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P10-9 (similar to) b. What was the annual volatiity for Microsoft stock from spreadheet) S&P 00 Realined S&P 500 Year End 220
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Answer #1

Average annual return = 8.62%

Annul volatility (or standard deviation) = 25.97%

Year (n = 13) Microsoft return (%) (Return - average) (Return - average)^2
2002 -22.00% -30.62%                     0.0937
2003 6.80% -1.82%                     0.0003
2004 8.90% 0.28%                     0.0000
2005 -0.90% -9.52%                     0.0091
2006 15.80% 7.18%                     0.0052
2007 20.80% 12.18%                     0.0148
2008 -44.40% -53.02%                     0.2811
2009 60.50% 51.88%                     0.2692
2010 -6.50% -15.12%                     0.0228
2011 -4.50% -13.12%                     0.0172
2012 5.80% -2.82%                     0.0008
2013 44.20% 35.58%                     0.1266
2014 27.50% 18.88%                     0.0357
Total 112.00%                     0.8765
Average (Total/n) 8.62%

Standard deviation = [Sum of (return - average)^2/n ]^(0.5)

= [0.8765/13]^0.5

= 25.97%

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