We introduce a discrete-time model for log-return dynamics with observable volatility and jumps. Our proposal extends … the class of Realized Volatility heterogeneous auto-regressive gamma (HARG) processes adding a jump component with time … compensating for equity, volatility, and jump risks, the generating function under the risk-neutral measure inherits analytical …

premium. Empirical estimation exercises show that the GARCH option-pricing models under our mLRNVR are able to price the SPX … one-month variance swap rate, i.e., the CBOE Volatility Index (VIX) accurately. Our research suggests that one should use …

This paper introduces a new class of stochastic volatility models which allows for stochastic volatility of volatility … (SVV): Volatility modulated non-Gaussian Ornstein-Uhlenbeck (VMOU) processes. Various probabilistic properties of …

effects, i.e., it is possible that the structure of the volatility surface changes without a change in the volatility level … state, I show that this superior performance is directly linked to a third volatility factor which is unrelated to the … volatility level. The second chapter studies the price of the smile, which is defined as the premia for individual option risk …