IAI Actuarial Core Principles · Economic Modelling · Single and multifactor models for investment returns
Which of the following is a key difference between the APT and the CAPM?
APT allows several systematic risk factors and is derived from the absence of arbitrage, without specifying the factors. CAPM is an equilibrium model based on mean-variance investors in which the single market portfolio is the only systematic factor.
- AAPT requires all investors to hold the market portfolio, whereas CAPM does not
- BAPT allows several sources of systematic risk and relies on no-arbitrage, whereas CAPM relies on mean-variance investors and a single market factorCorrect
- CAPT assumes returns are normally distributed, whereas CAPM does not
- DAPT specifies exactly which factors must be included, whereas CAPM leaves them open
- APT can only be applied to a single security, whereas CAPM applies to portfolios
Explanation
CAPM is derived from mean-variance utility and equilibrium, giving one factor, the market portfolio. APT is derived from absence of arbitrage in a factor model, allows multiple factors, and does not specify what the factors are. The other options reverse or invent these features.
Did you get it right without looking?
One question tells you little. A timed set on Single and multifactor models for investment returns shows your real accuracy, how long you take and where you lose marks.
More Single and multifactor models for investment returns questions
- In a single-index model for the return on security i, R_i = a_i + b_i R_M + e_i, where R_M is the return on a market index and e_i is the re…
- In a single-factor model of returns, R_i = a_i + b_i*I + e_i, where I is a common index and the e_i are specific terms. Which assumption is …
- Which feature distinguishes a multifactor model of returns from a single-index model?
- Two securities, A and B, follow a single-index model with betas 0.8 and 1.5 respectively. The market index has variance 0.0225 and the resid…
- Which of the following is a recognised limitation of using a multifactor model for forecasting investment returns?
- Which statement about statistical (principal components) multifactor models is correct?