With the data that is given, I am trying to find the Geometric Mean for the enti

Question

With the data that is given, I am trying to find the Geometric Mean for the entire time period. the first column is the range of years observed. the second column is the arithmetic mean and the third column is the standard deviation. Im not entirely sure how to calculate the geometric mean since the span of years vary (25 years, 5 years, and 1 year. I am trying to find the Geometric mean for each short-term treasury bills, and long term u.s. government bonds.

Exhibit 4     Annual Holding-Period Returns for Selected Securities and Market Indexes, 1926-1987 Years Arithmetic Average Standard Deviation Short-term Treasury bills: 1926-87 3.54% 0.94% 1926-50 1.01% 0.40% 1951-75 3.67% 0.56% 1976-80 7.80% 0.83% 1981-85 10.32% 0.75% 1986 6.16% 0.19% 1987 5.46% 0.22% Long-term U.S. government bond returns: 1926-87 4.58% 7.58% 1926-50 4.14% 4.17% 1951-75 2.39% 6.45% 1976-80 1.95% 11.15% 1980-85 17.85% 14.26% 1986 24.44% 17.30% 1987 -2.69% 10.28%

Explanation / Answer

I think it is not possible to find the geoometric mean with the help of given data because the whole data is needed instead of arthematic average and standard deviation

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