We investigate the relation between price discreteness and the number of dealers in a dealer market. We present a model featuring a finite number of dealers competing in prices for supplying liquidity to a forthcoming market order. We find that a decrease in tick size benefits dealers and tends to hurt investors when the number of dealers for a stock is small. In contrast, a decrease in tick size hurts dealers and benefits investors when the number of dealers is large. This result yields several new empirical implications relating a change in tick size to entry and exit of dealers, order aggressiveness and transaction rates.

[We consider the choice between stocks and options to provide effort incentives to a risk-averse manager. We show that stocks can dominate options as a means of motivation only if nonviability risk is substantial, as in financially distressed firms or start-ups. Options dominate stocks for other firms. These results hold regardless of the existing portfolio of the manager. We provide empirical evidence that higher bankruptcy risk is indeed correlated with more use of stock.]

[We argue that dividend stickiness, the tendency of managers to keep dividends unchanged, implies that managers use a partially pooling dividend policy. We offer a model that demonstrates how such a policy can evolve endogenously in equilibrium. An informed manager who cares about the firm's intrinsic value as well as short-term stock price allocates earnings between investments and dividends. We show that there is a continuum of equilibria in which the dividend is constant for a range of realized earnings. Compared with the standard separating equilibrium, this partial pooling behavior induces higher firm value and lower underinvestment. We offer new empirical implications relating the pooling nature of dividend stickiness to the information environment of the firm, dividend prediction models, managerial incentives, and investment.]

We develop a dynamic model of a limit order market populated by strategic liquidity traders of varying impatience. In equilibrium, patient traders tend to submit limit orders, whereas impatient traders submit market orders. Two variables are the key determinants of the limit order book dynamics in equilibrium: the proportion of patient traders and the order arrival rate. We offer several testable implications for various market quality measures such as spread, trading frequency, market resiliency, and time to execution for limit orders. Finally, we show the effect of imposing a minimal price variation on these measures.

[We study the effect of the Global Analyst Research Settlement and related regulations on sell-side research. These regulations attempted to mitigate the interdependence between research and investment banking. We document that following the regulations many brokerage houses have migrated from the traditional five-tier rating system to a three-tier system. Optimistic recommendations have become less frequent and more informative, whereas neutral and pessimistic recommendations have become more frequent and less informative. Importantly, the overall informativeness of recommendations has declined. The likelihood of issuing optimistic recommendations no longer depends on affiliation with the covered firm, although affiliated analysts are still reluctant to issue pessimistic recommendations.]

In Kyle (1985), the ratio of fundamental variance to price impact measures the value of information to a monopolist strategic informed investor. We show that this same statistic provides an approximation for the value of information in a more general setting with multiple differentially informed investors, and estimate it using high-frequency stocks data. We find that the value of information rises during crises. The value of information is higher for large, growth, and momentum stocks. Its most dramatic spikes occur at the start of the Covid-19 pandemic and the financial crisis of 2008, when the Fed announces liquidity facilities.

Stock liquidity has improved over the recent 4 decades. This improvement was accompanied by a dramatic increase in trading activity. The net effect on the liquidity premium is ambiguous. We show that the characteristic liquidity premium of U.S. stocks has significantly declined over the past 4 decades. In recent years, characteristic liquidity is significantly priced only for the smallest common stocks. This decline stems from an improvement in liquidity and from a lower sensitivity of expected returns to liquidity. By contrast, systematic liquidity has not been trending down and is still significantly priced primarily among NASDAQ stocks.

Traditional performance evaluation measures do not account for tail events and rare disasters. To address this issue, we reinterpret the riskiness measures of Aumann and Serrano (2008) and Foster and Hart (2009) as performance indices. We derive the moment properties of these indices and their sensitivity to rare disasters and show that they are consistent with the asset pricing literature. As applications, we show that “anomalous” investment strategies such as “momentum” or investment in private equity lose much of their glamour when accounting for high moments and rare events. Furthermore, using the indices to select mutual funds results in desirable high-moment properties out of sample.

We examine the role of race and ethnicity in the mutual fund context at two distinct levels. At the fund manager level, we document a co-racial tilt—funds managed by minority-dominant (White-dominant) teams allocate larger portfolio weights to minority-led (White-led) firms. This tilt is not associated with superior performance. It diminishes as fund managers gain experience, suggesting the presence of inaccurate statistical discrimination. At the investor level, we find that minority-dominant funds are penalized similarly to White-dominant funds for poor performance but are not rewarded as much for superior performance. Overall, our results uncover race-related investment choices at both levels.

We present a sufficient condition under which the prices of options written on a particular stock can be aggregated to calculate a lower bound on the expected returns of that stock. The sufficient condition imposes a restriction on a combination of the stock’s systematic and idiosyncratic risk. The lower bound is forward-looking and can be calculated on a high-frequency basis. We estimate the bound empirically and study its cross-sectional properties. We find that the bound increases with beta and book-to-market ratio and decreases with size and momentum. The bound provides an economically meaningful signal about future stock returns.