@techreport{NBERw14544, title = "Mispricing of S&P 500 Index Options", author = "George M. Constantinides and Jens Carsten Jackwerth and Stylianos Perrakis", institution = "National Bureau of Economic Research", type = "Working Paper", series = "Working Paper Series", number = "14544", year = "2008", month = "December", URL = "http://www.nber.org/papers/w14544", abstract = {Widespread violations of stochastic dominance by one-month S&P 500 index call options over 1986-2006 imply that a trader can improve expected utility by engaging in a zero-net-cost trade net of transaction costs and bid-ask spread. Although pre-crash option prices conform to the Black-Scholes-Merton model reasonably well, they are incorrectly priced if the distribution of the index return is estimated from time-series data. Substantial violations by post-crash OTM calls contradict the notion that the problem primarily lies with the left-hand tail of the index return distribution and that the smile is too steep. The decrease in violations over the post-crash period 1988-1995 is followed by a substantial increase over 1997-2006 which may be due to the lower quality of the data but, in any case, does not provide evidence that the options market is becoming more rational over time.}, }