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Information Ratio — The Metric That Tells Luck from Skill in Alpha

2026.06.14 · Multifolios Editorial · 한국어 ↗

Two funds each delivered +6% alpha over their benchmark. One produced +5%, +6%, +7% in steady years; the other swung +25%, −15%, +8% and landed at the same average. Which is real skill? Information Ratio (IR) is the metric designed to answer exactly this question. This article covers the definition, intuition, what 0.5 / 1.0 / 2.0 actually mean, and how IR differs from the Sharpe Ratio.

1. Definition — Alpha divided by volatility

One line:

IR = Alpha (α) / Tracking Error (TE)

Two terms to pin down precisely:

Alpha (α)

Beta-adjusted excess return over the benchmark. Not a simple return difference, but the "excess that your beta cannot explain." Full definition in The True Meaning of Alpha.

Tracking Error (TE)

Standard deviation of (portfolio return − benchmark return). "How varied was your divergence from the benchmark." Typically computed from one year of daily returns; unit is pp.

So IR asks: "Is your alpha large enough to justify its volatility?" Same alpha — lower volatility ↑ IR, higher volatility ↓ IR.

2. Intuition — by example

Three years of annual alpha for two funds:

Fund2024 α2025 α2026 αMeanTE (std. dev)IR
A — Steady+5%+6%+7%+6%0.82pp7.32
B — Volatile+25%−15%+8%+6%16.65pp0.36

Both funds: same +6% mean alpha. But IR: 7.32 vs 0.36 — roughly a 20× gap.

▸ One-line intuition
IR quantifies "can I expect a similar alpha next year?"

3. Interpreting IR levels

Industry rule of thumb:

IRInterpretationExample
< 0Consistently trails the benchmarkIndex tracking would be better
0.0–0.5Alpha drowned in noiseMajority of active funds (90%+)
0.5–1.0Meaningfully activeSolid portfolio manager
1.0–2.0ExcellentTop-5% manager
> 2.0Legendary / suspiciousMadoff-style fraud check warranted

Multiple studies estimate only 10–20% of active funds achieve IR > 0.5 over the long run — the empirical basis for the claim that most active management is "expensive randomness."

▸ The IR > 2.0 warning sign
Sustained IR above 2.0 over many years is extremely rare. One red flag in the Madoff fraud case was "unrealistically steady +1% monthly returns" (i.e., an abnormal IR). Numbers that are too good warrant verification.

4. IR vs Sharpe Ratio

Sharpe and IR look similar in form but measure different things:

MetricNumeratorDenominatorWhat it measures
SharpeReturn − risk-free rateStd. dev of returnRisk-efficiency of absolute return
IRAlpha (return − benchmark)Std. dev of (return − benchmark)Risk-efficiency of excess-over-benchmark

Sharpe answers "Is this fund's absolute performance good?" IR answers "Does it add value over the benchmark?"

On Sharpe's limits and Sortino / Calmar alternatives, see The Sharpe Ratio Trap (Korean only for now).

5. Four IR-calculation pitfalls

① Measurement window — too short is noise

IR from 1–3 years of data is statistically weak. Academic convention is 5+ years. A fund with IR 3.0 one year often shows IR −0.5 the next.

② Benchmark choice — wrong pick warps everything

Comparing a large-cap fund to S&P 500 is fine; comparing it to NASDAQ small-caps makes both alpha and TE meaningless. See The True Meaning of Alpha section 5.

③ Return frequency — daily / monthly / annual

TE computed from daily returns differs in scale from monthly TE, so IR comes out different. Convention is to compute daily and annualize by ×√252. Always normalize frequency / annualization when comparing funds.

④ Fees — gross vs net

Marketing IR is often gross-of-fees. For an investor, net IR is what matters. A 1%/year management fee shaves IR by roughly 0.2–0.5.

6. Practical IR for individual investors

IR calculation is heavy for most retail investors, but it's useful in:

  1. Picking active funds / robo-advisors — don't stop at marketing returns; check IR (or the TE in the appendix).
  2. Self-assessment — once you have 2–3 years of data, compute your own IR honestly. Is your alpha consistent vs. an index?
  3. Strategy comparison — when backtesting momentum vs. value vs. dividend strategies, look at IR for consistency, not just alpha — otherwise you reward strategies that won in one specific regime.

Multifolios currently provides visual benchmark comparison (Return mode + SPY / KOSPI line). Automatic IR computation is a planned addition (personal alpha-analytics card).

Summary

Want the alpha definition first?
The True Meaning of Alpha — 4-step frame
→ Read the alpha article