### CFA Practice Question

There are 434 practice questions for this study session.

### CFA Practice Question

A client will move his investment account unless the portfolio manager earns at least a 10 percent rate of return on the account. The rate of return for the portfolio the portfolio manager has chosen has a normal probability distribution with an expected return of 19 percent and a standard deviation of 4.5 percent. What is the probability that the portfolio manager will keep this account?
A. 0.950
B. 1.000
C. 0.975
Explanation: As a rule of thumb, two standard deviations produce a 95% confidence level. Since this question presents a one-tailed test, the probability of falling below the expected value by two standard deviations is 2.5%.
Confidence interval = (19% - 10%)/4.5% = 2 standard deviations
The frequency of outcomes two standard deviations less than the expected return is 2.28%.
Hence, the probability of keeping the account = 1.0000 - 0.0228 = 0.9772, closest to 0.975.