Suppose you deposit $1,000 into a fund at the start of the year. At the end of the year it is now worth $1,100, so you decide to invest another $500. At the end of the second year, the fund is only worth $1,300, so you decide to withdraw $500. At the end of year 3 , the fund is worth $1,000 again. (a) Estimate the dollar weighted rate of return, using the simple interest approximation. (b) Compute the time weighted rate of return. (c) How can you explain why these values are different? (Use plain English as if you were explaining this to your friend, who was the investor in this case and is unhappy with the performance.)