price is determined largely by the operation of algorithms called “models.” The original model that created the modern world of options trading was the Black-Scholes options analysis model, which assumed the “fair value” of an option could be determined by entering five parameters into the formula: the strike price of the option, the price of the stock, the “risk-free” interest rate, the time to expiration, and the volatility of the stock. The eventual universal acceptance of this model resulted in the derivatives industry we have today. To list all the forms of derivatives available for trading today would be to expand this book by many pages, and it is not the purpose of this book anyway. The purpose of this paragraph is to sternly warn general investors who are thinking of “beating the derivatives markets” to undergo rigorous training first. The alternative could be extremely expensive. At first, the traders who saw the importance of this model and used it to price options virtually skinned older options traders and the public, who traded pretty much by the seat of the pants or the strength of their convictions, meaning human emotion. But professional losers learn fast and now all competent options traders use some sort of model or anti-model, or anti-antimodel to trade. True to form, options sellers, who are largely professionals, take most of the public's (the buyers) money. This is the way of the world. Options pricing models and their importance After the introduction of the Black-Scholes model, numerous other models followed, among them the Cox-Ross-Rubinstein, the Black Futures, and others. For the general investor, the message is this: he must be acquainted with these models and what their functions are if he intends to use options. Recall, the model computes the “fair value” of the option. One way professionals make money off amateurs is by selling overpriced options and buying underpriced options to create a relatively lower risk spread (for themselves). Not knowing what these values are for the private investor is like not knowing where the present price is for a stock; it is a piece of ignorance for which the professional will charge him a premium to be educated about. Unfortunately, many private options traders never get