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, 1990-2015 \table[[Investment Category,Arithmetic Geometric,Standard Deviation of Returna],[Mean,Mean],[Common stocks,11.02%,9.63%,18.8%],[Treasury bills,4.10,4.05,3.1],[Long-term government bonds,4.50,4.21,5.9],[Long-term corporate bonds,5.80,5.53,9.6],[Real estate,9.35,9.29,4.5],[
^(a )
Based on arithmetic,mean.,,]] 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. The arithmetic average assumi
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, while the geometric average assumes
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b. For the time period indicated, rank these investments on a relative basis using the coefficient of variation from most to least desirable. Do not round intermediate calculations. Round your answers to two decimal places. \table[[Rank,Investment Category,Coefficient of variation, %],[1,-Select- 0,],[2,-Select- 0,],[3,-Select- 0,],[4,-Select- 0,],[5,-Select- 0,]] 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 long-term corporate bonds. Do not round intermediate calculations. Round your answers to two decimal places. Use a minus sign to enter negative values, if any. Arithmetic: from
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% to
?
% 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, 1990-2015 \table[[Investment Category,Arithmetic Geometric,Standard Deviation of Returna],[Mean,Mean],[Common stocks,11.02%,9.63%,18.8%],[Treasury bills,4.10,4.05,3.1],[Long-term government bonds,4.50,4.21,5.9],[Long-term corporate bonds,5.80,5.53,9.6],[Real estate,9.35,9.29,4.5],[
^(a )
Based on arithmetic,mean.,,]] 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. The arithmetic average assumi
?
, while the geometric average assumes
?
b. For the time period indicated, rank these investments on a relative basis using the coefficient of variation from most to least desirable. Do not round intermediate calculations. Round your answers to two decimal places. \table[[Rank,Investment Category,Coefficient of variation, %],[1,-Select- 0,],[2,-Select- 0,],[3,-Select- 0,],[4,-Select- 0,],[5,-Select- 0,]] 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 long-term corporate bonds. Do not round intermediate calculations. Round your answers to two decimal places. Use a minus sign to enter negative values, if any. Arithmetic: from
?
% to
?
%