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Expected-Return Models

The earnings announcement changes the stock price by some amount that would have occurred anyway because the market moved. The expected-return model is the subtraction that removes that piece.

On a daily Dow announcement the usual subtraction is the market model, estimated on the estimation window. This note compares that regression with the constant-mean return, with a size or industry factor, and with CAPM or APT restrictions, using the variance reduction Campbell, Lo & MacKinlay write down.
It does not re-derive ordinary least squares; the coefficient algebra is the core regression result, applied here to event-time returns.
Learning objectives. By the end of this note you should be able to:
  • write the constant-mean model and the market model, and name XtX_t in each;
  • state the variance ratio between the two abnormal-return measures in terms of the market-model R2R^2;
  • say when a second factor is worth fitting, and when it is not;
  • explain why a CAPM restriction is not required for the event-study subtraction.

In this lesson

  1. Statistical models
  2. How much variance the market removes
  3. What is being subtracted on the earnings day
  4. Factors, size, and economic restrictions
  5. Audit on the running announcement

Before you start

The full lesson, with worked examples and exercise solutions, is for members.

Read the full lesson

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