Abnormal ReturnCAR

An abnormal return is the gap between what an investment actually returned and what it was expected to return given risk and market conditions. It isolates the part of a move caused by news, such as earnings or a merger.

A stock jumps 6% on earnings day. Was that the news, or did the whole market rally? Abnormal return answers this by subtracting the expected return. It's the core tool of event studies and helps traders judge whether a move was truly stock-specific. This entry explains the formula, how expected return is estimated and how to read the result.

Category
Fundamentals and Macroeconomics
Reading time
3 min
Also called
Abnormal returns, Excess return around events, Cumulative abnormal return
Updated

Abnormal return in plain words

Abnormal (or excess) returns are returns that exceed what is expected based on risk and market conditions.1

The formula is simple: abnormal return = actual return − expected return.1

Expected return is often estimated with a model like CAPM, using the risk-free rate, beta and the market's return.2

How to measure abnormal return, step by step

  1. Pick the event

    Earnings, merger, guidance. See Earnings Surprise.

  2. Estimate expected return

    Market model or CAPM. See Capital Asset Pricing Model.

  3. Measure actual return

    Over the event window.

  4. Subtract

    Actual − expected.

  5. Add up over days

    Gives cumulative abnormal return (CAR).

  6. Compare across events

    Look for consistent patterns.

Worked examples

Example 1 — Earnings day

+5% abnormal

A stock with beta 1.0 rises 6% on earnings day while the index rises 1%.

Example 1 — Earnings day — calculation
Expected≈ 1%
Actual6%
Abnormal return+5%

Subtracting the expected return isolates how much the news itself moved the price.1

Example 2 — CAPM expected return

−2% abnormal

Risk-free 4%, market return 10%, beta 1.5. The stock returned 11% for the year.

Example 2 — CAPM expected return — calculation
Expected (CAPM)4% + 1.5 × (10% − 4%) = 13%
Abnormal return11% − 13% = −2%

CAPM sets the expected return from beta and the market risk premium.2 A positive raw return can still be abnormally weak.

Example 3 — Cumulative abnormal return

CAR +5%

Over three days around a merger announcement, abnormal returns are +4%, +1.5% and −0.5%.

Example 3 — Cumulative abnormal return — calculation
CAR4 + 1.5 − 0.5 = +5%

Adding daily abnormal returns over an event window shows the total reaction to the news. See Mergers and Acquisitions.

Abnormal return vs related measures

AspectMeasuresBenchmark
Abnormal returnActual − expectedModel-based expected return
AlphaRisk-adjusted outperformanceCAPM or factor model
Relative returnActual − benchmarkAn index
Excess over cashActual − risk-freeT-bill rate

Where abnormal returns are used

Advantages and disadvantages

Advantages

  • Separates stock news from market moves.
  • Simple to calculate.
  • Standard tool in finance research.

Disadvantages

  • Depends on the expected-return model.
  • Noisy over short windows.
  • Hard to separate overlapping news.

Going deeper

Read as far as you need. Each level builds on the one before it.

Not the same as profit

Beginner

A stock can rise and still have a negative abnormal return if it lagged what was expected given its risk.1

Choosing the model

Intermediate

Simple studies use the market return; others use CAPM or multi-factor models, and results can change with the model chosen.2 See Factor Investing.

Post-event drift

Advanced

Studies have found abnormal returns that continue for weeks after earnings surprises, a challenge to strong market efficiency. See Earnings Season.

Common mistakes

  1. Ignoring the market's move

    Raw returns mislead.

  2. Wrong beta

    Use a sensible estimation period.

  3. Window too long

    Other news creeps in.

  4. One event as proof

    Patterns need many events.

Check your understanding

Test yourself before moving on. Each answer comes with an explanation.

Q1Actual return 8%, expected 5%. Abnormal return?
Q2Risk-free 3%, market 9%, beta 2, actual 14%. Abnormal return?

Key points to remember

  1. Abnormal return = actual − expected return.
  2. Expected return often comes from CAPM or a market model.
  3. It isolates the effect of news.
  4. CAR adds abnormal returns over an event window.
  5. Results depend on the model chosen.

Frequently asked questions

Is abnormal return the same as alpha?

They are close: alpha usually describes ongoing risk-adjusted outperformance; abnormal return often describes reactions to specific events.

Can abnormal returns be negative?

Yes, when a stock underperforms its expected return.

What is an event window?

The days around an event over which abnormal returns are measured.

Further learning

Sources

This article is written in our own words. The sources below support the specific facts, rules and figures marked with a number in the text. Links open the original publisher’s page.

  1. Corporate Finance Institute. Abnormal Return (opens in a new tab) Checked .
  2. Corporate Finance Institute. CAPM Formula (opens in a new tab) Checked .

Educational content, not financial advice. Examples use hypothetical prices and simplified costs; actual fees, margin rules and regulations vary by broker, market and country. We are not affiliated with any publisher linked above. Last reviewed . Report an error or request a source credit.