


\(haircut = \Phi^{-1}(\alpha) \times \sigma_m \times \sqrt{\tau}\)
where
\(\Phi^{-1}(\alpha)\) defines the number of standard deviations the haircut needs to cover involving the cumulative inverse normal distribution function and the confidence level \(\alpha\)(e.g. 99%).
\(\sigma_m\) is the volatility of the margin, and
\(\tau\) is the liquidation time




Margin refers to collateral posted to reduce counterparty risk in OTC derivatives. It ensures that a party with negative exposure supports that risk with collateral.
A CSA is a document appended to the ISDA Master Agreement, outlining the terms of margin posting, including thresholds, haircuts, and eligible collateral types. What is the difference between initial margin and variation margin? Initial margin is a safety cushion posted upfront to cover potential risks, while variation margin reflects changes in the portfolio's current mark-to-market value.
A haircut is a reduction in the value of posted collateral, accounting for potential price volatility between margin calls and liquidation.
Rehypothecation allows the collateral receiver to reuse the margin for other transactions, reducing funding costs but increasing counterparty risk.
Margin calls occur when the value of a portfolio changes, requiring one party to post or return collateral to maintain the agreed margin requirements.
Collateralization introduces liquidity, operational, market, legal, and funding risks, as managing and liquidating collateral can become complex during defaults.
The minimum transfer amount defines the smallest amount of collateral that must be transferred, minimizing operational costs associated with frequent small transfers.
CSAs can be two-way (both parties post collateral) or one-way (only one party posts collateral, common for high-quality entities like sovereigns).
MPoR is the time between a margin call and the liquidation or replacement of the underlying portfolio in the event of a counterparty default.