In this paper we investigate VIX dynamics through a two-factor Gaussian model, following Avellaneda and Papanicolaou (2019). Two strategies were adopted. First, we considered constant market price of risk. Second, we included time-varying market price of risk. In both cases, we estimated the...

Closed-form pricing formulae and option Greeks are obtained for European-type options using an orthogonal polynomial series -- complex Fourier series. We assume that risky assets are driven by exponential Lévy processes and stochastic volatility models. We provide a succinct error analysis to...

This paper investigates the intraday volatility pattern of the E-mini SP500 hourly returns. In order to account for the observed long memory and periodicity in returns volatility we introduce the Fractionally Integrated Periodic EGARCH and the Seasonal Fractional Integrated Periodic EGARCH. For...

It is common practice to identify the number and sources of shocks that move implied volatilities across space and time by applying Principal Components Analysis (PCA) to pooled covariance matrices of changes in implied volatilities. This approach, however, is likely to result in a loss of...

Stock market volatility clusters in time, appears fractionally integrated, carries a risk premium, and exhibits asymmetric leverage effects relative to returns. At the same time, the volatility risk premium, defined by the difference between the risk-neutral and objective expectations of the...

In this paper we introduce a discrete time pricing model for a European call option when the log-return of the underlying stock (asset) is subject to discontinuous market regime type of shifts in its mean or volatility whose risk can be priced in the market. The paper shows how to estimate this...

Stock market volatility clusters in time, appears fractionally integrated, carries a risk premium, and exhibits asymmetric leverage effects relative to returns. At the same time, the volatility risk premium, defined by the difference between the risk-neutral and objective expectations of the...

This paper studies the information content of the S&P 500 and VIX markets on the volatility of the S&P 500 returns. We estimate a flexible affine model based on a joint time series of underlying indexes and option prices on both markets. An extensive model specification analysis reveals that...

This paper proposes and estimates dynamic hedge ratios using a Vector Error Correction Markov Switching Multifractal (VEC-MSM) model, and examines its hedging effectiveness using conditional VaR coverage. The VEC-MSM model introduces an error correction mechanism in the mean equation that...