This paper studies the information content of the S&P 500 and VIX markets on the volatility of the S&P 500 returns. We … risk-neutral distributions as well as the term structure of volatility smiles and of variance risk premia. We find that the …

The 1987 market crash was associated with a dramatic and permanent steepening of the implied volatility curve for …

stochastically correlated default intensities, ormultivariate dynamic portfolio choice with volatility and correlation jumps. We then … dynamic portfolio choice. First, we find that a three-factor matrix AJD model can generatevariations of the implied volatility … skew term structures that are largely unrelated to the level andcomposition of the spot volatility.[...] …

volatility and risk aversion that are similar to the ones observed in the data. In addition, the model produces an implied …

This paper provides regime-switching stochastic volatility extensions of the LIBOR market model. First, the … instantaneous forward LIBOR volatility is modulated by a continuous time homogeneous Markov chain. In a second parameterization, the … volatility is modelled by a square root process with a regime-switching reference level. We obtain analytical solutions for the …

new explanation of the smile pattern of implied volatility related to the lack of market liquidity. Finally we present …