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Calculate: 1. Arithmetic Average Return 2. Geometric Average Return 3. Standard Deviation of Returns 4. Coefficient of deviation/arithmetic average return 5. Make comments on effect
Calculate: | |||||||||||||||
1. Arithmetic Average Return | |||||||||||||||
2. Geometric Average Return | |||||||||||||||
3. Standard Deviation of Returns | |||||||||||||||
4. Coefficient of deviation/arithmetic average return | |||||||||||||||
5. Make comments on effect of portfolio diversification on average returns and riskiness (measured by the standard deviation of returns) of the portfolios. | |||||||||||||||
Make a comment on portfolios Coefficient of Variation. | |||||||||||||||
1 | |||||||||||||||
Year | 100% Bonds | 10/90 | 20/80 | 30/70 | 40/60 | 50/50 | 60/40 | 70/30 | 80/20 | 90/10 | 100% Stock | S&P 500 | Decimal Return | Growth Factor | Investment Value |
1970 | 13.7 | 11.9 | 10.2 | 8.5 | 6.8 | 5.1 | 3.4 | 1.8 | 0.1 | -1.6 | -3.2 | 4 | 0.04 | 1.04 | 104 |
1971 | 6.6 | 9 | 11.3 | 13.7 | 16.1 | 18.5 | 21 | 23.5 | 26 | 28.5 | 31.1 | 14.3 | 0.143 | 1.143 | 118.872 |
1972 | 3.7 | 5.2 | 6.7 | 8.3 | 9.8 | 11.4 | 12.9 | 14.5 | 16.1 | 17.6 | 19.2 | 19 | 0.19 | 1.19 | 141.45768 |
1973 | 3.4 | 1.1 | -1.1 | -3.4 | -5.6 | -7.8 | -10 | -12.1 | -14.2 | -16.3 | -18.4 | -14.7 | -0.147 | 0.853 | 120.663401 |
1974 | 6.5 | 3.3 | 0.2 | -2.9 | -5.9 | -8.8 | -11.7 | -14.5 | -17.3 | -19.9 | -22.6 | -26.5 | -0.265 | 0.735 | 88.68759976 |
1975 | 6.7 | 10.2 | 13.8 | 17.4 | 21.1 | 24.9 | 28.7 | 32.6 | 36.5 | 40.5 | 44.5 | 37.2 | 0.372 | 1.372 | 121.6793869 |
1976 | 8.6 | 9.6 | 10.6 | 11.6 | 12.5 | 13.5 | 14.4 | 15.3 | 16.2 | 17 | 17.9 | 23.8 | 0.238 | 1.238 | 150.639081 |
1977 | 2.1 | 4.4 | 6.7 | 9 | 11.4 | 13.9 | 16.4 | 18.9 | 21.5 | 24.2 | 26.8 | -7.2 | -0.072 | 0.928 | 139.7930671 |
1978 | 1.6 | 4.2 | 6.9 | 9.7 | 12.5 | 15.4 | 18.3 | 21.3 | 24.3 | 27.4 | 30.6 | 6.6 | 0.066 | 1.066 | 149.0194096 |
1979 | 6 | 7.1 | 8.1 | 9.2 | 10.2 | 11.2 | 12.3 | 13.3 | 14.3 | 15.3 | 16.3 | 18.4 | 0.184 | 1.184 | 176.4389809 |
1980 | 6.4 | 8.3 | 10.3 | 12.2 | 14.2 | 16.1 | 18.1 | 20 | 22 | 23.9 | 25.8 | 32.4 | 0.324 | 1.324 | 233.6052107 |
1981 | 9.7 | 9.1 | 8.5 | 7.9 | 7.2 | 6.6 | 6 | 5.4 | 4.7 | 4.1 | 3.4 | -4.9 | -0.049 | 0.951 | 222.1585554 |
1982 | 22.5 | 21.5 | 20.5 | 19.5 | 18.5 | 17.5 | 16.5 | 15.5 | 14.5 | 13.5 | 12.4 | 21.4 | 0.214 | 1.214 | 269.7004863 |
1983 | 7.1 | 9.1 | 11.1 | 13.2 | 15.3 | 17.4 | 19.5 | 21.7 | 23.9 | 26.1 | 28.4 | 22.5 | 0.225 | 1.225 | 330.3830957 |
1984 | 12.9 | 12.3 | 11.7 | 11.1 | 10.5 | 9.8 | 9.2 | 8.6 | 7.9 | 7.2 | 6.5 | 6.3 | 0.063 | 1.063 | 351.1972307 |
1985 | 15.4 | 18 | 20.7 | 23.5 | 26.3 | 29.2 | 32.1 | 35.1 | 38.1 | 41.2 | 44.4 | 32.2 | 0.322 | 1.322 | 464.282739 |
1986 | 11 | 12.9 | 14.8 | 16.7 | 18.6 | 20.6 | 22.6 | 24.5 | 26.5 | 28.6 | 30.6 | 18.5 | 0.185 | 1.185 | 550.1750457 |
1987 | 3.1 | 4.5 | 5.8 | 7.1 | 8.4 | 9.7 | 10.9 | 12 | 13.1 | 14.1 | 15 | 5.2 | 0.052 | 1.052 | 578.7841481 |
1988 | 5.1 | 6.8 | 8.6 | 10.4 | 12.3 | 14.1 | 16 | 17.9 | 19.8 | 21.8 | 23.8 | 16.8 | 0.168 | 1.168 | 676.0198849 |
1989 | 10.9 | 11.8 | 12.6 | 13.4 | 14.3 | 15.1 | 15.9 | 16.7 | 17.5 | 18.3 | 19.1 | 31.5 | 0.315 | 1.315 | 888.9661487 |
1990 | 9.5 | 7.2 | 5 | 2.8 | 0.6 | -1.6 | -3.8 | -5.9 | -8 | -10.1 | -12.2 | -3.1 | -0.031 | 0.969 | 861.4081981 |
1991 | 14.1 | 15 | 15.9 | 16.8 | 17.7 | 18.6 | 19.4 | 20.2 | 21 | 21.9 | 22.6 | 30.5 | 0.305 | 1.305 | 1124.137699 |
1992 | 6.2 | 5.7 | 5.3 | 4.8 | 4.4 | 3.9 | 3.5 | 3 | 2.5 | 2 | 1.6 | 7.6 | 0.076 | 1.076 | 1209.572164 |
1993 | 8.6 | 10.6 | 12.7 | 14.7 | 16.8 | 18.9 | 21 | 23.2 | 25.4 | 27.6 | 29.8 | 10.1 | 0.101 | 1.101 | 1331.738952 |
1994 | -4.2 | -3.6 | -3 | -2.4 | -1.8 | -1.3 | -0.7 | -0.1 | 0.4 | 1 | 1.5 | 1.3 | 0.013 | 1.013 | 1349.051558 |
1995 | 15.4 | 15.5 | 15.5 | 15.5 | 15.5 | 15.5 | 15.5 | 15.5 | 15.5 | 15.5 | 15.5 | 37.6 | 0.376 | 1.376 | 1856.294944 |
1996 | 2.1 | 3.2 | 4.3 | 5.4 | 6.5 | 7.6 | 8.8 | 9.9 | 11 | 12.1 | 13.3 | 23 | 0.23 | 1.23 | 2283.242782 |
1997 | 5.9 | 5.8 | 5.7 | 5.6 | 5.5 | 5.4 | 5.2 | 5 | 4.9 | 4.7 | 4.4 | 33.4 | 0.334 | 1.334 | 3045.845871 |
1998 | 7 | 7 | 6.9 | 6.8 | 6.6 | 6.4 | 6.1 | 5.7 | 5.4 | 4.9 | 4.4 | 28.6 | 0.286 | 1.286 | 3916.95779 |
1999 | -1.5 | 0.6 | 2.8 | 4.9 | 7.1 | 9.3 | 11.5 | 13.8 | 16.1 | 18.4 | 20.8 | 21 | 0.21 | 1.21 | 4739.518926 |
2000 | 10.6 | 9.3 | 7.9 | 6.6 | 5.3 | 3.9 | 2.6 | 1.3 | 0 | -1.3 | -2.6 | -9.1 | -0.091 | 0.909 | 4308.222703 |
2001 | 7.1 | 6.2 | 5.3 | 4.4 | 3.5 | 2.5 | 1.5 | 0.5 | -0.6 | -1.7 | -2.8 | -11.9 | -0.119 | 0.881 | 3795.544202 |
2002 | 11.3 | 9.3 | 7.3 | 5.2 | 3.2 | 1.2 | -0.9 | -2.9 | -5 | -7 | -9 | -22.1 | -0.221 | 0.779 | 2956.728933 |
2003 | 2.4 | 6.4 | 10.4 | 14.6 | 18.9 | 23.3 | 27.8 | 32.5 | 37.3 | 42.3 | 47.3 | 28.7 | 0.287 | 1.287 | 3805.310137 |
2004 | 3 | 5 | 7 | 9 | 11.1 | 13.1 | 15.2 | 17.4 | 19.5 | 21.7 | 23.9 | 10.9 | 0.109 | 1.109 | 4220.088942 |
2005 | 0.8 | 2.1 | 3.3 | 4.6 | 5.9 | 7.1 | 8.4 | 9.7 | 10.9 | 12.2 | 13.5 | 4.9 | 0.049 | 1.049 | 4426.8733 |
2006 | 2 | 4.1 | 6.2 | 8.4 | 10.6 | 12.9 | 15.1 | 17.4 | 19.7 | 22.1 | 24.5 | 15.8 | 0.158 | 1.158 | 5126.319282 |
2007 | 8.2 | 7.7 | 7.2 | 6.7 | 6.1 | 5.5 | 5 | 4.4 | 3.7 | 3.1 | 2.5 | 5.5 | 0.055 | 1.055 | 5408.266842 |
2008 | 7.1 | 1.2 | -4.4 | -9.8 | -14.9 | -19.9 | -24.6 | -29.2 | -33.6 | -37.7 | -41.7 | -37 | -0.37 | 0.63 | 3407.20811 |
2009 | 1 | 4.6 | 8.2 | 11.9 | 15.6 | 19.3 | 23.1 | 26.8 | 30.6 | 34.3 | 38 | 26.5 | 0.265 | 1.265 | 4310.11826 |
2010 | 4.5 | 6.2 | 7.9 | 9.6 | 11.2 | 12.8 | 14.4 | 15.9 | 17.4 | 18.8 | 20.2 | 15.1 | 0.151 | 1.151 | 4960.946117 |
2011 | 6.9 | 5.3 | 3.7 | 2.1 | 0.4 | -1.3 | -3 | -4.7 | -6.4 | -8.1 | -9.8 | 2.1 | 0.021 | 1.021 | 5065.125985 |
2012 | 2.4 | 4 | 5.6 | 7.2 | 8.8 | 10.4 | 11.9 | 13.5 | 15.1 | 16.7 | 18.2 | 16 | 0.16 | 1.16 | 5875.546143 |
2013 | -4.5 | -1.9 | 0.7 | 3.4 | 6.2 | 9 | 11.9 | 14.8 | 17.9 | 20.9 | 24.1 | 32.4 | 0.324 | 1.324 | 7779.223093 |
1. Arithmetic Average Return | 0.119227273 | ||||||||||||||
2. Geometric Average Return | 0.104017159 | 10.402% | |||||||||||||
2. Geometric Average Return | Geomen Function-1 | "Rate" Function | |||||||||||||
3. Standard Deviation of Returns | |||||||||||||||
4. Coefficion of deviation/arithmetic average return | 0 | ||||||||||||||
Source: | 2014 The Merriman Financial Education Foundation |
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