FRM Exam Part II · Derivatives

Wrong-Way Risk and Right-Way Risk: Meaning, Examples and CVA Impact

Updated 11 October 2026 · Fact-checked

Wrong-way risk (WWR) arises when exposure to a counterparty rises as its credit quality falls, so losses at default are larger than independence implies. Right-way risk is the opposite: exposure falls as credit quality worsens. To solve questions, identify the dependence link, its direction, and the effect on exposure, CVA and capital.

Understand Wrong-Way and Right-Way Risk

Standard counterparty risk models treat exposure and default probability as independent. Then expected loss is roughly exposure × PD × LGD. In reality the two often move together. Dependence between them is the core of this topic.

Wrong-way risk exists when exposure to a counterparty is adversely correlated with its credit quality. Exposure is high exactly when the counterparty is most likely to default. Example: you buy a put option on a bank's shares from that same bank. If the bank's shares fall, the put gains value (your exposure rises) and the bank is more likely to default.

Right-way risk exists when exposure moves inversely to the counterparty's default risk: exposure falls as the counterparty's credit quality worsens. Example: you agree to buy oil at a fixed price from an oil producer through a forward contract. If oil prices fall, the forward loses value to you, so your exposure falls. Low oil prices also hurt the producer's credit. Your exposure is lowest when its default risk is highest. Ignoring right-way risk overstates risk.

There are two types. Specific wrong-way risk comes from a direct, trade-specific link between the exposure and the counterparty itself or a legally or structurally linked affiliate. Examples are a counterparty selling you a CDS on itself or on its parent or subsidiary, or posting its own shares or debt as collateral. General wrong-way risk comes from a broader macro or market link, such as a counterparty whose credit deteriorates when interest rates, FX rates or commodity prices move in a way that raises your exposure. High correlation without a direct legal or structural link is also general wrong-way risk. For example, a CDS bought from a counterparty that is merely highly correlated with the reference entity is general wrong-way risk. The link is looser and statistical.

For CVA, WWR means the exposure is larger in the states where default is likely. Computing CVA with independent exposure and PD understates it. Modelling uses a stochastic link: correlate the hazard rate with the exposure drivers in the Monte Carlo simulation, or condition exposure on default. Management uses limits, collateral not correlated with the counterparty, avoiding self-referencing trades, and stress tests.

Key formulas to remember

CVA under independence: CVA ≈ LGD × Σ EE(tᵢ) × PD(tᵢ₋₁, tᵢ) × DF(tᵢ); Uses expected exposure EE, the marginal default probability in each period and discounting. Assumes exposure and default are independent.
Wrong-way effect on exposure: E[Exposure | default] > E[Exposure] under WWR; Conditional exposure at default exceeds unconditional exposure. Under right-way risk the inequality reverses.
Direction of dependence: WWR: exposure ↑ as credit quality ↓; RWR: exposure ↓ as credit quality ↓; Use this to classify any scenario quickly.
Exposure at default multiplier (alpha): EAD = α × Effective EPE, with α = 1.4 as the supervisory default under the internal model method; Supervisors may allow a bank's own alpha estimate, subject to a floor of 1.2. Alpha reflects wrong-way risk, model uncertainty and portfolio granularity, among other factors. It is not a pure wrong-way risk adjustment.

How to solve Wrong-Way and Right-Way Risk questions

Use this sequence for any scenario or numeric question on wrong-way or right-way risk.

1Identify the counterparty and what drives your exposure to it (price of an underlying, a collateral asset, a reference entity).
2Ask whether the exposure driver is linked to the counterparty's own credit. A direct, legal or structural link means specific; a market or macro link means general.
3Determine the direction. Does exposure rise when credit quality falls (wrong-way) or fall (right-way)?
4State the effect on expected exposure at default compared with the independence assumption, and so on CVA and capital.
5If numbers are given, compute the base figure first, then apply the stressed or conditional exposure to show the increase.
6Name the mitigant: avoid the trade, change collateral, add limits, require more margin, or model dependence explicitly.
7Check that your answer matches the question's wording (type, direction, or effect) before choosing.

Quickest way: Three-question classification

When to use it: For multiple-choice scenarios where you must label the risk or pick its effect.

Is the link direct to the counterparty itself (own shares, own debt, its own reference entity)? If yes, specific WWR.
If the link runs through a market variable such as rates, FX or commodity prices, it is general WWR.
If exposure drops when the counterparty weakens, it is right-way risk.
Then remember: WWR raises CVA and exposure at default versus independence; RWR lowers them.

Common mistakes in Wrong-Way and Right-Way Risk

Treating any correlation between market variables and credit as specific WWR.
Both types involve dependence, so they blur together.
Fix: Specific needs a direct trade-level link to the counterparty itself or a legally or structurally linked affiliate. Macro, market or purely statistical links are general.
Saying wrong-way risk lowers CVA.
Confusing diversification benefits with adverse dependence.
Fix: WWR raises exposure when default is likely, so CVA computed with independence is understated.
Defining right-way risk as simply 'no wrong-way risk'.
The term is easily read as the absence of wrong-way risk.
Fix: Right-way risk is when exposure and the counterparty's default probability are negatively related: exposure falls as default risk rises, lowering expected loss versus independence.
Accepting a counterparty's own bonds or shares as good collateral.
Collateral looks liquid and valuable in normal times.
Fix: Its value falls when the counterparty nears default. This is specific WWR, so apply large haircuts or reject it.
Assuming a netting or collateral agreement removes WWR.
These mitigants reduce exposure in general.
Fix: They help, but if collateral is correlated with the counterparty, or margin calls cannot be met in stress, WWR remains.

Worked examples

Example 1

A bank buys a put option on a Bank X share from Bank X itself. Classify the risk and explain the effect on CVA.

Show the solution

The exposure driver is Bank X's share price, which is directly tied to Bank X's creditworthiness.
If Bank X's share price falls, the put gains value, so the bank's exposure to Bank X rises.
The same fall signals higher default probability for Bank X.
Exposure rises as credit quality falls, and the link is direct to the counterparty itself.
Independent-model CVA understates the true figure because exposure at default is higher than expected exposure.

Answer: Specific wrong-way risk; CVA computed under independence is understated.

Example 2

Expected exposure to a counterparty is ₹10,00,00,000 at a single horizon, the marginal PD is 2%, LGD is 60%, and discounting is ignored. Under wrong-way risk, the exposure conditional on default is estimated at ₹15,00,00,000. Find CVA under independence and with wrong-way risk.

Show the solution

Independent CVA = LGD × EE × PD = 0.60 × ₹10,00,00,000 × 0.02.
0.60 × 10,00,00,000 = ₹6,00,00,000; × 0.02 = ₹12,00,000.
Wrong-way CVA uses conditional exposure: 0.60 × ₹15,00,00,000 × 0.02.
0.60 × 15,00,00,000 = ₹9,00,00,000; × 0.02 = ₹18,00,000.
Increase = ₹18,00,000 − ₹12,00,000 = ₹6,00,000, which is 50% higher.

Answer: Independent CVA is ₹12,00,000; with wrong-way risk it is ₹18,00,000, an increase of ₹6,00,000.

Exam tips

Read the scenario for who issues the collateral or reference entity. A self-referencing link points to specific WWR.
Questions often ask for the effect on CVA or exposure. Wrong-way means higher, right-way means lower, compared with independence.
Expect mitigation questions: the best answers remove the link, such as uncorrelated collateral, rather than just adding more of the same.
In numeric items, keep the same LGD and PD and change only the exposure, then compare.

Practice questions from Derivatives

Wrong-Way and Right-Way Risk: frequently asked questions

What is the difference between general and specific wrong-way risk?

Specific wrong-way risk comes from a direct link between the trade and the counterparty or its legally linked affiliate, such as the counterparty selling protection on itself or on its parent. General wrong-way risk comes from broader market or macro dependence, such as rate or commodity moves that raise exposure and weaken the counterparty at once.

How does wrong-way risk affect CVA?

It increases CVA. Exposure is higher in the scenarios where default is more likely, so a CVA built on independent exposure and default probability understates the true charge.

What is right-way risk?

Right-way risk occurs when exposure to a counterparty falls as its credit quality worsens. Expected loss is then lower than an independence-based estimate suggests.

Give examples of wrong-way risk for FRM Part II.

Specific examples: buying a put on a bank's shares from that bank, buying a CDS from the reference entity itself or from its parent or subsidiary, and accepting a counterparty's own debt as collateral. A general example: buying a CDS from a counterparty that is merely highly correlated with the reference entity, where the link is statistical rather than direct.