What is right-way risk, and how does beneficial correlation between exposure and counterparty credit quality reduce CVA?

Right-way risk (RWR) occurs when the derivative exposure to a counterparty decreases as that counterparty's credit quality deteriorates, or equivalently, when the exposure increases only when the counterparty is financially strong. This beneficial correlation reduces the expected loss given default and therefore lowers CVA.\n\nThe Intuition:\n\nIn a right-way trade, the counterparty owes you the most money when they are financially healthy (and most likely to pay). When they weaken, the trade moves against you (they owe you less, or you owe them), precisely when default risk is elevated.\n\nConcrete Example:\n\nMeridian Metals is a gold mining company. Ridgewater Bank enters a gold forward contract with Meridian where Meridian agrees to deliver gold at a fixed price of $2,150/oz in 12 months.\n\n`mermaid\ngraph TD\n A[\"Gold Price Rises
to $2,400/oz\"] --> B[\"Ridgewater's exposure:
$2,400 - $2,150 = $250/oz
Meridian owes Ridgewater\"]\n A --> C[\"Meridian's credit:
IMPROVES — gold revenues
surge, margins widen\"]\n B --> D[\"High exposure BUT
low default probability
= Right-Way Risk\"]\n \n E[\"Gold Price Falls
to $1,850/oz\"] --> F[\"Ridgewater's exposure:
$2,150 - $1,850 = $300/oz
Ridgewater owes Meridian\"]\n E --> G[\"Meridian's credit:
DETERIORATES — revenue
drops, margins compressed\"]\n F --> H[\"Low/zero exposure WHEN
default risk is highest
= Beneficial correlation\"]\n`\n\nWhen gold rises, Meridian thrives (record revenues, strong balance sheet) and Ridgewater has positive exposure — but Meridian is least likely to default. When gold falls, Meridian struggles — but Ridgewater's exposure is negative (they owe Meridian money), so a Meridian default would actually relieve Ridgewater of a liability.\n\nImpact on CVA:\n\nStandard CVA assumes independence:\nCVA_independent = sum of DF(t_i) x EE(t_i) x PD(t_i) x LGD\n\nWith right-way risk, the conditional expected exposure given default is lower:\nEE(t | counterparty defaults at t) << EE(t)\n\nWorked Example:\nRidgewater calculates CVA on the Meridian gold forward:\n\n| Metric | Independent Model | Right-Way Adjusted |\n|---|---|---|\n| Expected Exposure at 6M | $3.2 million | $3.2 million |\n| PD at 6M | 0.45% | 0.45% |\n| Conditional EE given default | $3.2 million | $0.9 million |\n| Contribution to CVA | $8,640 | $2,430 |\n\nThe right-way adjustment reduces the 6-month CVA contribution by 72% because the conditional exposure given default is only $0.9 million — reflecting the fact that Meridian would only default when gold is low, at which point Ridgewater's exposure is minimal.\n\nPractical Considerations:\n- Right-way risk is harder to prove than wrong-way risk (regulators are skeptical)\n- Banks cannot unilaterally reduce capital requirements by claiming RWR without robust evidence\n- The correlation must be structural, not just historical\n- Commodity producers in forward contracts are the classic right-way counterparty\n\nPractice CCR modeling in our FRM Part II question bank.