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Counterparty Risk

Risk Management · intermediate · CC-BY-4.0

Counterparty risk (also called counterparty credit risk or CCR) is the probability that the other party in a financial contract will default on its contractual obligations before the final settlement of the transaction, resulting in a loss to the surviving party. It is particularly important in OTC derivatives, securities lending, and repurchase agreements, where bilateral contractual exposures accumulate over long time horizons.

Key takeaways

Explanation

Counterparty risk in derivatives arises because OTC contracts typically span months to years, and the winning party on a mark-to-market basis holds an unsecured receivable from the losing party. The exposure is asymmetric and path-dependent: if interest rates move in favor of the fixed-rate receiver on an interest rate swap, the receivable from the fixed-rate payer grows. If the payer subsequently defaults, the receiver loses the economic value of the remaining swap payments — this is 'replacement cost' or current exposure.

The standard metrics for counterparty risk management are:

Expected Exposure (EE_t) = E[max(V_t, 0)] — the expected positive mark-to-market value at time t, where V_t is the portfolio NPV with the counterparty.

Potential Future Exposure (PFE_t) at confidence α = inf{x : P(max(V_t, 0) ≤ x) ≥ α} — the maximum positive exposure at confidence α (typically 95%) at time t.

Expected Positive Exposure (EPE) = (1/T) × ∫₀ᵀ EE_t dt — the average of EE_t over the life of the portfolio.

Credit Valuation Adjustment (CVA) = (1 − R) × ∫₀ᵀ EE(t) × λ(t) × D(t) dt — the risk-neutral expected loss from counterparty default, where R is recovery rate, λ(t) is the counterparty's default hazard rate at time t, and D(t) is the discount factor. CVA represents the mark-to-market value of counterparty risk embedded in a derivatives portfolio and is reported as a P&L adjustment under IFRS 13 and ASC 820.

Collateral agreements (ISDA CSAs) dramatically reduce counterparty risk by requiring the mark-to-market loser to post variation margin daily. However, residual risk remains from the 'gap risk' — the exposure accumulated between the last margining date and the point of default — particularly during periods of rapid market moves. Initial margin, now mandatory for non-cleared OTC derivatives under BCBS/IOSCO rules, provides an additional buffer against gap risk. For cleared derivatives, the CCP collects initial margin from all participants, maintaining a default waterfall (initial margin → default fund → CCP equity) designed to absorb the default of the two largest clearing members simultaneously.

Formula

CVA = (1 − R) × ∫₀ᵀ EE(t) × λ(t) × D(t) dt  |  Current Exposure = max(MTM Value, 0)

Example

A hedge fund holds a 5-year EUR/USD cross-currency basis swap with Bank A (total notional $200 million), in which the fund pays USD SOFR and receives EUR €STER plus a basis spread. The trade is marked to model, currently showing the fund has a receivable from Bank A of $8 million (the trade is in-the-money). Under the bilateral ISDA CSA, Bank A has already posted $8 million in variation margin (U.S. Treasury bills), reducing current net exposure to near zero. However, PFE at 95% confidence over 5 years is $35 million — the maximum exposure the fund might have in a stress scenario. If Bank A's credit spread widens from 80 bps to 200 bps following a ratings downgrade, the CVA on this exposure increases by approximately ($35M × 0.50 average exposure fraction × 1.2% incremental probability of default × 0.40 LGD) = $84,000 — a modest mark-to-market hit but a signal to revisit counterparty concentration limits.

Related terms

Backtesting Basis Basis Swap Clearing Credit Risk Credit Spread Default Equity Hedge Fund In The Money Initial Margin Interest Rate