A stock price is currently $100. Over each of the next two six-month periods it is expected to go up by 14% or down by 14%. The risk-free interest rate is 8% per annum with continuous compounding. What is the value of a one-year European put option with a strike price of $110

The state in which the manufacturing company you work for is located regulates the presence of a particular substance in the environment to concentrations ≤ x. recently-released, reliable research endorsed by the responsible federal agency conclusively demonstrates that the substance poses no risks at concentrations up to 5x. your company has asked you to consider designing a new process with a waste discharge stream containing up to 2x of the substance. based on the stated conditions, describe this possible.