In: Statistics and Probability
|
Table 1: Global Balanced Index Fund Total Returns, 1999-2008 |
|
|
Year |
Return |
|
1999 |
50.21% |
|
2000 |
-2.18% |
|
2001 |
12.04% |
|
2002 |
26.87% |
|
2003 |
49.90% |
|
2004 |
24.32% |
|
2005 |
45.20% |
|
2006 |
-5.53% |
|
2007 |
-13.75% |
|
2008 |
-39.06% |
a. Calculate the mean absolute deviation (MAD).
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Calculation of MAD for Germany Index Total Returns, 1999-2008 |
|||
|
Year |
Return |
||
|
1999 |
50.21% |
||
|
2000 |
-2.18% |
||
|
2001 |
12.04% |
||
|
2002 |
26.87% |
||
|
2003 |
49.90% |
||
|
2004 |
24.32% |
||
|
2005 |
45.20% |
||
|
2006 |
-5.53% |
||
|
2007 |
-13.75% |
||
|
2008 |
-39.06% |
||
|
Calculation of Variance for Germany Index Total Returns, 1999-2008 |
|||
|
Year |
Return |
||
|
1999 |
50.21% |
||
|
2000 |
-2.18% |
||
|
2001 |
12.04% |
||
|
2002 |
26.87% |
||
|
2003 |
49.90% |
||
|
2004 |
24.32% |
||
|
2005 |
45.20% |
||
|
2006 |
-5.53% |
||
|
2007 |
-13.75% |
||
|
2008 |
-39.06% |
||
d. Calculate the semi variance (the average squared deviation below the mean), a measure of downward risk.