Pricing and hedging S&P 500 index options with Hermite polynomial approximation: empirical tests of Madan and Milne's model

The universal use of the Black and Scholes option pricing model to value a wide range of option contracts partly accounts for the almost systematic use of Gaussian distributions in finance. Empirical studies, however, suggest that there is an information content beyond the second moment of the distribution that must be taken into consideration.This article applies a Hermite polynomial-based model developed by Madan and Milne (1994) to an investigation of S&P 500 index option prices from the CBOE when the distribution of the underlying index is unknown. The model enables us to incorporate the non-normal skewness and kurtosis effects empirically observed in option-implied distributions of index returns. Out-of-sample tests confirm that the model outperforms Black and Scholes in terms of pricing and hedging. © 1999 John Wiley & Sons, Inc. Jrl Fut Mark 19: 735–758, 1999     

S&P Downgrade Positive for China's Stock Market in the Long Run

The Standard & Poor's(S&P) rating agency announced Friday night(August 5) that it has downgraded the U.S.debt from a stellar AAA rating by a notch to AA+,and lowered the outlook on the new U.S.credit rating to negative, indicating that another downgrade was possible within one year or two.After the downgrade,it was largely expected