In this paper, motivated by existing and growing evidence on multiple macroeconomic volatilities, we extend the long-run risks model of Bansal and Yaron (2004) by allowing both a long- and a short-run volatility components in the evolution of economic fundamentals. With this extension, the new...

In this paper we empirically study the variance term structure using VIX futures market. We first derive a new pricing framework for VIX futures that is convenient to study variance term structure dynamics. We construct five models and use Kalman filter and Maximum Likelihood method for model...

Volatility long memory is a stylized fact that has been documented for a long time. Existing literature have two ways to model volatility long memory: component volatility models and fractionally integrated volatility models. This paper develops a new fractionally integrated GARCH model, and...