The following information is available concerning the historical risk and return relationships in the U.S. capital markets: U.S. CAPITAL MARKETS TOTAL ANNUAL RETURNS, 1990-2011 Investment Category Common stocks Treasury bills Long-term government bonds Long-term corporate bonds Real estate "Based on arithmetic mean. Arithmetic Mean 10.28% 3.54 5.10 5.95 9.49 Geometric Mean 8.81% 3.49 4.91 5.65 9.44 Standard Deviation of Returnª 16.9% 3.2 6.4 9.6 4.5 a. Explain why the geometric and arithmetic mean returns are not equal and whether one or the other may be more useful for investment decision making. b. For the time period indicated, rank these investments on a relative basis using the coef- ficient of variation from most to least desirable. Explain your rationale. c. Assume the arithmetic mean returns in these series are normally distributed. Calculate the range of returns that an investor would have expected to achieve 95 percent of the time from holding common stocks.
The following information is available concerning the historical risk and return relationships in the U.S. capital markets: U.S. CAPITAL MARKETS TOTAL ANNUAL RETURNS, 1990-2011 Investment Category Common stocks Treasury bills Long-term government bonds Long-term corporate bonds Real estate "Based on arithmetic mean. Arithmetic Mean 10.28% 3.54 5.10 5.95 9.49 Geometric Mean 8.81% 3.49 4.91 5.65 9.44 Standard Deviation of Returnª 16.9% 3.2 6.4 9.6 4.5 a. Explain why the geometric and arithmetic mean returns are not equal and whether one or the other may be more useful for investment decision making. b. For the time period indicated, rank these investments on a relative basis using the coef- ficient of variation from most to least desirable. Explain your rationale. c. Assume the arithmetic mean returns in these series are normally distributed. Calculate the range of returns that an investor would have expected to achieve 95 percent of the time from holding common stocks.
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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