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IAI Actuarial Core Principles · Economic Modelling · Single and multifactor models for investment returns

A share has alpha of 0.5% and beta of 1.4 in the market model. If the market return is 8%, what is the expected share return, ignoring the residual?

The expected return is 11.7%, found as alpha plus beta times the market return: 0.5% + 1.4 x 8% = 11.7%. Leaving out alpha would wrongly give 11.2%.

  1. A8.5%
  2. B11.2%
  3. C11.7%Correct
  4. D12.6%
  5. 9.4%

Explanation

Expected return = alpha + beta x market return = 0.5% + 1.4 x 8% = 0.5% + 11.2% = 11.7%. Omitting alpha gives 11.2%.

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