Question 1 (20 marks) Angela plans to invest $200,000 in the stock of Company A (stock A) and expects to hold this stock for 4 years with the aim to achieve a medium term capital gain. She plans to reinvest all returns in the same stock in the next years and will not sell any stocks in future. Benny also plans to invest in stock A today with the same amount as Angela. He expects to draw out annual returns earned from Stock A for his spending. The investment returns of Stock A in the coming four years are shown as below: a) Calculate the total value of the stock owned by Angela and Benny respectively at the end of year 4. (6 marks) b) Based on the investment returns of Stock A in the four years, i. Calculate the Geometric Average Annual Return \% of Angela's investment. ii. Calculate the Arithmetic Average Annual Return \% of Benny's investment. (6 marks) c) Assuming that the returns of Stock A follows a normal distribution and the estimated returns in the coming four years are good estimates of return in year 5 . i. Calculate the variance and standard deviation of Stock A returns \%. ii. Estimate the range of returns % in year 5 for Stock A with the probability of 99% ? (8 marks)