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FRM Part II · FRM Exam Part II

Factors for FRM Part II: Chapter Study Guide

Factors are common drivers of return and risk across many assets, such as market, value, momentum, size, quality and low volatility. A security's return is modelled as exposure (beta) times factor return, plus a specific residual. To solve questions, identify the model, read the betas, compute expected return or variance, then interpret the result.

What this chapter covers

This chapter is about explaining returns through a small set of common drivers instead of asset by asset. It starts with the CAPM, where one factor, the market, prices all assets. It then moves to multifactor models such as Fama-French and macroeconomic factor models. Next come the style factors, how they are built into portfolios, and how you measure factor risk and attribute performance.

The idea is simple. Return = α + Σ (βk × factor return k) + residual. Once you see that, most questions are about reading betas, computing an expected return or a variance split, and judging what the numbers mean for a portfolio.

It connects to the rest of the paper in several ways. Market risk chapters use factor models to decompose portfolio risk and to build VaR. Risk management in investment management uses the same tools for benchmarking, active risk and manager evaluation. Credit and liquidity questions sometimes use systematic factors too. Expect applied, case-like MCQs where you must interpret an output, not just recall a definition.

Factor questions are applied and often multi-step, so they reward candidates who understand the logic rather than memorise definitions. The chapter sits inside the investment management topic, and the same ideas of systematic versus specific risk, active exposure and attribution appear in other parts of the paper. A few hours spent getting the beta, alpha and variance decomposition mechanics right pay off across many questions, and the numerical ones are usually quick once the setup is clear.

Factors: topics in the order to study them

  1. 1Factor Theory and the CAPMStart here because the CAPM is the one-factor base case: beta, the security market line, alpha and systematic versus idiosyncratic risk.
  2. 2Fama-French and Macroeconomic Factor ModelsExtend the one-factor idea to several factors, and learn how regression betas and factor premiums give expected returns.
  3. 3Style Factors: Value, Momentum, Size, Quality, Low VolatilityNow put names and economic or behavioural rationales to the factors you have been modelling, including their risks and bad periods.
  4. 4Factor Portfolio Construction and Smart BetaOnce you know the factors, learn how to capture them: long-only versus long-short, weighting, turnover, costs and capacity.
  5. 5Factor Risk, Performance Attribution and DiversificationFinish with measurement: split risk and return into factor and specific parts, and see how factors diversify or crowd together.

How to prepare Factors

Treat this chapter as one model viewed from five angles. Build the mechanics first, then the interpretation.

  1. Write the general factor model on one line and re-derive the CAPM as the single-factor special case.
  2. Practise expected return questions: risk-free rate plus each beta times its factor premium. Do ten until they take under a minute.
  3. Learn variance decomposition: factor variance from betas and factor covariances, plus specific variance. Check whether a question asks for variance or volatility.
  4. For each style factor, memorise a one-line rationale, a typical risk, and the conditions in which it tends to suffer.
  5. Compare long-only smart beta with long-short factor portfolios, and note trade-offs in cost, turnover, capacity and unintended exposures.
  6. Practise attribution questions: given exposures and factor returns, compute each factor's contribution and the residual alpha.
  7. Finish with timed mixed MCQs and review every miss by asking whether it was a formula slip, a definition gap or a reading error.

Common mistakes in Factors

  • Mixing up factor premium and factor return

    Fix: Use the premium (expected excess return) for expected return questions and the realised factor return for attribution of past performance.

  • Forgetting to subtract the risk-free rate in the CAPM

    Fix: Always multiply beta by the market excess return, then add the risk-free rate back.

  • Reporting variance when volatility is asked, or the reverse

    Fix: Take the square root at the end whenever the question asks for standard deviation or tracking error.

  • Treating alpha as skill without checking the factor model

    Fix: Ask which factors the model includes; alpha is only what that model leaves unexplained.

  • Assuming smart beta removes market risk

    Fix: Remember most smart beta funds are long-only and still carry large market beta plus tilts.

  • Memorising factor names without their risks

    Fix: For every factor, note when it underperforms and why, since applied questions often test that.

Last-day revision: Factors

  • CAPM: E(Ri) = Rf + βi × [E(Rm) − Rf].
  • Beta = Cov(Ri, Rm) ÷ Var(Rm).
  • Alpha is return in excess of what the factor exposures explain.
  • Multifactor: E(R) = Rf + Σ βk × λk, where λk is the factor premium.
  • Total variance = systematic (factor) variance + specific variance, when residuals are uncorrelated with factors.
  • Fama-French three factors: market, size (SMB) and value (HML).
  • Value buys cheap stocks on fundamentals; momentum buys recent winners and sells losers.
  • Momentum can suffer sharp crashes after market reversals.
  • Low volatility strategies often carry hidden sector and interest rate exposure.
  • Smart beta changes the weighting rule but usually stays long-only, so it keeps market beta.
  • Factor returns are time-varying and can be crowded; diversification across factors helps but correlations rise in stress.
  • Attribution contribution = exposure × factor return; what is left over is specific return.

Factors practice questions

Factors in other exams

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

Factors: frequently asked questions

What topics does the Factors chapter cover in FRM Part II?

It covers factor theory and the CAPM, Fama-French and macroeconomic models, style factors, factor portfolio construction and smart beta, and factor risk with attribution and diversification. It belongs to the Risk Management and Investment Management topic.

How should I split my time between formulas and concepts?

Lean on both. The formulas are few and quick to learn, so spend extra time on interpretation, such as what a beta, an alpha or a variance split means for a portfolio. Applied MCQs usually test the reading of the result.

Do I need to memorise historical factor premiums?

No. Focus on the direction, the rationale and the risks of each factor. Questions give you the numbers you need to compute with.

Is this chapter hard to score on?

It is manageable if you practise the calculations. The maths is mostly multiplication and addition of betas and premiums, and the concepts connect tightly, so steady practice works well.