Counterparty Risk and CVA › CVA Desk Operations and Hedging
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Major banks run dedicated CVA desks that centralize counterparty risk management across the institution. These desks serve several functions and represent one of the most significant organizational innovations in risk management following the 2008 crisis.
Pricing and charging: The CVA desk calculates the CVA for new trades and charges business units accordingly. This ensures that you internalize the cost of counterparty risk when pricing deals. Without this internal charging mechanism, you would have incentive to undercut competitors by ignoring credit risk, ultimately accumulating dangerous exposures.
Hedging: CVA can be hedged using credit default swaps on counterparties. By buying CDS protection, we offset losses from counterparty default. However, hedging is imperfect because:
- CDS may not be liquid for all counterparties
- Wrong-way risk creates correlation that CDS doesn't capture
- Market risk in the exposure profile requires additional hedging
P&L explanation: Changes in CVA flow through the income statement. The CVA desk must explain and manage this volatility, which can be substantial during credit market stress. When counterparty credit spreads widen, CVA increases, creating mark-to-market losses even though no default has occurred.
CVA Hedging Strategy
The sensitivity of CVA to CDS spreads (credit delta) can be hedged by trading CDS. The key insight is that CVA behaves approximately like a portfolio of CDS positions, one for each counterparty, with notional amounts proportional to expected exposure.
where:
- : change in CVA with respect to the credit spread
- : credit spread (hazard rate proxy)
This approximation relies on the linear relationship between CVA and credit spreads: since the default probability is roughly proportional to the spread, CVA scales linearly with . Dividing CVA by the spread gives the sensitivity to spread changes.
For our example swap:
# Calculate credit spread sensitivity
spread_bump = 0.0001 # 1 basis point
mpd_up, _ = calculate_default_probabilities(
cds_spread + spread_bump, recovery_rate, times
)
cva_up = calculate_cva(expected_exposure, mpd_up, discount_factors, lgd)
credit_spread_01 = cva_up - cva # CVA change per 1bp spread moveCVA Hedging Metrics ======================================== Credit Spread 01 (CS01): $21.74 To hedge, acquire CDS protection with a sensitivity matching $21.74 per 1bp spread increase
The credit spread sensitivity tells the CVA desk how much CDS protection to purchase. As CDS spreads widen, CVA increases, but the CDS protection pays off, creating an offset. The goal is to match the CS01 of the CVA with the CS01 of the CDS hedge, so that credit spread movements have minimal impact on the combined position.
Regulatory Capital for CVA
Basel III introduced specific capital charges for CVA risk, recognizing that many bank losses during the 2008 crisis came from CVA movements rather than actual defaults. You must hold capital against:
- Credit spread risk: The risk that changes in counterparty credit spreads will move CVA
- Market risk in exposures: The risk that underlying market movements will change exposure profiles
The standardized approach uses a formula based on notional amounts and credit quality, while internal model approaches allow banks to use their own CVA VaR models subject to regulatory approval. The regulatory framework ensures that banks maintain adequate capital buffers against CVA volatility, reducing the risk of capital shortfalls during credit market stress.