IAI Actuarial Core Principles · Economic Modelling · Single and multifactor models for investment returns
Which statement about statistical (principal components) multifactor models is correct?
In a statistical model the factors are extracted from the covariance matrix of historic returns, for example by principal components analysis, so they are not specified in advance and often lack a clear economic meaning.
- AFactors are chosen in advance from observable economic data such as inflation
- BFactors are extracted from the covariance matrix of returns and may lack a clear economic interpretationCorrect
- CFactors are company attributes such as dividend yield and sector
- DThe model requires that all factor sensitivities equal one
- Factors must be correlated with each other to be valid
Explanation
Statistical models derive factors from the historic return data, typically from the covariance matrix, so factors are not pre-specified and can be hard to interpret economically. Options 0 and 2 describe macroeconomic and fundamental models; principal components are in fact uncorrelated.
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