Knowledge that Transforms

The continuously compounded (CC) interest rate on a one-month Treasury bill observed at the end of month t–1 is the sum of a CC expected real return and a CC expected inflation rate, Rt–1 = Et–1(rt) + Et–1(It). Two approaches are used to split Rt–1 between its two components. In the first, models for rt produce estimates of Et–1(rt), which are used to infer Et–1(It) as Rt–1 – Et–1(rt). The second approach models It to produce estimates of Et–1(It) and infer Et–1(rt) as Rt–1 – Et–1(It). By design, the estimates of Et–1(rt) and Et–1(It) from both approaches have the properties implied by rational bill prices. Received October 10, 2018; Editorial decision December 31, 2018 By Editor Jeffrey Pontiff

The global ETF industry provides more complicated investment vehicles than low-cost index trackers. Instead, we find that the real investments of ETFs may deviate from their benchmarks to leverage informational advantages (which leads to a surprising stock-selection ability) and to help affiliated OEFs through cross-trading. These effects are more prevalent in ETFs domiciled in Europe. Moreover, ETF flows seem to respond to additional risk. These results have important normative implications for consumer protection and financial stability. Received March 18, 2017; Editorial decision October 14, 2018 by Editor Raman Uppal.

We investigate how and why relative tick sizes influence traders’ order strategies, and how this affects liquidity provision in the market. Using unique NYSE data, we find that a larger relative tick size benefits high-frequency trading (HFT) market makers: they leave orders in the book longer, trade more aggressively, and have higher profit margins. In a tick-constrained (tick-unconstrained) environment, larger relative ticks result in greater (less) depth, which is consistent with greater adverse selection coming from increased undercutting of limit orders by informed HFT market makers. Received October 12, 2017; editorial decision August 21, 2018 by Editor Thierry Foucault.

We show that an increase in a stock’s breadth of institutional ownership or turnover is followed by a significant, but temporary, increase in its CAPM beta estimate and a decrease in its CAPM alpha. The increasing effect of breadth of ownership on beta estimates is mainly driven by short-term investors. These transitory trading-activity-driven components of beta estimates contribute to the empirical failure of the CAPM and the large returns to long-short portfolios that bet against beta. Relations between ownership breadth, turnover, and betas, which we document, help explain the puzzling fact that, on average, betas increase after seasoned equity offerings and stock splits and decrease after stock repurchases.Received November 26, 2015; editorial decision February 17, 2017 by Editor Jeffrey Pontiff.

Twitter posts covering 1,082 firms from November 2008 to June 2011 reveal that sentiment in nonlocal Twitter posts is negatively related to future returns, and this negative relation is due to nonlocal posts favoring overpriced stocks, which earn lower subsequent returns. In contrast, local posts do not exhibit this failing. Since nonlocal posts dominate social media, this result highlights the danger of a naive reliance on social media sentiment. The nonlocal disadvantage is larger for firms without public news and firms with higher information asymmetry, suggesting that richer information constrains the exuberance of nonlocal investors.

We evaluate the performance of various methods for estimating factor returns in an approximate factor model. Differences across estimators are most pronounced when there is cross-sectional heteroscedasticity or when cross-sectional sample sizes, n, have fewer than 4,000 assets. Estimators incorporating either cross-sectional or time-series heteroscedasticity outperform the other estimators when those types of heteroscedasticity are present. The differences are most pronounced when the cross-sectional sample is small. Received December 2, 2015; editorial decision May 16, 2017 by Editor Jeffrey Pontiff.

We nest multiple volatility components, fat tails, and a U-shaped pricing kernel in a single option model and compare their contribution in describing returns and option data. All three features lead to statistically significant model improvements. A U-shaped pricing kernel is economically most important and improves option fit by 17%, on average, and more so for two-factor models. A second volatility component improves the option fit by 9%, on average. Fat tails improve option fit by just over 4%, on average, but more so when a U-shaped pricing kernel is applied. Overall, these three model features are complements rather than substitutes: the importance of one feature increases in conjunction with the others.

We study the relation between hedge fund equity holdings and measures of informational efficiency of stock prices derived from intraday transactions as well as daily data. Our findings support the role of hedge funds as arbitrageurs who reduce mispricing in the market. Hedge funds invest in stocks that are relatively inefficiently priced, and the price efficiency of these stocks improves after hedge funds increase their holdings. Hedge fund ownership contributes more to efficient pricing than ownership by other types of institutional investors. However, stocks held by hedge funds experienced large declines in price efficiency during several liquidity crises.Received July 27, 2016; editorial decision January 07, 2017 by Editor Wayne Ferson.

We use bootstrap simulations to examine the properties of long-horizon U.S. stock market returns. We document the rate at which continuously compounded market returns converge toward normal distributions as we extend the horizon from 1 month to 30 years, and the rate at which dollar payoffs converge toward lognormal. We also verify that, though largely irrelevant at short horizons, uncertainty about the expected market return has a substantial impact on uncertainty about long-horizon payoffs.

A simple general equilibrium production economy matches moments of the value premium and equity premium. Value firms have low productivity, but will eventually produce high cash flows. The present value of these temporally distant cash flows is especially sensitive to equity premium movements. The value premium is the reward for bearing this sensitivity. Capital adjustment costs are important. Without these costs, value firms would disinvest heavily, leading to high cash flows today, low cash-flow growth going forward, and little exposure to discount rate shocks. Empirical evidence verifies that value firms have higher cash-flow growth and supports other predictions.