Assume the annual returns on a stock portfolio are normally distributed with a mean of 14.7%

and a standard deviation of 33%. A return of 0% indicates the value of the portfolio does not

change.

a) What is the probability that in any given year the portfolio will lose money?

b) What is the probability that in any given year the portfolio will have at least a 50% return?

c) What is the probability that in any given year the portfolio will have a return between 25%

and 75%?

d) Calculate the return value that marks off

the lowest 10% of annual returns for this portfolio.

e) What is the probability that four of the next ten years will have a return greater than 50%?

Comment on the validity of any assumptions required to make this calculation.

Just part E needed!