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FRM Part II · FRM Exam Part II

Risk Capital Attribution and Risk-Adjusted Performance Measurement

Risk capital attribution splits a firm's total economic capital across business units, products or positions according to the risk each adds. Risk-adjusted performance measures such as RAROC and EVA then compare returns with that capital. You solve questions by finding capital, computing the return, and comparing it with a hurdle rate.

What this chapter covers

This chapter answers two linked questions. How much capital does a bank need to cover its unexpected losses, and how should that capital be shared among desks, loans and business lines? Once capital is assigned, you can judge each unit by the return it earns on the risk it takes, not just by its raw profit.

You will meet economic capital, which is capital held against unexpected loss at a chosen confidence level, and the methods for allocating it: stand-alone, incremental and marginal or component approaches. Then come the performance measures: RAROC, risk-adjusted return measures, and Economic Value Added. The chapter closes with limits, such as unstable correlations, model risk and the way allocations can distort incentives.

The chapter connects to the rest of Part II. The capital figures rest on market, credit and operational risk measurement, including VaR, expected shortfall, expected and unexpected loss. It also links to risk management in investment management, where return per unit of risk drives decisions. Expect applied, case-style questions that ask you to compute a ratio and then interpret it.

Questions here are compact and calculation-friendly, so they are good marks if your method is clean. They reward understanding of why capital is allocated a certain way, not memorised formulas. The same ideas, such as unexpected loss, diversification and hurdle rates, also support questions in the credit, market and operational risk topics. Time spent here pays back across the whole 80-question paper.

Risk Capital Attribution and Risk-Adjusted Performance Measurement: topics in the order to study them

  1. 1Economic Capital and Risk Capital ConceptsEverything else uses capital as an input, so you must know what it covers, its confidence level and how it differs from regulatory capital.
  2. 2Risk Capital Attribution MethodsYou need to know how total capital is split before you can compute return on any unit's share.
  3. 3RAROC and Risk-Adjusted Performance MeasuresThis uses the attributed capital as the denominator, so it follows attribution directly.
  4. 4Economic Value Added and Shareholder ValueEVA builds on RAROC logic by charging for capital in money terms, so learn it after the ratio approach.
  5. 5Limitations and Implementation Issues in Capital AttributionCritique is easiest once you know the methods and measures it applies to.

How to prepare Risk Capital Attribution and Risk-Adjusted Performance Measurement

Aim to be able to take a business unit's numbers and produce capital, return and a decision, then explain the weak points.

  1. Define economic capital in your own words: unexpected loss at a chosen confidence level, less expected loss, which is covered by pricing and provisions.
  2. Practise the three attribution ideas on a small two-unit example, and note why the parts of stand-alone capital add up to more than the diversified total.
  3. Write the RAROC structure from memory: risk-adjusted return divided by economic capital, with expected loss and costs taken out of revenue.
  4. Compare RAROC with a hurdle rate, then do the same decision using EVA, and check both reach consistent conclusions.
  5. Do timed MCQs on each topic and write one line on why each wrong option is wrong.
  6. Finish with a limitations list: correlation instability, model risk, confidence-level choice, and incentive effects.
  7. Revisit weak areas in the last week with short formula and concept recall rather than new reading.

Common mistakes in Risk Capital Attribution and Risk-Adjusted Performance Measurement

  • Treating expected loss as something capital must cover.

    Fix: Remember that expected loss is a cost of doing business and is taken from income. Capital is for the unexpected part.

  • Adding stand-alone capital figures and calling the total the firm's capital.

    Fix: Check whether the figures are stand-alone or diversified. Summed stand-alone capital is usually higher than diversified capital.

  • Mixing up RAROC and EVA.

    Fix: RAROC is a percentage compared with a hurdle rate. EVA is a currency amount after a capital charge.

  • Using the wrong capital in the denominator, such as regulatory capital when economic capital is given.

    Fix: Underline which capital measure the question uses and apply that one only.

  • Ignoring the limits of attribution when asked for an interpretation.

    Fix: For each method, learn one drawback, such as unstable correlations, order dependence of incremental capital, or distorted incentives.

Last-day revision: Risk Capital Attribution and Risk-Adjusted Performance Measurement

  • Economic capital covers unexpected loss at a chosen confidence level.
  • Expected loss is handled by pricing and provisions, not by capital.
  • Regulatory capital follows Basel rules, while economic capital is the firm's own estimate.
  • Stand-alone capital ignores diversification, so unit figures sum to more than total capital.
  • Diversification benefit is the gap between summed stand-alone capital and diversified firm capital.
  • Marginal or incremental capital measures the change in firm capital when a position is added.
  • Component contributions are built to add up to total firm capital.
  • RAROC = risk-adjusted return ÷ economic capital.
  • Risk-adjusted return is revenue minus costs and expected loss, plus any return on the capital held.
  • Compare RAROC with the hurdle rate; above it creates value.
  • EVA = net operating profit after tax − capital charge, where the charge is cost of capital × capital.
  • Positive EVA means the unit earns more than its cost of capital.

Risk Capital Attribution and Risk-Adjusted Performance Measurement practice questions

Risk Capital Attribution and Risk-Adjusted Performance Measurement in other exams

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

Risk Capital Attribution and Risk-Adjusted Performance Measurement: frequently asked questions

What is the difference between economic capital and regulatory capital?

Economic capital is the firm's own estimate of the capital needed to absorb unexpected losses at a chosen confidence level. Regulatory capital is the amount required by Basel-based rules. They can differ, and questions often ask why.

Why is capital attributed to business units?

Attribution lets a firm judge each unit on return relative to risk and price products accordingly. It also supports limits, incentives and decisions on where to deploy scarce capital.

Is RAROC or EVA better?

Neither is always better. RAROC gives a ratio that is easy to compare with a hurdle rate, while EVA gives a money measure of value created. Used consistently, they should point to the same decision.

How should I prepare this chapter for the FRM Part II exam?

Learn the concepts first, then practise short numerical examples on attribution, RAROC and EVA. Finish with timed MCQs and a list of limitations, because the exam is applied and asks for interpretation.