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Does Cross-Margining Increase or Decrease the Overall Systemic Risk for the Clearing House?

Cross-margining is generally considered to decrease the overall systemic risk for the clearing house. By allowing traders to use capital more efficiently and requiring less total margin for diversified portfolios, it reduces the likelihood of individual trader defaults due to inefficient capital use.

However, it can increase risk if the correlation assumption between the cross-margined assets breaks down unexpectedly.

How Does the Correlation between Assets Affect the Benefits of Cross-Margining?
What Is the Impact of Correlation between Assets on Portfolio Margin Calculations?
How Does the Correlation between Collateral and the Underlying Derivative Affect the Haircut?
What Are the Initial Margin and Variation Margin, and How Do They Protect the Clearing House?