Hedging price changes in the S%P 500 options and futures contracts: the effect of different measures of implied volatility

We evaluate the performance of delta, delta-gamma and delta-vega hedges on the S%P 500 futures options with a particular focus on importance of daily volatility updating and the use of price-change implied volatility. Our findings indicate that the hedging performance of Black's model improves with daily updating of implied volatility and fitted price-change implied volatility for both calls and puts. Surprisingly, neither directly estimated implied price-change volatility nor introduction of additional traded option to the hedging portfolio seems to improve the hedging performance.