Analyst Dojo

You are reading the 2026 curriculum (exams up to November 2026). Sitting in February 2027 or later? Go to the 2027 Equities guide.

Learning Module 3 of Equity Investments 11–14% of the exam

Market Efficiency

5 lessons. About 26 minutes in cram mode, 120 minutes in full.

Lessons

  1. 1
    What an efficient market is, and what makes one

    describe 6 min cram, 24 min full

  2. 2
    Weak, semi-strong and strong-form efficiency

    contrast 6 min cram, 28 min full

  3. 3
  4. 4
  5. 5
    Behavioral finance and market efficiency

    describe 4 min cram, 20 min full

What the exam expects you to do

  1. Describe market efficiency and related concepts, including their importance to investment practitioners.What an efficient market is, and what makes one
  2. Contrast market value and intrinsic value.What an efficient market is, and what makes one
  3. Explain factors that affect a market’s efficiency.What an efficient market is, and what makes one
  4. Contrast weak-form, semi-strong-form, and strong-form market efficiency.Weak, semi-strong and strong-form efficiency
  5. Explain the implications of each form of market efficiency for fundamental analysis, technical analysis, and the choice between active and passive portfolio management.What efficiency means for analysts and for active vs passive investing
  6. Describe market anomalies.Market anomalies: calendar, momentum, size, value and more
  7. Describe behavioral finance and its potential relevance to understanding market anomalies.Behavioral finance and market efficiency

Module summary

The whole module on one sheet, organised by lesson: what to memorize, how the ideas fit together, the formulas and the key terms. No paragraphs, just what you need to revise.

How deeply to learn each part
Know the idea
Understand it in general. It frames other topics, but you will not calculate with it.
Use it
Understand it well enough to solve a question with it. Recognize when it applies.
Memorize
Learn it by heart. The exam will not give it to you.
1

What an efficient market is, and what makes one

Known

MemorizeWhat raises efficiency

FactorMore efficient when
Participantsmany active investors and analysts
Informationtimely, accurate, equal access (disclosure rules)
Limits to tradingarbitrage and short selling are easy
Coststrading and research costs are low

Memory hook Who trades, what they know, what stops them, what it costs.

Know it cold Efficient = prices reflect new information quickly and rationally. A degree, not an on/off switch.

MemorizeValue and returns

TermMeaning
Market valuethe price now
Intrinsic valueestimated true worth
Abnormal returnactual − expected (risk-adjusted) return

Memory hook Price is what you pay, intrinsic value is what you get, abnormal return is what you beat.

Know it cold Only the unexpected part of news moves an efficient price.

Key terms

  • informationally efficient market Memorize
  • abnormal return Memorize
  • market value Memorize
  • intrinsic value Memorize
  • active investment Use it
  • passive investment Use it
  • arbitrage Use it
  • short selling Use it
  • transaction costs Use it
  • information-acquisition costs Use it
What makes a market more efficient
Market efficiencya spectrum from completely inefficient to completely efficient
  • Market participants Memorize more investors and more analyst coverage, so mispricings are found and traded away
  • Information and disclosure Memorize timely, accurate, equally available to all
  • Limits to trading Memorize arbitrage and short selling impeded, efficiency falls
  • Costs Memorize prices are efficient within the bounds of what it costs to trade on them
    • Transaction costs Use it commissions, spreads, price impact
    • Information-acquisition costs Use it research, data, analysts
Market value versus intrinsic value
Value of a security
  • Market value Memorize the price at which it can be bought or sold now
  • Intrinsic value Memorize the value investors would place on it with a complete understanding; only ever an estimate
    • Intrinsic above market looks undervalued, active investor buys
    • Intrinsic below market looks overvalued, active investor sells or shorts
    • Roughly equal market is efficient, passive investing makes sense

Formulas

Abnormal return Memorize
AR=R−E(R)AR = R - E(R)
Quick example

A share earns 10.2% in a year when its expected return, given its risk, was 7.5%. 10.2 − 7.5 = 2.7%.

On your calculator
  1. 10.2−7.5= 2.7
  1. 10.2ENTER7.5− 2.7

ENTER enter (on the HP, puts the number on the stack)

Net gain from trading a mispricing Use it
N=(V−P)−c PN = (V - P) - c\,P
Quick example

Intrinsic value estimate 88.00, price 85.50, round-trip cost 1.2% of the price. Gap 2.50; cost 0.012 × 85.50 = 1.026. Net +1.474 per share.

On your calculator
  1. 88−85.5−(0.012×85.5)= 1.474
  1. 88ENTER85.5−0.012ENTER85.5×− 1.474

ENTER enter (on the HP, puts the number on the stack)

2

Weak, semi-strong and strong-form efficiency

Known

MemorizeThe three forms

FormAlready in the priceNo abnormal returns from
Weakpast prices and volumetechnical analysis
Semi-strongall public informationfundamental analysis of public data
Strongpublic and private informationanything, even inside information

Memory hook Past, public, private: each form adds one layer of information and removes one more way to win.

Know it cold Strong ⊃ semi-strong ⊃ weak. A semi-strong efficient market is also weak-form efficient, never the reverse.

MemorizeEvidence and event-study patterns

Pattern or formReading
Weak and semi-strongbroadly hold in developed markets
Strongrejected, insiders earn abnormal returns
One jump at the announcementconsistent with semi-strong
Drift after the announcementcontradicts semi-strong
Run-up before the announcementleak of private information

Memory hook Jump = efficient, drift = slow, run-up = leak.

Know it cold Event study: abnormal return = actual − expected. Expected usually uses beta × market return.

Key terms

  • market data Use it
  • weak-form efficient market Memorize
  • semi-strong-form efficient market Memorize
  • strong-form efficient market Memorize
  • serial correlation Know the idea
  • event study Use it
  • insider information Use it
The three forms of market efficiency
Market efficiencyeach form contains the one before it: strong ⊃ semi-strong ⊃ weak
  • Weak form Memorize prices reflect past market data
    • In the price past prices, returns and trading volume
    • Cannot earn abnormal returns with technical analysis
    • Tested by serial correlation, trading rules
    • Evidence holds in developed markets; exceptions in some developing ones
  • Semi-strong form Memorize prices reflect all public information
    • In the price market data plus statements, news, economic data
    • Cannot earn abnormal returns with fundamental analysis of public data (on average)
    • Tested by event studies
    • Evidence broadly holds in developed markets
  • Strong form Memorize prices reflect all information, public and private
    • In the price everything, including insider information
    • Cannot earn abnormal returns with anything, even inside information
    • Tested by do insiders earn abnormal returns?
    • Evidence rejected: insiders do earn them
How an event study runs
Event studydoes the price react quickly and fully to news?
  • 1. Choose the event and the shares for example an earnings announcement
  • 2. Estimate the expected return from beta, a market model or an index
  • 3. Abnormal return Use it actual return minus expected return
  • 4. Test against zero is the average abnormal return different from zero?

Formulas

Abnormal return in an event study Use it
AR=R−βRmAR = R - \beta R_m
Quick example

The market returns 2.5% on an announcement day. A share with beta 0.9 returns 1.4%. Expected 0.9 × 2.5 = 2.25%. Abnormal return 1.4 − 2.25 = −0.85%.

On your calculator
  1. 1.4−(0.9×2.5)= -0.85
  1. 1.4ENTER0.9ENTER2.5×− -0.85

ENTER enter (on the HP, puts the number on the stack)

3

What efficiency means for analysts and for active vs passive investing

Known

MemorizeThe implications grid

If efficient at…TechnicalFundamentalPortfolio management
Weak formno abnormal returnscan still add valueactive can work
Semi-strongno abnormal returnsnone on averagepassive favored
Strong formno abnormal returnsno abnormal returnspassive, manager adds fit

Memory hook Technical dies first, fundamental second, inside information last. Weak form kills technical already.

Know it cold Fundamental analysis is the engine of efficiency. Managers add value through risk, diversification, taxes and client fit.

Key terms

  • technical analysis Use it
  • fundamental analysis Use it
  • active return Use it
What each form of efficiency implies
If the market is…
  • Weak-form efficient Memorize
    • Technical analysis no abnormal returns
    • Fundamental analysis can still add value
    • Active management can work, using fundamentals
  • Semi-strong-form efficient Memorize
    • Technical analysis no abnormal returns
    • Fundamental analysis none on average from public data, yet it keeps prices efficient
    • Active management passive favored; active must justify its fees
  • Strong-form efficient Memorize
    • Technical analysis no abnormal returns
    • Fundamental analysis no abnormal returns
    • Portfolio management passive; the manager still adds value through fit
What a manager adds in an efficient market
Portfolio managerthe job is a portfolio that fits the client, not beating the market
  • Risk tolerance how much volatility the client can bear
  • Time horizon and liquidity needs when the money is needed
  • Taxes the client's tax position
  • Diversification and asset allocation spread risk across assets

Formulas

Active return Use it
RA=RP−RBR_A = R_P - R_B
Quick example

A portfolio returns 12.5% and its benchmark returns 11.2%. 12.5 − 11.2 = 1.3%. Use the return after fees to judge what the investor kept.

On your calculator
  1. 12.5−11.2= 1.3
  1. 12.5ENTER11.2− 1.3

ENTER enter (on the HP, puts the number on the stack)

4

Market anomalies: calendar, momentum, size, value and more

Known

MemorizeThe anomalies

AnomalyPattern
January effectsmall caps, first ~5 trading days of January; tax-loss selling, window dressing
Momentumrecent winners keep winning short term (contradicts weak form)
Overreactionlosers over the past 3 to 5 years beat winners (reversal)
Sizesmall caps outperform; not confirmed in later studies
Valuelow P/E, low P/B, high yield beat growth (contradicts semi-strong)
Closed-end fund discountprice below NAV, 4 to 10% on average
Earnings surpriseprices keep drifting the same way after the news
IPOsrise on day one, weak long run

Memory hook Momentum is short-run continuation. Overreaction is long-run reversal.

Know it cold Most anomalies fade after risk adjustment, costs or out-of-sample tests, so efficiency stands.

MemorizeWhy an anomaly may not be free money

AnomalyWhy it may not be exploitable
Closed-end discountcost of buying and liquidating the fund; discounts revert
ValueFama–French: extra risk, not mispricing
Sizefaded once known; mainly microcaps
Earnings surprisegains vanish after costs and risk
IPOsonly offer-price buyers gain; may be a method artifact
Any patterndata mining: test enough rules and some look significant

Memory hook Risk, costs or chance.

Know it cold A true anomaly persists out of sample and survives risk and costs.

Key terms

  • market anomaly Memorize
  • January effect Memorize
  • tax-loss selling Use it
  • window dressing Use it
  • momentum Memorize
  • overreaction effect Memorize
  • size effect Memorize
  • value effect Memorize
  • closed-end fund discount Memorize
  • earnings surprise Memorize
  • IPO underpricing Memorize
  • data mining Use it
Where anomalies were found
Market anomaliesreturn patterns that seem to offer abnormal returns
  • Time-series Memorize found in a series of returns over time
    • Calendar January, turn-of-the-month, day-of-the-week, weekend, holiday
    • Momentum short-run winners keep winning
    • Overreaction 3 to 5 year losers beat winners
  • Cross-sectional Memorize found by comparing companies that differ on a characteristic
    • Size effect small caps outperform
    • Value effect low P/E, low P/B, high yield beat growth
  • Other Memorize found by event studies and other means
    • Closed-end fund discount price below net asset value
    • Earnings surprise drift after the announcement
    • IPOs day-one underpricing, weak long run
    • Predictability from prior information interest rates, inflation, volatility
Is it a real, usable anomaly?
Tests for a true anomaly
  • Persists over long periods Use it and in samples not used to find it
  • Survives risk adjustment Use it not just compensation for extra risk
  • Survives trading costs Use it spreads, commissions, price impact
  • Not a product of data mining Use it a reason for the pattern before testing it

Formulas

Closed-end fund premium or discount Use it
D=P−NAVNAVD = \frac{P - NAV}{NAV}
Quick example

Net asset value 25.00 per share, share price 22.75. (22.75 − 25.00) ÷ 25.00 = −9.0%, a 9% discount.

On your calculator
  1. 22.75−25=÷25= -0.09
  1. 22.75ENTER25−25÷ -0.09

ENTER enter (on the HP, puts the number on the stack)

IPO underpricing Use it
U=C−OOU = \frac{C - O}{O}
Quick example

Offer price 32.00, first-day close 38.40. (38.40 − 32.00) ÷ 32.00 = 20.0%.

On your calculator
  1. 38.4−32=÷32= 0.2
  1. 38.4ENTER32−32÷ 0.2

ENTER enter (on the HP, puts the number on the stack)

Patterns that look significant by chance Know the idea
K=T×αK = T \times \alpha
Quick example

250 trading rules with no real power, tested at the 1% level. 250 × 0.01 = 2.5 expected to look significant by chance.

On your calculator
  1. 250×0.01= 2.5
  1. 250ENTER0.01× 2.5

ENTER enter (on the HP, puts the number on the stack)

5

Behavioral finance and market efficiency

Known

MemorizeThe biases

BiasWhat it isMay explain
Loss aversionlosses hurt more than equal gains pleaseoverreaction; holding losers
Herdingtrading with the crowd, ignoring own analysisbubbles, under- and overreaction
Overconfidenceoverestimating ability to process informationmispricing of high-growth shares; heavy trading
Information cascadecopying earlier tradersprice moves without news; speeds or spreads errors
Conservatismslow to update prior viewsslow reaction to news

Memory hook Herding copies the crowd. A cascade copies the first movers. Both ignore your own information.

Know it cold Loss aversion is not risk aversion. Risk aversion demands pay for uncertainty. Loss aversion dislikes losses more than equal gains.

MemorizeThe efficiency verdict

Memory hook Efficiency needs unexploitable prices, not perfect people.

Know it cold Biased investors do not by themselves make a market inefficient. They matter when biases are shared and arbitrage is limited.

Key terms

  • behavioral finance Use it
  • risk aversion Know the idea
  • loss aversion Memorize
  • herding Memorize
  • overconfidence Memorize
  • information cascade Memorize
  • representativeness Know the idea
  • mental accounting Know the idea
  • conservatism Know the idea
  • narrow framing Know the idea
Behavioral biases in this module
Behavioral biasessystematic departures from fully rational decisions
  • Loss aversion Memorize a loss hurts more than an equal gain pleases
  • Herding Memorize trading on the same side as others, ignoring own analysis
  • Overconfidence Memorize overestimating one's ability to process information
  • Information cascade Memorize copying earlier traders' actions
  • Others Know the idea
    • Representativeness judging by similarity to a familiar class
    • Mental accounting separate mental accounts for gains and losses
    • Conservatism slow to update prior views
    • Narrow framing judging issues in isolation
Does behavioral finance overturn efficiency?
Biased investors and efficient prices
  • If efficiency needs every investor to be rational Memorize markets cannot be efficient
  • If efficiency needs only that no one can consistently beat the market after risk Memorize markets can still be efficient
  • When biases matter for prices
    • Biases are shared so they do not cancel out
    • Limits to arbitrage rational traders cannot correct prices

Analyst Dojo Plus

Your free review list holds 10 items.

Plus keeps everything you save, for USD 19 a month. To make room on the free plan, remove something from your review list.

See Plus

Lessons, checkpoints and the lesson questions in practice stay free. Compare plans