a$.$ What is the average monthly return for the stock since its IPO? The annualized rate of return?

b$.$ What is the annualized standard deviation since the IPO?

c$.$ What is the correlation of the stock price with the stock market?

d$.$ What is the Sharpe ratio for the stock?

e$.$ Develop a scatterplot of DPL$$s stock price and the market portfolio $($place DPL on the y$-$axis$).$ Do you see a pattern?

f$.$ What is the beta of DPL$$s stock price? What does this suggest in terms of risk?

g$.$ If you owned the stock, would you expect a higher return than the stock market? Why or why not?

h$.$ Is the S&P the appropriate benchmark for this stock? If not, which do you recommend?