What is wrong-way risk and can you give concrete examples of how it amplifies credit losses?

Wrong-way risk (WWR) is one of the most insidious risks in counterparty credit management. It occurs when your exposure to a counterparty increases precisely when that counterparty is most likely to default. This positive correlation between exposure and default probability amplifies losses beyond what standard models predict.

Formal Definition:

WWR exists when: Corr(Exposure, PD of counterparty) > 0

Standard CVA models assume exposure and default probability are independent. WWR violates this assumption.

Concrete Examples:

Example 1 — Oil Producer Swap:

Maple Creek Energy, an oil producer, enters a pay-fixed receive-floating commodity swap on crude oil with Clearview Bank. If oil prices crash:

• Maple Creek's revenues collapse (higher PD)
• The swap is deep in-the-money for Clearview (high exposure to Maple Creek)
• Exposure and PD spike together = wrong-way risk

Example 2 — Sovereign CDS:

Clearview Bank buys CDS protection on Brazilian sovereign debt from a Brazilian bank, Banco Meridiano. If Brazil enters a crisis:

• Banco Meridiano's creditworthiness deteriorates (correlated to sovereign)
• The CDS protection becomes very valuable (high exposure)
• The protection seller is least able to pay when you need it most

Example 3 — FX Forward with Emerging Market Counterparty:

A US firm has a forward to buy Turkish lira from an Ankara-based bank. If the lira collapses:

• The forward becomes valuable to the US firm (high exposure)
• The Turkish bank faces capital stress from the currency crisis (high PD)

Right-Way Risk (the opposite):

Corr(Exposure, PD) < 0. Example: an importer buys FX forward from a domestic bank. If the domestic currency strengthens, the forward loses value for the importer (low exposure) while the domestic bank's credit improves.

Quantifying WWR:

The Basel framework requires banks to identify wrong-way risk and either:

1. Apply alpha multiplier of 1.4 to the exposure (standardized)
2. Model exposure and default jointly (advanced approach)

A simple stress approach: increase EAD by a factor reflecting the worst-case correlation:

Adjusted_EAD = EAD x (1 + rho_wwr x Stress_Factor)

Where rho_wwr is the estimated exposure-default correlation.

Why WWR Is Dangerous:

• Standard CVA models assume E[Exposure x 1{default}] = E[Exposure] x PD
• With WWR: E[Exposure x 1{default}] >> E[Exposure] x PD
• The actual expected loss can be 2-5x what the independent model predicts

Key Exam Points:

• Specific WWR: direct relationship between counterparty and underlying (Example 1)
• General WWR: macro factor affects both exposure and creditworthiness (Example 3)
• Always ask: 'When does my counterparty default, and what is my exposure then?'

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