We compare density forecasts of the S&P 500 index from 1991 to 2004, obtained from option prices and daily and 5-min index returns. Risk-neutral densities are given by using option prices to estimate diffusion and jump-diffusion processes which incorporate stochastic volatility. Three...

We compare density forecasts of the Samp;P 500 index from 1991 to 2004, obtained from option prices and daily and five-minute index returns. Risk-neutral densities are given by using option prices to estimate diffusion and jump-diffusion processes, that incorporate stochastic volatility, and...