For purposes of Value-at-Risk estimation, we consider three multivariate families of heavy-tailed distributions, which can be seen as multidimensional versions of Paretian stable and Student's t distributions allowing different marginals to have different tail thickness. After a discussion of...

We combine risk-neutral densities from equity index options with realized index returns to estimate the market's risk aversion. Starting from a power utility framework with constant risk aversion, we extend it by more flexible stochastic discount factors. We allow for time-varying risk aversion...