# standard deviation

Investment A has an expected return of 14% with a standard deviation of 4%, while investment B has an expected return of 20% with a standard deviation of 9%. Therefore, ________.

a. a risk averse investor will definitely select investment A because the standard deviation is lower

b. a rational investor will pick investment B because the return adjusted for risk (20% - 9%) is higher than the return adjusted for risk for investment A ($14% - 4%)

c. it is irrational for a risk-averse investor to select investment B because its standard deviation is more than twice as big as investment A's, but the return is not twice as big

d. rational investors could pick either A or B, depending on their level of risk aversion

https://brainmass.com/business/finance/standard-deviation-176194

#### Solution Preview

The obvious answer is A. A lower standard deviation means that the security or stock is less risky than others. A risk ...