Geometric Mean The geometric mean is often used in business and economics for finding average rates of change, average rates of growth, or average ratios. Given n values (all of which are positive), the geometric mean is the nth root of their product. Find the average growth factor for money deposited in annual certificates of deposit for the past 5 years (as of this writing) with annual interest rates of 1.7%, 3.7%, 5.2%, 5.1%, and 2.7% by computing the geometric mean of 1.017, 1.037, 1.052, 1.051, and 1.027. What single percentage growth rate would be the same as having the five given successive growth rates? Is that result the same as the mean of the five annual interest rates?

Solution 37BB

The single percentage growth rate is (1.0367-1.00)x100%=3.67%.The mean percentage of annual interest rates...