The following table gives the value of the Dow Jones Industrial Average (DJIA), NASDAQ, and the S&P 500 on the first day of trading for the years 2010 through 2013.

a For each stock index, compute the rate of return from 2010 to 2011, from 2011 to 2012, and from 2012 to 2013.

b Calculate the geometric mean rate of return for each stock index for the period from 2010 to 2013.

c Suppose that an investment of $100,000 is made in 2010 and that the portfolio performs with returns equal to those of the DJIA. What is the investment worth in 2013?

d Repeat part c for the NASDAQ and the S&P 500.