This paper uses information on VIX to improve the empirical performance of GARCH models for pricing options on the S&P 500. In pricing multiple cross-sections of options, the models’ performance can clearly be improved by extracting daily spot volatilities from the series of VIX rather than by...

The bias between the expected realised variance under the historical measure and the risk neutral probability introduces the concept of the risk premium. How does the market variance risk premium vary over time or look like in the future? Our work introduced a probabilistic modeling of the...