This paper provides a short update of volatility research surveyed in Poon and Granger (2003). While the last few years saw major advancement in the theoretical and empirical studies of realised volatility and the dynamic relationship between stock price, volatility and jumps, the biggest...

Abstract Using the joint characteristic function of equity price and state variables, we can price contingent claims on both equity and VIX consistently. Based on linear approximation of jump size, we show that one factor models implies all VIX future contract of different maturities are...

We introduce a stochastic volatility model with self-exciting jump intensity to capture the change in pricing dynamic triggered by big negative stock returns. The stochastic variance and jump intensity, and their risk premium are estimated jointly from daily stock returns and option data over...

Using the joint characteristic function of equity price and state variables, we can price contingent claims on both equity and VIX consistently. Based on linear approximation of jump size, we show that one factor models implies all VIX future contract of different maturities are perfectly...

We introduce a stochastic volatility model with self-exciting jump intensity to capture the change in pricing dynamic triggered by big negative stock returns. The stochastic variance and jump intensity, and their risk premium are estimated jointly from daily stock returns and option data over...