Equi-spaced sampling is the norm in applied work using high-frequency data. Due to trade intermittency, however, this traditional sampling scheme amounts to implicit random sampling. Under implicit random sampling and on continuous trajectories, we quantify the asymptotic biases of even realized...

The market for ultra short-term (zero days-to-expiry or 0DTE) options has grown exponentially over the last few years. In 2023, daily volume in 0DTEs reached over 45% of overall daily options volume. After briefly describing this exploding new market, we present a novel pricing formula designed...

We model predictive frequency-specific cycles. By employing suitable matrix representations, we express lead values of covariance-stationary multivariate time series in terms of conditionally orthonormal frequency-specific basis. The representations yield conditionally orthogonal decompositions...

A novel closed-form pricing formula for short-maturity options is employed to jointly identifyequity characteristics (spot volatility, spot leverage, and spot volatility of volatility) which havebeen the focus of large, but separate, strands of the literature. Interpreting equity as a call...

Even after being orthogonalized with respect to the dividend-price ratio, the volatility of total factor productivity (TFP volatility) is shown to have similar long-run predictive ability for excess market returns as the dividend-price ratio itself. When seen through an asset pricing lens, this...

Do hedge funds hedge? In negative states of the world, often not as much as they should. For several styles, we report larger market betas when market returns are low (i.e., “beta in the tails”). We justify this finding through a combination of negative-mean jumps in the market returns and...

We show that a business-cycle component of consumption growth (dubbed business-cycle consumption) with cycles between 2 and 4 years is effective in explaining the differences in risk premia across alternative test assets, including recently-proposed anomaly portfolios. We formalize the mapping...