Suppose a stock has annual expected return and standard deviation u = 0.20 and 0 = 0.25. The current price of the stock is s = $50. Suppose that At = 1week. a. Find the distribution of the return of the stock during At. b. Simulate the path of the stock from now until 1 year from now (52 weeks). Submit the random samples and the plot of the price of the stock against time. Suppose a stock has annual expected return and standard deviation u = 0.20 and 0 = 0.25. The current price of the stock is s = $50. Suppose that At = 1week. a. Find the distribution of the return of the stock during At. b. Simulate the path of the stock from now until 1 year from now (52 weeks). Submit the random samples and the plot of the price of the stock against time