IAI Actuarial Core Principles · Economic Modelling · Single and multifactor models for investment returns
Which statement about the APT compared with the CAPM is correct?
APT permits multiple systematic factors and rests on absence of arbitrage rather than on the market portfolio being mean-variance efficient. It does not specify which factors apply, and it does not reward diversifiable specific risk, unlike the CAPM's single-factor market-portfolio framework.
- AAPT allows several systematic factors and does not require the market portfolio to be mean-variance efficientCorrect
- BAPT requires all investors to hold the market portfolio
- CAPT identifies the specific factors that must be used
- DAPT assumes investors are risk-neutral
- APT states that specific risk is rewarded with a premium
Explanation
APT is derived from no-arbitrage arguments with well-diversified portfolios and permits multiple systematic factors. It does not need the market portfolio to be efficient, but it also does not say which factors to use. Specific risk is diversified away and so is not rewarded.
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
- An equally weighted portfolio holds 25 shares, each with beta 1.0 and residual variance 0.0400. The market variance is 0.0100. Residuals are…
- Two stocks, X and Y, follow a single-index model with market variance 0.04. Beta of X is 0.8 and beta of Y is 1.5. Residuals are uncorrelate…
- A two-factor model for a fund's return is R = 2% + 0.9 F1 + 0.5 F2 + e, where F1 is the surprise in market return and F2 is the surprise in …
- An equally weighted portfolio holds n securities, each with beta 1 and residual variance 0.0100, residuals uncorrelated, market variance 0.0…
- In a multifactor model of security returns, R_i = a_i + b_i1 F1 + b_i2 F2 + e_i, which statement about the term e_i is correct under the sta…
- Under a one-factor arbitrage pricing theory (APT) with risk-free rate 6% and a factor risk premium of 5%, a security has factor sensitivity …