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Mispricing of S&P 500 Index Options

  • Stylianos Perrakis
  • Jens Carsten Jackwerth
  • George Constantinides

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.

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Paper provided by Warwick Business School, Finance Group in its series Working Papers with number wp05-07.

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Date of creation: 2005
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Handle: RePEc:wbs:wpaper:wp05-07
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