Standard Deviation= Standard Deviation is a technique to measure risk. Standard Deviation is calculated on the basis of variation from arithmetic mean. It is pronounced as sigma. | ||||||||||||||||||
Formula | ||||||||||||||||||
Standard Deviation= | √Given return-average return/n | |||||||||||||||||
Calculation of Standard Deviation | ||||||||||||||||||
Step-1 Calculate average return | ||||||||||||||||||
Step-2 Calculate deviation of given return i.e. Given return-Average Return | ||||||||||||||||||
Step-3 Square of deviation | ||||||||||||||||||
S.No. | Given Return | Deviation=Given retun-Average Return | Square of Deviation | |||||||||||||||
1920 | 1930 | 1920 | 1930 | 1920 | 1930 | |||||||||||||
Stock | Bonds | Bills | Stock | Bonds | Bills | Stock | Bonds | Bills | Stock | Bonds | Bills | Stock | Bonds | Bills | Stock | Bonds | Bills | |
A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S |
1 | -17.90 | 5.80 | 7.60 | -28.30 | 4.70 | 2.40 | -32.84 | -0.20 | 2.86 | -33.58 | -0.28 | 1.83 | 1,078.47 | 0.04 | 8.18 | 1,127.62 | 0.08 | 3.35 |
2 | 11.60 | 12.70 | 7.00 | -43.90 | -5.30 | 1.10 | -3.34 | 6.7 | 2.26 | -49.18 | -10.28 | 0.53 | 11.16 | 44.89 | 5.11 | 2,418.67 | 105.68 | 0.28 |
3 | 30.60 | 3.50 | 4.70 | -9.80 | 16.80 | 1.00 | 15.66 | -2.5 | -0.04 | -15.08 | 11.82 | 0.43 | 245.24 | 6.25 | 0.00 | 227.41 | 139.71 | 0.18 |
4 | 3.00 | 5.70 | 5.20 | 57.60 | -0.10 | 0.30 | -11.94 | -0.3 | 0.46 | 52.32 | -5.08 | -0.27 | 142.56 | 0.09 | 0.21 | 2,737.38 | 25.81 | 0.07 |
5 | 27.00 | 6.40 | 4.10 | 4.40 | 10.00 | 0.20 | 12.06 | 0.4 | -0.64 | -0.88 | 5.02 | -0.37 | 145.44 | 0.16 | 0.41 | 0.77 | 25.20 | 0.14 |
6 | 28.30 | 5.70 | 4.10 | 44.00 | 5.00 | 0.20 | 13.36 | -0.3 | -0.64 | 38.72 | 0.02 | -0.37 | 178.49 | 0.09 | 0.41 | 1,499.24 | 0.00 | 0.14 |
7 | 9.50 | 7.80 | 3.30 | 32.30 | 7.50 | 0.20 | -5.44 | 1.8 | -1.44 | 27.02 | 2.52 | -0.37 | 29.59 | 3.24 | 2.07 | 730.08 | 6.35 | 0.14 |
8 | 33.10 | 8.90 | 3.10 | -34.60 | 0.20 | 0.30 | 18.16 | 2.9 | -1.64 | -39.88 | -4.78 | -0.27 | 329.79 | 8.41 | 2.69 | 1,590.41 | 22.85 | 0.07 |
9 | 38.70 | 0.10 | 3.60 | 28.20 | 5.50 | 0.00 | 23.76 | -5.9 | -1.14 | 22.92 | 0.52 | -0.57 | 564.54 | 34.81 | 1.30 | 525.33 | 0.27 | 0.32 |
10 | -14.50 | 3.40 | 4.70 | 2.90 | 5.50 | 0.00 | -29.44 | -2.6 | -0.04 | -2.38 | 0.52 | -0.57 | 866.71 | 6.76 | 0.00 | 5.66 | 0.27 | 0.32 |
Total | 149.40 | 60.00 | 47.40 | 52.80 | 49.80 | 5.70 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 3,591.98 | 104.74 | 20.38 | 10,862.58 | 326.22 | 5.02 |
N=Number of Data | ||||||||||||||||||
n= 10 | ||||||||||||||||||
Average Return= Sum of Given Return/n | ||||||||||||||||||
Particulars | Average Return | Square of Deviation | N | Square of Deviation/N | √Square of Deviation/n | |||||||||||||
A | B | C | D=Calculated Above | E= No of data | F=D^2 | G=√F | ||||||||||||
1920 | Stock | 14.94 | 3,591.98 | 10 | 359.20 | 18.95 | ||||||||||||
Bonds | 6 | 104.74 | 10 | 10.47 | 3.24 | |||||||||||||
Bills | 4.74 | 20.38 | 10 | 2.04 | 1.43 | |||||||||||||
1930 | Stock | 5.28 | 10,862.58 | 10 | 1,086.26 | 32.96 | ||||||||||||
Bonds | 4.98 | 326.22 | 10 | 32.62 | 5.71 | |||||||||||||
Bills | 0.57 | 5.02 | 10 | 0.50 | 0.71 |
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