AVERAGE ANNUAL RETURNS, ARITHMETIC AVERAGES & STANDARD DEVIATIONS Here are the total returns for the S&P500 for the first ten years of this century. Assume you invested $1 in the S&P500 on January 1, 2001. In the first year, you lost 11.85% of your money. Year Return 2001 -11.85% 2002 -21.97% 2003 28.36% 2004 10.74% 2005 4.83% 2006 15.61% 2007 5,48% -36.55% 2008 2009 26.94% 2010 18.00% 4 points. Q1. If you invested $1 at the beginning of the time frame (1/1/2001), how much would it be worth five years later? Show work and calculations. 4 points. 02. If you invested $1 at the beginning of the time frame (1/1/2001), how much would it be worth ten years later? Show work and calculations, 4 points. Q3. What was the arithmetic return for the 10-year period? 4 points. 04. What was the standard deviation of returns for the 10-year period? 2 points. 05. What was the variance of returns for the 10-year period? 2 points. 06. If you assumed returns were "normally distributed", what range of returns would you expect 68% of the time for a given year