A stock price is currently $50. Assume that the expected return from the stock is 18% per annum and its volatility is 30% per annum. What is the probability distribution for the stock price in two years (using lognormal distribution)?

a) Calculate the mean and standard deviation of the distribution.

b) Determine the 95% confidence interval.

c) In the real world are stock prices log-normally distributed? Give evidence for your answer.