FRM Part II · FRM Exam Part II
Portfolio Performance Evaluation for FRM Part II
Portfolio performance evaluation judges whether a manager's return was good after allowing for risk, benchmark and style. You solve it by picking the right measure (Sharpe, Treynor, information ratio), naming the risk it uses, computing it, and interpreting what it says about skill versus luck.
What this chapter covers
This chapter sits inside the Risk Management and Investment Management topic of FRM Part II. It asks one question: did the manager add value, and how do you know? You answer with risk-adjusted measures, benchmark-relative risk, attribution, style analysis and return measurement.
The chapter is mostly applied. You get a set of returns, betas, volatilities or weights, and you must pick the correct measure and read the result. Questions often ask which measure suits a given investor, or what a number implies about skill.
It links to the rest of the paper in two ways. Tracking error, active risk and benchmark-relative limits connect to market risk measurement and risk budgeting. Factor models and style analysis connect to the factor and portfolio construction material elsewhere in the investment management topic. If you know those links, the chapter feels like one idea seen from several sides.
FRM Part II has 80 equally weighted multiple-choice questions in 4 hours, and each one is worth the same. This chapter gives you formula-driven questions that are quick to answer once you know the method, so they are good value for your time. They also test interpretation, which separates a correct answer from a tempting wrong one. Fast, accurate marks here leave more minutes for long case-style questions in market, credit and operational risk.
Portfolio Performance Evaluation: topics in the order to study them
- 1Risk-Adjusted Performance MeasuresStart here because Sharpe, Treynor, Jensen's alpha and the others are the base vocabulary for every later topic.
- 2Tracking Error and Benchmark-Relative RiskNext, move from total risk to active risk, which gives you the denominator of the information ratio.
- 3Performance Attribution AnalysisOnce you know active return and active risk, learn to split active return into allocation, selection and interaction effects.
- 4Benchmarking and Style AnalysisThis explains what a fair benchmark is and how style regression infers one, which makes attribution results meaningful.
- 5Return Measurement and Manager Skill EvaluationFinish with time-weighted versus money-weighted returns and the statistics of skill, which pull all earlier measures together.
How to prepare Portfolio Performance Evaluation
Treat this chapter as a toolkit. Each measure answers a different question, so your job is matching tool to question.
- Write one formula card per measure: Sharpe = (Rp − Rf) ÷ σp, Treynor = (Rp − Rf) ÷ βp, information ratio = active return ÷ tracking error. Note the risk each one uses.
- Learn the decision rule for each: Sharpe for a whole portfolio, Treynor for a diversified part of a larger portfolio, information ratio for benchmark-relative mandates.
- Practise tracking error from active returns and from active weights, and always check the units and whether figures are annual.
- Do attribution by hand on a two- or three-sector example until allocation, selection and interaction effects sum to the total active return.
- Review style analysis and benchmark quality criteria in words, since these are tested as concept questions.
- Finish with timed mixed sets. After each answer, say why the other three options are wrong.
Common mistakes in Portfolio Performance Evaluation
Using Sharpe when Treynor is the right measure, or the reverse.
Fix: Ask first whether the portfolio is the investor's whole holding (Sharpe) or one diversified piece of a larger portfolio (Treynor).
Confusing tracking error with average active return.
Fix: Remember that tracking error is a standard deviation, a measure of spread. Average active return is the numerator of the information ratio.
Mixing annual and monthly figures in a ratio.
Fix: Convert everything to one horizon first. Scale volatility by √time, and returns by time.
Attribution effects that do not add up to the active return.
Fix: Compute all three effects and check that their sum equals total active return before choosing an answer.
Treating a high ratio as proof of skill.
Fix: Look at the number of observations and consider statistical significance before concluding skill.
Using money-weighted return to judge a manager.
Fix: Use time-weighted return for manager evaluation because the manager does not control client cash flows.
Last-day revision: Portfolio Performance Evaluation
- Sharpe ratio = (Rp − Rf) ÷ σp. It uses total risk.
- Treynor ratio = (Rp − Rf) ÷ βp. It uses systematic risk only.
- Jensen's alpha = Rp − [Rf + β(Rm − Rf)].
- Information ratio = (Rp − Rb) ÷ tracking error.
- Tracking error is the standard deviation of active returns, not their average.
- Active return = portfolio return − benchmark return.
- Attribution splits active return into allocation, selection and interaction effects.
- Time-weighted return removes the effect of cash flow timing, so it suits judging a manager.
- Money-weighted return (IRR) reflects the investor's timing of flows.
- A good benchmark is unambiguous, investable, measurable, appropriate and specified in advance.
- A high ratio over a short sample can be luck, so check the number of observations.
Portfolio Performance Evaluation practice questions
- A portfolio earned 14% in a year. Its beta was 1.5, the risk-free rate was 2%, and the market return was 10%. What is the Treynor ratio?
- A portfolio manager's benchmark has a 60% weight in equities and 40% in bonds. The actual portfolio holds 70% in equities and 30% in bonds. …
- Which is a recognized limitation of returns-based style analysis compared with holdings-based style analysis?
- An analyst reports a manager's alpha of 2% per year with a standard error of 1.5% from 60 monthly observations. Which conclusion is most app…
- A portfolio manager's equity portfolio is benchmarked to a broad index. In a Brinson-Fachler style attribution, the manager overweights a se…
- A portfolio manager earns an active return of 2.4% per year over her benchmark, and the annualized standard deviation of her active returns …
- A manager's rolling 36-month style analysis shows the weight in small-cap growth rising from 10% to 45% over three years, while the fund's s…
- A portfolio manager's equity portfolio is benchmarked to an index. In a Brinson-Fachler style attribution, the manager overweights a sector …
Portfolio Performance Evaluation in other exams
The same ground in other exams, if you are preparing for more than one or want another angle on it.
Portfolio Performance Evaluation: frequently asked questions
Which measure should I use, Sharpe or Treynor?
Use Sharpe when the portfolio is the investor's entire holding, because total risk matters. Use Treynor when the portfolio is one diversified part of a larger portfolio, because only systematic risk matters.
How is tracking error different from the information ratio?
Tracking error is the standard deviation of the portfolio's active returns against its benchmark. The information ratio divides average active return by that tracking error, so it shows return earned per unit of active risk.
Is time-weighted or money-weighted return better for judging a manager?
Time-weighted return is the standard choice, since it removes the effect of client deposits and withdrawals that the manager does not control. Money-weighted return shows what the investor actually earned given the timing of their flows.
How much of FRM Part II is this chapter?
GARP does not give a fixed share for each chapter in this guide, so do not rely on a number. All 80 questions carry equal weight, and this chapter's questions are usually quick to solve once you know the methods.