This paper examines continuous-time models for the S&P 100 index and its constituents. We find that the jump process of the typical stock looks significantly different than that of the index. Most importantly, the average size of a jumps in the returns of the typical stock is positive, while it...

We study a long-run risk model with a stochastic consumption growth rate, a stochastic volatility, a stochastic jump intensity, and a stochastic mean reversion level for the latter two processes. First, using a square-root specification instead of the Ornstein-Uhlenbeck process suggested by...

We generalize and extend the long-run risk model by Drechsler and Yaron (201'7 by separating the processes for the jump intensity and the stochastic conditional variance. Furthermore we replace their Ornstein-Uhlenbeck specification for the long-run mean of the conditional variance by a...

We propose a long-run risk model with stochastic volatility, a time-varying mean reversion level of volatility, and jumps in the state variables. The special feature of our model is that the jump intensity is not affine in the conditional variance but driven by a separate process. We show that...