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BAFI 6010 Chap.8 Mutual Fund Analysis (Part 1)

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Chapter 8 of 10 · BAFI 6010

Mutual Fund Analysis (Part 1)

Topic 8 turns the performance-measure and attribution toolkit from earlier in BAFI 6010 loose on real US mutual funds (from LSEG/Refinitiv and Morningstar data) to answer one practical question: which manager deserves an active fee, and which is a closet indexer? Part 1 is the quantitative screen — risk-adjusted ratios (Sharpe, Treynor, information ratio), alpha/beta/R², capture ratios and drawdown, plus Active Share and quartile/peer ranking.

The recurring exam skill is judgement: rank funds on risk-adjusted, net-of-fee numbers and pick the reliable, cheaper manager — not the biggest headline alpha.

In this chapter

What this chapter covers

  • 01

    Applying the toolkit — Topic-7 measures (alpha, beta, R², ratios, drawdown) run on real funds

  • 02

    Absolute vs relative measures — Sharpe/SD/VaR/drawdown vs beta/R²/tracking error/information ratio

  • 03

    Alpha, beta and the tracking-error band — alpha = SML intercept, TE = scatter around the line

  • 04

    Information ratio — IR = alpha ÷ tracking error, the single best measure of active skill

  • 05

    Active Share = ½ Σ |w_Fund,i − w_BM,i| — how active a portfolio is (evidence as predictor is MIXED)

  • 06

    Capture ratios & R² — want >100 upside / <100 downside; high R² flags an index-like fund

  • 07

    Quartile & percentile peer ranking — Q1 = top 25%; low percentile = good; consistency across horizons

  • 08

    Active vs passive — pay only for significant, net-of-fee alpha; spot the closet indexer

Worked example · free

Selecting a fund on risk-adjusted ratios and alpha reliability

Q [6 marks]. Two funds are shortlisted for a core large-cap sleeve. Risk-free = 3.0%. Fund A: excess return (r̄ − rf) = 11.2%, volatility 14.0%, beta 1.00, alpha 1.5% (p-value 0.10), tracking error 3%, MER 0.60%. Fund B: excess return 9.6%, volatility 12.0%, beta 0.80, alpha 2.6% (p-value 0.45), tracking error 6.5%, MER 1.15%. Compute the Sharpe, Treynor and information ratios, then decide which fund shows better skill and should be selected.
N1 · Information ratio = active return / active riskThe single best measure of active skill.The single best measure of active skill. The information ratio divides the active return (alpha, the return earned above the benchmark) by the active risk (tracking error, the volatility of the fund’s deviation from that benchmark). A manager with a high IR is generating outperformance efficiently, without taking wild bets away from the mandate — which is exactly what a fund-selection committee isactive return — alphareturn earned ABOVE the benchmarkactive risk — tracking errorSD of (fund − benchmark) return=IRskill per unitof active risk
The single best measure of active skill. The information ratio divides the active return (alpha, the return earned above the benchmark) by the active risk (tracking error, the volatility of the fund’s deviation from that benchmark). A manager with a high IR is generating outperformance efficiently, without taking wild bets away from the mandate — which is exactly what a fund-selection committee is paying an active fee to buy.
  • +1Sharpe = (r̄ − rf) / σ: A = 11.2/14.0 = 0.80; B = 9.6/12.0 = 0.80 — a dead tie.
  • +1Treynor = (r̄ − rf) / β: A = 11.2/1.00 = 11.2; B = 9.6/0.80 = 12.0 — B marginally higher.
  • +1Information ratio = alpha / TE: A = 1.5/3 = 0.50; B = 2.6/6.5 = 0.40 — A is higher.
  • +1Read the numbers: on IR, Fund A earns more skill per unit of active risk. B's bigger headline alpha (2.6% vs 1.5%) has a p-value of 0.45 — statistically insignificant, so it may be luck.
  • +1A's alpha is a stronger signal (p-value 0.10), its fee is nearly half (0.60% vs 1.15%), and its tighter tracking error suits a core sleeve.
  • +1Select Fund A — higher information ratio, more reliable alpha, lower fee drag; B's large alpha is unreliable and comes with more than double the active risk and cost.
Sharpe tied at 0.80; Treynor 11.2 vs 12.0; information ratio 0.50 vs 0.40. Choose Fund A — it wins on the information ratio, its alpha is more statistically reliable (lower p-value), and it is materially cheaper. A big but insignificant alpha (Fund B) is the classic trap answer.
Sia tip — When funds tie on the headline ratios, break the tie on three things: the information ratio (skill per unit of active risk), the statistical significance of alpha (low p-value), and net-of-fee cost plus the role in the portfolio (low tracking error for a core sleeve). Never rank funds on raw return alone.
Glossary

Key terms

Active Share
The fraction of a fund's holdings that differ from its benchmark, Active Share = ½ Σ |w_Fund,i − w_BM,i|. Near 0% for an index fund, toward 100% for a fund sharing no names with its benchmark. It measures how ACTIVE a fund is — not how good; the course stresses the evidence that it predicts outperformance is mixed.
Information ratio (IR)
Active return divided by active risk, IR = alpha / tracking error. The single best measure of active skill: it rewards outperformance earned efficiently, without wild deviations from the benchmark.
Tracking error (TE)
The standard deviation of the fund's return minus its benchmark's return — a relative (benchmark-dependent) risk measure. Passive funds keep it tiny; a large TE means the manager is running a lot of active risk.
R²
The proportion of a fund's return variance explained by its benchmark. High R² means index-like behaviour — a warning sign for an ACTIVE fund, because it can indicate closet indexing.
Capture ratio
The fund's return as a percentage of the benchmark's in up markets (up-capture) or down markets (down-capture). A skilled fund wants up-capture above 100 and down-capture below 100.
Quartile / percentile rank
A fund's standing within its peer category. Q1 is the top 25%, Q4 the bottom 25%. In Morningstar convention a LOW percentile is good — 1st percentile is the best, 100th the worst.
Closet indexer
A fund that charges active fees while delivering near-passive exposure — the tell-tale signature is high R², low tracking error and low Active Share. Unmasking it is a core purpose of fund analysis.
FAQ

Mutual Fund Analysis (Part 1) FAQ

Is a high Active Share a reliable sign a fund will outperform?

No. The course is explicit that the evidence Active Share PREDICTS outperformance is mixed. It only tells you how different a fund is from its benchmark, not how good it is — a manager can be very active and very wrong. Pair it with bottom-up analysis (holdings, process, alpha reliability) before drawing a conclusion. Treating Active Share as a standalone buy signal loses the discussion mark.

What is the difference between the Sharpe, Treynor and information ratios?

All three are reward-to-risk measures that differ in the denominator. Sharpe divides excess return by TOTAL risk (σ); Treynor divides it by SYSTEMATIC risk (β); the information ratio divides ALPHA by active risk (tracking error). Sharpe and Treynor rank a fund's total performance; the information ratio is the sharpest read on active skill per unit of active risk, which is why selection committees lean on it.

How do I read a percentile or quartile ranking correctly?

Rank a fund inside its own peer category, over several horizons (YTD, 1/3/5/10-year). Q1 is the top quartile and Q4 the bottom. The trap is the percentile scale: in Morningstar convention a LOW number is GOOD — the 1st percentile is the best and the 100th the worst — so a 'high percentile' means poor relative standing. Always confirm the direction of the scale before calling a fund a strong performer.

Why is a big alpha not always a reason to pick a fund?

Because a large headline alpha can be statistically insignificant — a high p-value means it could easily be luck rather than repeatable skill. The exam plants exactly this: a fund with an eye-catching alpha and a weak p-value. Always check the significance of alpha and its net-of-fee size before believing it; a reliable, cheaper, tighter-tracking fund usually wins for a core sleeve.

When is it worth paying for active management instead of an index fund?

Only when a manager shows significant, net-of-fee alpha and a healthy information ratio, with standing that persists across horizons. The course's evidence is sobering: most active funds do not beat a comparable benchmark net of costs, good performance does not persist, and fees compound with certainty while alpha does not.

Watch for the closet indexer — high R², low tracking error and active fees — which delivers passive exposure at active prices.

Study strategy

Exam move

Split your Topic 8 prep between calculation and judgement. Drill the ratios until they are automatic — Sharpe = (r̄ − rf)/σ, Treynor = (r̄ − rf)/β, information ratio = alpha/tracking error, and Active Share = ½ Σ |w_Fund − w_BM| — and be able to sort every measure into absolute (Sharpe, SD, VaR, drawdown) versus relative (beta, R², tracking error, information ratio, capture ratios).

Then rehearse the judgement move the exam actually rewards: given two funds that tie on the headline ratios, break the tie on the information ratio, the statistical significance of alpha (p-value), the net-of-fee cost, and the fund's role (low tracking error for a core sleeve).

Memorise the three traps — Active Share is not a proven predictor, the percentile scale runs backwards (1st = best), and a big insignificant alpha is a decoy — and remember that this chapter is the analytical heart of the group assignment's fund-selection section, so working the ratio-plus-decision example is direct assignment practice.

Confirm the exact assessment weightings and any provided-materials policy in your course outline.

Working through Mutual Fund Analysis (Part 1) in BAFI 6010? Sia is AskSia’s AI Finance tutor — ask any BAFI 6010 Mutual Fund Analysis (Part 1) question and get a clear, step-by-step explanation grounded in how BAFI 6010 is taught and assessed. Read this chapter free, then take your hardest questions to Sia.

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