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Market anomaly

Also written Capital market anomaly · Market anomalies

A pattern of returns that departs from what an asset's fundamentals and risk — as measured by CAPM or another pricing model — say it should earn, and so contradicts market efficiency.

In plain language

Imagine markets were fully efficient. Imagine CAPM, the standard model of risk and return, measured risk perfectly. Then every stock would earn just the return its risk deserves, plus or minus random noise.

A market anomaly is a lasting exception you can see to that picture.

The workbook defines it in two ways:

  • Chapter 13: market behaviour that does not fit the existing models of risk and return. It is also a challenge to the efficient market hypothesis.
  • Chapter 14: a stock's price moving away from the value its fundamentals suggest. It is a price change that current, relevant news cannot explain. Here, actual returns differ from the expected return that CAPM or other models call for.

Anomalies are where active managers hunt for alpha, which means returns above what the risk would predict. Several popular investment strategies grew straight out of them.

How it works

Anomalies in Chapter 13

AnomalyWhat was observedStrategy it fed
January effectIn the US, tax-loss selling pushes prices down in November–December and up in early JanuaryBuying in December, selling in January
Size anomalySmall firms consistently earned larger risk-adjusted returns than large firmsSmall-cap portfolios
Value anomalyHigh book-to-price stocks generated superior risk-adjusted returnsValue investing

The US tax authority responded to the January pattern with wash sale rules: a loss is not deductible if substantially identical securities are bought within 30 days before or after the sale.

The behavioural explanation (Chapter 14). Biases make investors err systematically, and systematic errors create anomalies. Overconfidence leads to underestimating risk; self-attribution bias leads investors to follow confirming information and trade too often; the disposition effect — holding losers, selling winners early — explains momentum in prices.

The workbook's summary of their life cycle: anomalies appear, disappear and reappear quite randomly. Some vanish as others exploit them; some persist for much longer.

A worked example

Illustrative figures, using the workbook's Security Market Line inputs. A portfolio manager builds a ₹10 lakh basket of high book-to-price mid-cap stocks. The basket's beta is 1.2, the risk-free rate is 8% and the market risk premium is 14%.

CAPM required return = 8% + 1.2 × 14% = 24.8%
Required gain on ₹10 lakh = ₹2,48,000

Over the year the basket actually returns 30%, or ₹3,00,000.

The gap of 5.2% — ₹52,000 — is not explained by the basket's market risk. If it were a one-off, it would be noise. If baskets built the same way beat their CAPM-required returns year after year, across many samples, that persistent gap is the value anomaly, and it is evidence against semi-strong efficiency (book-to-price is public information).

The manager should still ask the workbook's questions: does the anomaly survive transaction costs? Is it likely to disappear as more managers chase it? And is the model's measure of risk — a single beta — missing something that the "excess" is actually paying for?

Why NISM asks about it

Chapter 13 (Concept of Informational Efficiency), section 13.4, covers the January, size and value anomalies; a sample question calls the year-end tax-selling pattern the January Anomaly. Chapter 14 (Behavioural Finance), section 14.5.1, defines anomalies against CAPM-expected returns and explains them through biases. Chapter 18 builds strategies — small-cap, value, momentum, fusion investing — on these same anomalies.

Common exam traps

  • An anomaly is measured on a risk-adjusted basis. Small caps earning more is not an anomaly by itself; earning more after adjusting for risk is.
  • The January effect is from the US market and rests on US tax-loss selling — the workbook presents it that way.
  • Value anomaly = high book-to-price (equivalently, low price-to-book), not high P/E.
  • Wash sale window: 30 days before or after the loss sale.
  • Momentum is explained by the disposition effect in the workbook — investors selling winners too early and holding losers too long.
  • Anomalies can disappear, persist, or reappear — the workbook does not treat them as permanent.

Where this is taught

Free preparation for NISM Series XXI-B

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