$1.$Are stock prices a random walk?

a$)$ Go to finance.yahoo.com and download Apple$$s $($AAPL$)$ entire price history on daily basis to an Excel spreadsheet.

b$)$ Calculate daily returns $($percent change in the adjusted closing price$).$

c$)$ How many days was the stock up$/$down$/$no change from the IPO date to the most recent trading day?

d$)$ Also compute the total and annual return to this stock

e$)$ Is Apple$$s stock price series a random walk based on your computation? Explain your reasoning.