FRM Exam Part II · Risk Capital Attribution and Risk-Adjusted Performance Measurement

Economic Capital and Risk Capital Concepts for FRM Part II

Updated 11 October 2026 · Fact-checked

Economic capital is the capital a bank needs to absorb unexpected losses at a chosen confidence level over a set horizon, as estimated by its own models. Regulatory capital is the minimum set by supervisors under Basel rules. Risk capital is economic capital used for allocation and performance measurement, typically unexpected loss less expected loss already provisioned.

Understand Economic Capital and Risk Capital Concepts

Start with the problem. A bank takes risk and may lose money. Expected losses are priced into loan spreads and covered by provisions. The danger is unexpected loss: the amount by which a bad outcome exceeds the average. Capital is the cushion that absorbs it so the bank stays solvent.

Economic capital is the bank's own estimate of that cushion. It comes from a loss distribution: pick a confidence level and a horizon, find the loss quantile (a VaR-type figure), and subtract expected loss. Banks usually link the confidence level to a target credit rating. A bank aiming for a very strong rating might use 99.97% over one year. Higher confidence means more capital.

Regulatory capital is the minimum required by supervisors, such as Basel risk-weighted asset rules. It is rule-based, comparable across banks and designed for system safety. Economic capital is model-based and tailored to the bank's own portfolio. The two can differ a lot for the same book. Regulatory capital may be too high for safe assets and too low for risky or concentrated ones. That gap is why banks run both.

Risk capital is the term used when capital is tied to a specific risk-taking activity. It is the capital that a business unit's risk requires, and it is the denominator in measures such as RAROC. Some texts use risk capital and economic capital almost interchangeably. In the exam, read how the question defines it, and note that capital actually held is a separate idea: available capital is what the bank has, and it should exceed required economic capital.

Why allocate capital to business units? To price risk correctly, compare units on a risk-adjusted basis, set limits, reward managers for value created rather than raw profit, and decide where to grow. Allocation needs care because of diversification: the sum of stand-alone capital figures exceeds the bank's total capital, so the benefit must be shared out by a sensible method.

Key formulas to remember

Economic capital (credit-style): Economic capital = Loss quantile at confidence level α − Expected loss (EL); Equals unexpected loss at that confidence level. Some sources measure capital from the quantile alone, so check the definition given.
Expected loss: EL = PD × LGD × EAD; Covered by pricing and provisions, so it is not what capital is held for.
Capital adequacy test: Available capital ≥ Required economic capital; Required capital rises with the confidence level and the horizon.
Diversification benefit: Diversification benefit = Σ stand-alone capital − Total (diversified) capital; Always non-negative for coherent measures; it is zero only if risks are perfectly dependent in the tail.
Capital ratio: Regulatory capital ratio = Eligible regulatory capital ÷ Risk-weighted assets; Regulatory measure; not the same as the economic capital calculation.

How to solve Economic Capital and Risk Capital Concepts questions

Use this method for definition, comparison and calculation questions on capital concepts.

1Identify which capital is asked about: economic, regulatory, risk capital or available capital.
2Note the stated confidence level, horizon and whether expected loss is deducted.
3If a calculation is needed, find the loss at the confidence level, then subtract expected loss if capital covers unexpected loss only.
4For several units, add stand-alone capital figures and compare with the total to get the diversification benefit.
5If the question compares economic and regulatory capital, ask which is model-based (economic) and which is rule-based (regulatory).
6For allocation questions, ask what the purpose is: performance measurement, pricing, limits or incentives.
7Check the answer against the options: capital should rise with confidence level, and diversified capital should not exceed the sum of stand-alone capital.

Quickest way: Three-check shortcut

When to use it: Use for conceptual MCQs when time is short.

Who sets it? Bank's own model means economic capital; supervisor's rule means regulatory capital.
What does it cover? Unexpected loss at a chosen confidence level, not expected loss.
Does the number move the right way? Higher confidence means more capital; diversification means less than the simple sum.

Common mistakes in Economic Capital and Risk Capital Concepts

Saying economic capital is the same as regulatory capital.
Both are called capital and both protect against losses.
Fix: Economic capital is internal and risk-sensitive; regulatory capital is a supervisory minimum. They can differ by portfolio.
Including expected loss in capital by default.
Students equate capital with the full loss quantile.
Fix: Expected loss is covered by pricing and provisions. Capital covers unexpected loss, so subtract EL when the question says so.
Thinking higher confidence level lowers capital.
Confusion between confidence level and tail probability.
Fix: A higher confidence level pushes the quantile further into the tail, which raises the loss figure and the capital.
Assuming allocated unit capital figures add up to total bank capital.
Stand-alone numbers are easy to sum.
Fix: Stand-alone capital sums to more than diversified capital. The difference is the diversification benefit and must be allocated.
Confusing required capital with available capital.
Both appear in capital adequacy discussions.
Fix: Required capital is the risk-based need; available capital is what the bank holds. Adequacy means available is at least required.

Worked examples

Example 1

A bank's one-year credit loss distribution has a 99.9% quantile of USD 480 million. Expected loss is USD 120 million. What is economic capital, defined as unexpected loss at 99.9%?

Show the solution

Economic capital = loss quantile − expected loss.
= 480 − 120.
= USD 360 million.

Answer: USD 360 million

Example 2

A bank has two units with stand-alone economic capital of USD 300 million and USD 200 million. Diversified bank-level economic capital is USD 410 million. What is the diversification benefit, and is available capital of USD 400 million adequate?

Show the solution

Sum of stand-alone capital = 300 + 200 = USD 500 million.
Diversification benefit = 500 − 410 = USD 90 million.
Adequacy test: available capital must be at least required capital.
Available USD 400 million is less than required USD 410 million, so it falls short by USD 10 million.

Answer: Diversification benefit is USD 90 million; available capital of USD 400 million is inadequate by USD 10 million.

Exam tips

Read the definition in the stem. Some questions measure capital as the quantile, others as quantile minus expected loss.
In comparison questions, key words are internal model and risk-sensitive for economic capital, and minimum and rule-based for regulatory capital.
Expect questions linking confidence level to target credit rating and to the amount of capital.
For allocation questions, remember diversification: sums of stand-alone figures overstate total capital.
Name the purpose precisely: pricing, limits, performance measurement and incentives.

Practice questions from Risk Capital Attribution and Risk-Adjusted Performance Measurement

Economic Capital and Risk Capital Concepts in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Economic Capital and Risk Capital Concepts: frequently asked questions

What is the difference between economic capital and regulatory capital?

Economic capital is the bank's own model-based estimate of capital needed to absorb unexpected losses at a chosen confidence level. Regulatory capital is the minimum set by supervisors under Basel rules. The first is risk-sensitive to the bank's portfolio; the second is standardised for comparability and system safety.

What is risk capital in banks?

Risk capital is the capital required to support the risks taken by a business or activity. It is closely tied to economic capital and is used in allocation and in measures such as RAROC. Check how the question defines it, as usage varies slightly.

Does economic capital cover expected loss?

Usually not. Expected loss is covered by pricing and provisions. Economic capital is held for unexpected loss, which is the loss at the chosen confidence level minus expected loss.

Why do banks allocate economic capital to business units?

It lets the bank price risk, compare units on a risk-adjusted basis, set limits and reward managers for value created. Allocation must also deal with diversification, since stand-alone capital figures sum to more than total capital.