin_base = 0.01 # this is a fraction
initial_margin_step = 0.000005 # this is a fraction

Opening a 10 BTC long position at $30,000 will require:

(0.01 + floor(10 / 0.1) * 0.000005) * 10 * 30,000 = 3,150 USDC

This gives an effective leverage of: 300,000 / 3,150 = 95.23x

One can quickly find that 1 / initial_margin_base is the maximium leverage for a market (for position sizes that are smaller than risk_step_size).

For the example above, that would be 1 / 0.01 = 100x.

Maintenance Margin

Maintenance margin is the amount of collateral required to hold a position open.

If the effective margin (allocated margin + unrealized PnL) of a position drops below the required maintenance margin, the position will be liquidated according to the rules here.

This margin requirement is based on a fraction of the initial margin requirement for a position:

MaintenanceMargin = InitialMargin * maintenance_margin_ratio.

The maintenance_margin_ratio can be found in GET Markets.

Example

For a BTC perp where:

# GET https://api.carbon.network/carbon/market/v1/markets/cmkt%252F118
risk_step_size = 0.1 # this is in human decimals (i.e. 0.1 BTC). Add &raw=true to the above request for raw values.
initial_margin_base = 0.01 # this is a fraction
initial_margin_step = 0.000005 # this is a fraction
maintenance_margin_ratio = 0.7 # this is a fraction

Opening a 10 BTC long position at $30,000 will require:

(0.01 + floor(10 / 0.1) * 0.000005) * 10 * 30,000 = 3,150 USDC

Maintaining this position requires that:

InitialMargin + Unrealized PnL > (3,150 * 0.7 = 2,205 USDC)

Assuming the user opens this position at maximum leverage (allocated margin = initial margin = 3,150), then the user's position will be liquidated if the market moves against them such that they incurs more than 3,150 - 2,205 = 945 USDC of unrealized losses.

This entails the user's position being taken over by the liquidation engine, and the user will lose the full allocated margin for this position. See the Liquidation section for the full liquidation procedure.

For the above example, this will occur when the Mark Price of the market reaches (10 * $30,000 - 945) / 10 = $29,905.50.

Users can protect this position by manually adding more margin or decreasing their leverage for the market, such that their allocated margin increases above the maintenance margin requirements.

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