In a tractable stochastic volatility model, we identify the price of the smile as the price of the unspanned risks … traded in SPX option markets. The price of the smile reflects two persistent volatility and skewness risks, which imply a …-form and structural models of stochastic volatility …

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 …

In recent years there has been a remarkable growth of volatility options. In particular, VIX options are among the most … actively trading contracts at CBOE. These options exhibit upward sloping volatility skew and the shape of the skew is largely … independent of the volatility level. To take into account these stylized facts, this article introduces a novel two …

stochastically correlated default intensities, or multivariate dynamic portfolio choice with volatility and correlation jumps. We … implied volatility skew term structures that are largely unrelated to the level and composition of the spot volatility. This … options. Second, we find that volatility and correlation jumps can imply an economically relevant intertemporal hedging demand …

We develop a novel method to decompose a straddle into a volatility risk portfolio and a jump risk portfolio. The …. We use the straddle decomposition to analyze the volatility risk premium and the jump risk premium embedded in a straddle … volatility risk portfolio persistently generates positive returns during earnings announcement periods …

Empirical evidence suggests that fixed income markets exhibit unspanned stochastic volatility (USV), that is, that one … cannot fully hedge volatility risk solely using a portfolio of bonds. While Collin-Dufresne and Goldstein (2002) showed that …

financial market that features volatility uncertainty. To have a mathematical consistent framework we use the notion of G … this more complex situation and consider stock price dynamics which exclude arbitrage opportunities. Due to volatility … claims and deduce explicit results in a Markovian setting. -- Pricing of contingent claims ; incomplete markets ; volatility …

prices caused by stochastic volatility. -- option pricing ; autoregression ; heteroskedasticity ; GARCH ; leverage effect …

the derivation of a unique variance risk premium and price of volatility risk based only on the underlying return and … volatility dynamics for a wide class of stochastic volatility (SV) models. The SD approach also derives under similar conditions … volatility risk prices yield in option values in comparison to prices extracted from observed option market data. We also present …

The quintic Ornstein-Uhlenbeck volatility model is a stochastic volatility model where the volatility process is a … a simple integration against a Gaussian density; simulation of the volatility process is exact; and pricing SPX products …