Abstract We use a revealed-preference approach to estimate investor expectations of stock market returns. Using data on demand for index funds that follow the S&P 500, we develop and estimate a model of investor choice to flexibly recover the time-varying distribution of expected future returns across investors. Our analysis is facilitated by the prevalence of leveraged funds that track the same underlying asset: by choosing between higher and lower leverage, investors trade off higher return against less risk. Our estimates indicate that investor expectations are heterogeneous, extrapolative, and persistent. Following a downturn, investors become more pessimistic on average, but there is also an increase in disagreement among participating investors due to the presence of contrarian investors.

Abstract We present a portfolio choice demand model that allows for the nonparametric estimation of investors’ (subjective) expectations and risk preferences. Using comprehensive 401(k)-plan-level data from 2009 through 2019, we explore heterogeneity in asset allocations using our empirical framework. We recover investors’ beliefs about each asset and examine the implications and potential sources of those beliefs. Heterogeneity in expectations across investors accounts for twice as much variation in portfolio holdings as heterogeneity in risk aversion. Belief heterogeneity is partly driven by investors’ characteristics and experiences, reflecting local sources of information such as county-level GDP and employers’ past performance.

We analyze the evolution of markups for consumer products in the United States from 2006 to 2019. Using detailed data on prices and quantities for products in more than 100 distinct categories, we obtain a panel of markups, marginal costs, and flexible consumer preferences. Our empirical strategy uses separate random coefficients logit models for each category and year and an assumption that firms set prices to maximize profits. We find that markups increased by about 30% on average over the sample period. We attribute this change to decreases in marginal costs and a decline in consumer price sensitivity.