What moves the tail? The determinants of the option‐implied probability density function of the DAX index

In this article a study of the option‐implied probability density function (PDF) of German stock returns is presented. The use of option prices allows for the quantification of the risk‐neutral probability of large movements in the DAX index. Using daily data for the period from December 1995 to May 2002, the mixture of log‐normals specification with a constant maturity of 49 days is estimated. The time series behavior of the option‐implied PDF during episodes of market turbulence is discussed at the outset. The main purpose of the study is to consider the relationship of summary measures of the option‐implied PDF to macroeconomic news, information from the U.S. stock market, and risk premia. The results suggest the existence of a significant spillover from the U.S. stock market. Returns and the volatility of U.S. stock prices have a strong effect on changes in the lower DAX tail probability, but also on the higher moments of the option‐implied PDF. © 2005 Wiley Periodicals, Inc. Jrl Fut Mark 25:515–536, 2005