A stock price is currently $40. Over each of the next two 3-month periods it is expected to go up by 10% or down by 10%. The risk-free interest rate is 12% per annum withcontinuous compounding.
(a) What is the value of a 6-month European put option with a strike price of $42?
(b) What is the value of a 6-month American put option with a strike price of $42?