Testing procedures for predictive regressions with lagged autoregressive variables imply a suboptimal inference in presence of small violations of ideal assumptions. We propose a novel testing framework resistant to such violations, which is consistent with nearly integrated regressors and...

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 downward sloping term structure of low-frequency variance...

We propose a model-free method for measuring the jump skewness risk premium via a tradingstrategy. We find that in the S&P 500 option market, the premium is positive and greater inabsolute terms than the variance premium. The trading strategy allows for examining the premiumin different holding...