A stock has an average return of 13.6% and a standard deviation of 8.4%. In any one given year, you have a 95% chance that you will not lose more than % nor earn more than % if you invest in this security. a. 5.2% to 22.0%.
b. 3.2% to 30.4%.
c. 3.2% to 30.4%.
d. 5.2% to 22.0%.
e. 13.6% to 38.8%.

options B and C are identical, and they are both right.

you have a 95% chance that you will not lose more than 3.2% nor earn more than 30.4% if you invest in this security.

Explanation:

a 95% confidence level represents approximately 2 standard deviations, so the stock could lose up to 13.6% - (2 x 8.4%) = -3.2% in the worse case scenario. You should also be able to earn 13.6% + (2 x 8.4%) = 30.4% in the best case scenario.