Order flow is toxic when it adversely selects market makers, who may be unaware they are providing liquidity at a loss. We present a new procedure to estimate flow toxicity based on volume imbalance and trade intensity (the VPIN toxicity metric). VPIN is updated in volume-time, making it...

The corporate governance problems of banks are qualitatively and quantitatively different from those of other firms. The authors argue that a key factor contributing to this difference is the growing opacity and complexity of bank activities, a trend that has increased the difficulty of managing...

We investigate the new reality of exchange-traded funds (ETFs). We show that many ETFs are active investments in form (designed to generate alpha) or function (serve as building blocks of active portfolios). The median ETF has an Activeness Index of 93.1%. Active-in-form ETFs have positive...

Beginning in early 2021, surging volume in Berkshire Hathaway A (BRK.A) has captured the attention of market watchers. Averaging volume of just 375 shares a day over the previous decade, the market’s most expensive stock routinely traded additional volume equivalent to more than a billion...