We show that the compensation for rare events accounts for a large fraction of the average equity and variance risk premia. Exploiting the special structure of the jump tails and the pricing thereof we identify and estimate a new Investor Fears index. The index suggests both large and...

We investigate the asymptotic properties of an existing high frequency realized skewness measure and propose a more reliable new estimator which is robust to the microstructure noise at ultra-high frequency level. Asymptotic theory for the new estimator has been derived. Simulation example...

We show that the compensation for rare events accounts for a large fraction of the equity and variance risk premia in the S&P 500 market index. The probability of rare events vary significantly over time, increasing in periods of high market volatility, but the risk premium for tail events...

We provide theoretical and empirical justifications for linking the realised co-skewness between the VIX and the S&P 500 to conditional equity premiums. The realised co-skewness, as a measure of hedging benefits, shows a significant (and independent to that of the variance risk premium) negative...

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 (integrated) VMOU processes are presented. Further we study the...

In this paper we introduce the Extended Method of Moments (XMM) estimator. This estimator accommodates a more general set of moment restrictions than the standard Generalized Method of Moments (GMM) estimator. More specifically, the XMM differs from the GMM in that it can handle not only uniform...

This paper features a statistical analysis of the independence of the core Fama/French factors; SMB and HML, using daily data, of the factor return series, for the USA, Developed Markets and Japan, using a sample taken from the data-sets that are available on French's website. The various series...

This paper uses the method developed by Bollerslev and Todorov (2011b) to estimate risk premia for extreme events for the US and the German stock markets. The method extracts jump tail measures from high-frequency futures price data and from options data. In a second step, jump tail...

We document that properly scaled deviations from put-call parity estimate the contribution of market frictions to expected returns (CFER) accurately, by means of a non-parametric theoretically founded identification strategy. The required conditions are that our estimator predicts the underlying...

This paper uses the method developed by Bollerslev and Todorov (2011b) to estimate risk premia for extreme events for the US and the German stock markets. The method extracts jump tail measures from high-frequency futures price datav and from options data. In a second step, jump tail...