FRM Exam Part II · Future Value and Exposure
Wrong-Way Risk and Right-Way Risk: General vs Specific Explained
Updated 11 October 2026 · Fact-checked
Wrong-way risk (WWR) arises when exposure to a counterparty rises as its default probability rises. Right-way risk (RWR) is the opposite: exposure falls when default becomes more likely. To solve questions, identify the dependence link, classify it as general or specific, and judge whether CVA and exposure are understated or overstated.
Understand Wrong-Way and Right-Way Risk
Counterparty credit risk depends on two things: how much the counterparty owes you if it defaults (exposure) and how likely it is to default (probability of default). Simple models treat these as independent. Then CVA is roughly the sum over time of expected exposure × default probability × loss given default.
In practice they are often linked. Wrong-way risk means exposure is high when the counterparty is more likely to default. Independence then understates the loss. Right-way risk means exposure is low when default is more likely, so independence overstates the loss.
General wrong-way risk comes from broad macro or market links. Example: a bank buys protection or enters a swap with a counterparty whose credit quality depends on a market factor, such as an oil exporter whose credit worsens when oil falls, while the trade gains for you as oil falls. Specific wrong-way risk comes from a direct legal or structural link between the counterparty and the trade. Examples: a counterparty selling you a CDS on itself or on a related entity, a put option on its own shares, or a repo where the collateral is its own bonds. Specific WWR is usually more severe and can make exposure jump toward the full notional at default.
FX is a classic case. You hold a cross-currency swap or forward with an emerging-market bank where you receive the local currency. If the country is stressed, the local currency falls sharply and the bank's default risk rises together. Your claim, valued in USD, shrinks if you are owed local currency, so that is right-way for you if the exposure is falling. If you are owed USD while the counterparty earns local currency, the USD claim grows as the currency weakens, which is wrong-way. Always check which side you are on.
Collateral can also create WWR. Collateral that is correlated with the counterparty, such as its own debt or its home-country sovereign bonds, loses value just when you need it. Haircuts and margin period of risk then understate the true shortfall.
Modelling approaches: add dependence between exposure and hazard rate in a Monte Carlo simulation (for example, correlate the credit spread process with market risk factors), make the default intensity a function of the exposure or of a market factor, or apply a stress multiplier or add-on to the independent CVA. For specific WWR, treat the exposure at default as a jump, often assuming a loss of the full value of the related instrument. Regulators also require identification of WWR and may apply conservative treatment.
Key formulas to remember
- Independent CVA (discrete approximation)
- CVA ≈ LGD × Σ EE(tᵢ) × PD(tᵢ₋₁, tᵢ)
- Uses discounted expected exposure and assumes exposure and default are independent. WWR makes this too low; RWR makes it too high.
- Wrong-way risk condition
- E[Exposure | default] > E[Exposure]
- Exposure conditional on default exceeds unconditional expected exposure.
- Right-way risk condition
- E[Exposure | default] < E[Exposure]
- Exposure at default is lower than the unconditional expectation.
- Dependence-adjusted CVA idea
- CVA_WWR = LGD × Σ E[Exposure(tᵢ) | default in (tᵢ₋₁, tᵢ)] × PD(tᵢ₋₁, tᵢ)
- Uses conditional exposure. This is the conceptual fix for dependence.
- Alpha-style multiplier
- CVA_adj = α × CVA_independent, with α > 1 for WWR
- A simple conservative adjustment. The value of α is a modelling or regulatory choice, not a universal constant.
How to solve Wrong-Way and Right-Way Risk questions
Use this sequence for any wrong-way or right-way risk question.
- 1Identify the trade, your position (who owes whom) and the counterparty's business or credit drivers.
- 2Find the link: which market factor moves exposure, and does the same factor move the counterparty's credit quality?
- 3Decide the sign: if exposure rises when credit worsens, it is wrong-way. If exposure falls, it is right-way.
- 4Classify the source: broad macro or market dependence is general; a direct legal or structural link to the trade or collateral is specific.
- 5Judge the effect on CVA and exposure measures such as EPE and PFE versus an independence assumption.
- 6Check collateral: is it correlated with the counterparty, and do haircuts or margin period of risk cover a gap?
- 7Name the fix: conditional exposure in simulation, stochastic hazard rates linked to market factors, add-ons, limits, or refusing the trade for specific WWR.
Quickest way: Three-question screen
When to use it: For multiple-choice questions with a short scenario and four options.
- Ask: when the counterparty is in trouble, do I owe less or am I owed more? Owed more means wrong-way.
- Ask: is the link a macro factor (general) or the counterparty's own name, shares, debt or a related entity (specific)?
- Ask: does the stated model assume independence? If so, wrong-way means understated and right-way means overstated.
- Eliminate options that reverse the direction or claim collateral removes WWR when the collateral is the counterparty's own paper.
Common mistakes in Wrong-Way and Right-Way Risk
Calling a trade wrong-way just because the counterparty is risky.
Credit quality and dependence get mixed up.
Fix: WWR needs a link between exposure and default probability. A weak counterparty with independent exposure has no WWR.
Mixing up general and specific WWR.
Both involve correlation, so they look alike.
Fix: Specific means a direct link through the trade or collateral, such as a CDS on the counterparty itself. General means a shared macro or market driver.
Getting the FX direction wrong.
Students look at the weak currency without checking which currency they are owed.
Fix: Work out how your USD claim changes when the local currency falls. If it rises with the counterparty's stress, it is wrong-way.
Assuming collateral always removes WWR.
Collateral is seen as a pure mitigant.
Fix: Collateral correlated with the counterparty, such as its own bonds, loses value at default. Also consider margin period of risk and haircuts.
Saying RWR increases CVA.
Confusing the word 'right' with 'more risk'.
Fix: RWR lowers true CVA relative to an independence model. The independent figure is conservative in that case.
Treating the CVA multiplier as a fixed regulatory fact.
Memorising a number from one source.
Fix: Know the concept: a multiplier above 1 is a crude conservative adjustment. Do not quote a specific value unless the question gives it.
Worked examples
Example 1
A bank enters a forward with a Brazilian corporate in which the bank will receive USD and pay BRL at maturity. The corporate earns revenue in BRL. A sharp BRL depreciation raises the corporate's default probability. Is this wrong-way or right-way risk, and is it general or specific? What happens to CVA from an independent model?
Show the solution
- Position: the bank receives USD and pays BRL. If BRL depreciates, the USD received is worth more in BRL terms and the bank's mark-to-market gain rises. The bank's exposure to the corporate rises.
- Link: the same BRL depreciation increases the corporate's default probability because its revenue is in BRL and its USD obligation becomes more expensive.
- So exposure rises as default probability rises. This is wrong-way risk.
- Source: the link comes from a macro or market factor (the exchange rate), not from a direct tie to the counterparty's own paper. It is general wrong-way risk.
- An independent model uses unconditional expected exposure. Conditional exposure at default is higher, so independent CVA is understated.
Answer: General wrong-way risk; independent CVA is understated.
Example 2
A bank has a repo-style secured loan to a regional bank. The collateral is the regional bank's own senior bonds. Explain the type of WWR and why a standard haircut may be inadequate.
Show the solution
- The collateral is issued by the counterparty. If the counterparty approaches default, the price of its bonds falls sharply.
- So collateral value falls just as exposure net of collateral rises. This is a direct structural link, so it is specific wrong-way risk.
- A standard haircut is calibrated to normal price volatility of comparable bonds. It does not reflect a jump-like fall in value at the counterparty's default.
- Therefore recovery from collateral may be far lower than assumed, and the loss can approach the full uncollateralised exposure.
- Appropriate responses: reject own-name collateral, use a much larger haircut or full loss assumption for that collateral, or require collateral from unrelated issuers.
Answer: Specific wrong-way risk; standard haircuts are inadequate because collateral value collapses at default. Use unrelated collateral or treat the collateral as near worthless.
Exam tips
- Always ask who owes whom first. Many FX questions flip the answer based on the side of the trade.
- Own-name collateral, CDS on the counterparty or related entity, and puts on its own shares are standard specific WWR cues.
- Link the direction to CVA: wrong-way means independent CVA is too low, right-way means it is too high.
- For modelling questions, look for conditional exposure, correlated hazard rates and stressed add-ons. Reject answers that just raise LGD without addressing dependence.
- Read options for absolute words such as always or eliminates. Collateral and netting reduce WWR but rarely remove it.
Practice questions from Future Value and Exposure
- A dealer receives initial margin from a counterparty, segregated with a third-party custodian, in addition to daily variation margin. Compar…
- A bank has two trades with a counterparty under a netting agreement. Trade 1 has an exposure at a future date that is normally distributed w…
- A bank holds a 5-year interest rate swap in which it receives fixed and pays floating, with payments exchanged periodically. Which descripti…
- A bank has a single uncollateralised interest rate swap with a corporate client. Which statement best describes why the expected exposure pr…
- A risk manager compares the exposure profiles of two uncollateralised trades with the same counterparty and same maturity: a 5-year interest…
Wrong-Way and Right-Way Risk: frequently asked questions
What is the difference between wrong-way risk and right-way risk?
Wrong-way risk means exposure is higher when the counterparty is more likely to default. Right-way risk means exposure is lower in that situation. Independent CVA models understate the first and overstate the second.
What is the difference between general and specific wrong-way risk?
General WWR comes from broad macro or market links, such as an exposure and credit quality both driven by commodity prices. Specific WWR comes from a direct link between the counterparty and the trade or collateral, such as a CDS on its own name. Specific WWR is typically more severe.
How do you model wrong-way risk exposure?
Common approaches include correlating credit spreads or hazard rates with market risk factors in Monte Carlo, using conditional exposure at default, and applying stress add-ons or multipliers. For specific WWR, assume a jump in exposure at default, often to the full value of the related instrument.
Why does collateral not always fix wrong-way risk?
If the collateral is correlated with the counterparty, such as its own debt, it loses value when default risk rises. Haircuts based on normal volatility and the margin period of risk may not cover that fall.