Additional Information in Higher Order Derivatives of the Black-Scholes Formula
Volatility smile arising from the Black-Scholes model is a long studied subject in option pricing theory. By analysing higher order derivatives of the model, I hope to put another perspective to the problem. Accoridng to a study on the American S&P 500 future options, about 90% of the risks of holding an option in five days can be removed by using higher order derivatives of Black-Scholes. The