Build a binomial option pricing model for different types of options. The model will price options with a maturity of up to 36 months. One period for the model should equal one month. The model will price the following types of options: Put Call Down and Out Call Down and In Put UP if the underlying stock price hits the barrier (which is above the current stock price), the buyer of the option is paid a fixed amount of money. (Premium can be expressed as a percentage of this payout.) DOWN if the underlying stock price hits the barrier (which is below the current stock price), the buyer of the option is paid a fixed amount of money. (Premium can be expressed as a percentage of this payout.) Bonus Call this option includes the use of a barrier level which is above the strike price of the call option. If the stock price hits that barrier level at any point, then the value of the call option at expiration will be worth 2x an ordinary call option.

On the User Page -- User Inputs: (10 points) Stock Price Strike Price Barrier(s) Maturity Implied Volatility (Use a 4% annual interest rate.) Build stock tree given implied volatility, stock price, and maturity. (30 points) Price call and put. (10 points each). Price DO and DI call (10 points each). Price UP and DOWN options (10 points each). Price Bonus Call (20 points each). Display the premium of all options on the User Page, regardless of maturity. (10 points)