Problem 1: Returns and the Bell Curve
An investment has an expected return of 8 percent per year with a standard deviation of 4 percent. Assuming that the returns on this investment are at least roughly normally distributed, how frequently do you expect to lose money?
Problem 2: Using Returns Distributions
Based on the historical record, if you invest in long- term U. S. Treasury bonds, what is the approximate probability that your return will be less than 6.0 percent in a given year? What range of returns would you expect to see 95 percent of the time? 99 percent of the time?