The expected time- and risk-adjusted cumulative return on any asset equals one at all horizons. Nonetheless, I show that a typical asset's realized time- and risk-adjusted cumulative return tends to zero almost surely. As a corollary, the value of a typical long-dated asset is driven by extreme...

I extend the Epstein-Zin-lognormal consumption-based asset-pricing model to allow for general i.i.d. consumption growth. Information about the higher moments--equivalently, cumulants--of consumption growth is encoded in the cumulant-generating function. I apply the framework to economies with...

I explore the behavior of asset prices and the exchange rate in a two-country world. When the large country has bad news, the relative price of the small country's output declines. As a result, the small country's bonds are risky, and uncovered interest parity fails, with positive excess returns...

This paper investigates the behavior of asset prices in an endowment economy in which a representative agent with power utility consumes the dividends of multiple assets. The assets are Lucas trees; a collection of Lucas trees is a Lucas orchard. The model generates return correlations that vary...

We view sustainability as a requirement that welfare should not be expected to decline over time. We impose this requirement as a prior constraint on the consumption-savings-investment problem, and study its implications for saving, risky investment, and the social discount rate. The constraint...

Modern investors face a high-dimensional prediction problem: thousands of observable variables are potentially relevant for forecasting. We reassess the conventional wisdom on market efficiency in light of this fact. In our model economy, which resembles a typical machine learning setting, N...

We use prices of equity index options to quantify the impact of extreme events on asset returns. We define extreme events as departures from normality of the log of the pricing kernel and summarize their impact with high-order cumulants: skewness, kurtosis, and so on. We show that high-order...

We face a variety of potential catastrophes; nuclear or bioterrorism, a climate catastrophe, and a "mega-virus" are examples. Martin and Pindyck (AER 2015) showed that decisions to avert such catastrophes are interdependent, so that simple cost-benefit analysis breaks down. They assumed that...

We study cointegrating relationships among fiscal variables and output and use them to introduce a new measure of the government's fiscal position. In the US since World War II, we find that the primary surplus-GDP ratio and the government debt-GDP ratio are nonstationary, which invalidates...

"The expected time- and risk-adjusted cumulative return on any asset equals one at all horizons. Nonetheless, I show that a typical asset's realized time- and risk-adjusted cumulative return tends to zero almost surely. As a corollary, the value of a typical long-dated asset is driven by extreme...