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FRM Part II · FRM Exam Part II · Factors

A portfolio manager decomposes a equity fund's return into exposures to market, size, value and momentum factors plus a residual. Which statement best describes the residual term in this factor model?

The residual is the part of a portfolio's return not explained by the chosen factors. It reflects security-specific return and possibly manager skill (alpha), because systematic compensation has already been attributed to the factor exposures in the model.

  1. AThe portion of return not explained by the chosen factors, which may reflect security-specific return or manager skillCorrect
  2. BThe portion of return explained entirely by the market factor
  3. CThe compensation for bearing systematic risk across all factors
  4. DThe transaction cost drag on the portfolio

Explanation

In a factor regression, the intercept and error capture return unexplained by the included factors. The intercept is interpreted as alpha relative to those factors, and the error as idiosyncratic return. Market exposure is already captured by the market factor, so it is not the residual.

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