Exposure, Loss Given & Probability Defaults

Probability of default (PD), loss given default (LGD) and exposure at default (EAD) are the three building blocks of credit risk measurement. Together they let a bank or lender estimate how much it stands to lose on a loan or portfolio — the foundation of the expected loss calculation that sits at the heart of modern credit-risk management and bank regulation. This guide explains what each component means, how they combine, and why they matter. They're core topics in risk qualifications like the FRM.

The three components of credit risk

When a lender extends credit, it faces the risk that the borrower won't repay. To quantify that risk, the exposure is broken into three measurable parts:

• Probability of default (PD) — the likelihood that a borrower will default over a given period, usually one year. It's expressed as a percentage: a PD of 2% means roughly a 1-in-50 chance of default within the year. PD is estimated from credit ratings, scoring models and historical default data.
• Loss given default (LGD) — the proportion of the exposure a lender expects to lose if the borrower does default, after accounting for any recovery (from collateral, guarantees or the insolvency process). An LGD of 40% means the lender expects to recover 60% and lose 40% of what's owed.
• Exposure at default (EAD) — the total amount the lender is exposed to at the moment of default. For a simple loan this is close to the outstanding balance; for products like credit cards or undrawn facilities, it also estimates how much of an available limit a borrower is likely to have drawn down by the time they default.

How they combine: expected loss

The power of these three measures is that they multiply together to give expected loss — the average loss a lender can anticipate on an exposure:

Expected Loss = PD × LGD × EAD

For example, on a £1,000,000 exposure with a 2% probability of default and a 40% loss given default, the expected loss is 0.02 × 0.40 × £1,000,000 = £8,000. This figure represents the loss the lender should expect on average and typically provisions for as a cost of doing business. Losses beyond this average — unexpected losses — are what capital is held against, a distinction central to bank capital rules.

Why these measures matter

PD, LGD and EAD are not just academic — they drive real decisions:

• Loan pricing. A lender prices a loan to cover its expected loss plus a return, so riskier borrowers (higher PD or LGD) are charged more.
• Provisioning. Accounting standards such as IFRS 9 require lenders to set aside provisions for expected credit losses, built directly on these components.
• Regulatory capital. Under the Basel framework, banks using internal models estimate PD, LGD and EAD to calculate the capital they must hold against credit risk.
• Portfolio management. Aggregating expected losses across many exposures shows where credit risk is concentrated and how it might behave in a downturn.

The challenge of estimating them

Each component is an estimate, and each is sensitive to the economic environment. Default probabilities and recovery rates both worsen in a recession, so a key challenge is that the three are not independent — they tend to deteriorate together precisely when losses bite hardest. Regulators therefore often require "downturn" LGD estimates and stressed PDs, so that capital and provisions are adequate not just in good times but when conditions turn. Sound credit-risk management depends on modelling these measures carefully and revisiting them as conditions change.

Why it matters for finance professionals

Anyone working in banking, credit or risk needs to understand PD, LGD and EAD. They are the common language of credit risk, underpinning everything from how a single loan is priced to how a bank's entire regulatory capital is calculated. Mastering how they fit together — and how they feed the expected-loss equation — is fundamental to credit analysis and a core part of professional risk qualifications.

Frequently asked questions

What are PD, LGD and EAD?

The three components of credit-risk measurement: probability of default (the chance a borrower defaults), loss given default (the share of exposure lost if they do), and exposure at default (the amount at risk at the point of default).

How do they calculate expected loss?

Expected loss is the product of the three: PD × LGD × EAD. It represents the average loss a lender can anticipate on an exposure and typically provisions for.

What is the difference between expected and unexpected loss?

Expected loss is the average loss a lender anticipates and provisions for; unexpected loss is the variation above that average, which banks hold regulatory capital against.

Why do regulators care about these measures?

Under the Basel framework and standards like IFRS 9, PD, LGD and EAD drive how much capital banks must hold and how much they must provision for credit losses — so they are central to financial stability.

Build your credit-risk skills with Learnsignal

PD, LGD and EAD are the foundation of credit risk and bank regulation. Learnsignal's tutor-led courses, including the FRM, develop the risk-management understanding that topics like this build on — with clear teaching that turns technical material into something you can apply.