You have bought a stock for a $100. You are expecting to get a return of 10% while the volatility of your stock is 20%. if you intend to sell the stock after one year.

a- What is the stock price range (upper and lower bound) assuming that the stock returns are normally distributed, and a two-tailed confidence interval of 90%? explain your answer.

b- What is the Value at Risk of this investment at a confidence interval of 90% and 95%? explain your answer.

c- What are the similarities and differences in calculating the above questions (a and b)? Please support your answer by drawing the needed figures showing each case.