answer all questions with explanation

Question 1 (10 pts) Returns on the S&P. The return on a stock is the change in its market price plus any dividend payments made over some period. Total return is usually expressed as a percentage of the beginning price. Figure 1.19 is a histogram of the distribution of the annual combined returns for all stocks listed on the S&P 500 from 1928 to 2018 (91 years). a) (2.5 pts) Describe the overall shape of the distribution of monthly returns. b) (2.5 pts) What is the approximate center of this distribution? (For this question, take the center to be the value with roughly half the years having lower returns and half having higher returns.) c) (2.5 pts) Approximately what were the smallest and largest annual returns? (This is one way to describe the variability of the distribution.) d) (2.5 pts) A return less than zero means that stocks lost value in that year. About what percentage of all years had returns less than zero? 20 15 Number of years 10 20 40 60 Annual percentage return