We interview Jessica Wachter of the Wharton School, University of Pennsylvania, to gain her perspective on her research in asset pricing, portfolio choice, rare events, investor behavior, and artificial intelligence (AI) investment. Professor Wachter also discusses the relevance of her work to litigation and government investigations.
1. Your research spans asset pricing, risk premia, investor behavior, and portfolio choice. How might those research areas arise in government investigations or litigation involving investment-related issues?
Asset pricing is the science of how we think about securities prices, including risk and timing adjustments. More broadly, it provides a framework to explain how different eventualities find their way into the price of a security.
With a background in asset pricing, it is possible to analyze quite exotic securities from a set of core principles, rather than being an expert in one instrument versus another. That is the power of the discipline: asset pricing expertise provides an approach that applies to an almost infinite variety of securities. For example, once you know the contractual terms of a security, you have a methodology for pricing it.
That is useful in litigation, where this complexity often arises. A lot of litigation involves securities pricing: who sold what at what price, what did they know at the time, and if they had known something else, how would the price have changed? Asset pricing offers important perspectives on those questions.
In addition, asset pricing extends beyond prices themselves. It also helps to explain incentives—who benefits from what outcomes—and the difference between ex post, what actually happened, and ex ante, what people could possibly have understood at the time. The ex ante perspective connects to the issue of materiality, which fascinated me when I was at the Securities and Exchange Commission (SEC). Materiality involves the interplay between what is required to be disclosed and what is optimal for a company to disclose on its own and then how investors interpret, or potentially overinterpret, those disclosures.
A lot of litigation involves securities pricing: who sold what at what price, what did they know at the time, and if they had known something else, how would the price have changed? Asset pricing offers important perspectives on those questions.
Everything I have touched on so far concerns the first strand of my research: how securities are priced. Portfolio choice has been the other major component of my research from the very beginning: how an investor thinks about their stock and bond portfolios. Where asset pricing considers how securities are valued, asset allocation asks how they should be held. Questions about the appropriateness of investments, and whether a portfolio fits an investor’s circumstances, also arise in investigations and litigation, and they relate directly to how an individual thinks about their investments.
2. You developed influential work on “rare events,” unlikely but severe shocks, to explain stock market swings. In plain terms, what does that research show, and how does it inform disputes over risk, valuation, or claims that a loss was unforeseeable?
People may have heard of black swans, or five-sigma occurrences—these are the concepts at the heart of my research on rare events. In a statistical sense, the financial world is not normally distributed, yet for many years it was modeled as if it were. A realistic approach requires techniques that reflect this. One lesson of rare events research is that extreme price movements are to be expected. That is a feature of our markets and very different from other uncertainties people encounter in life.
What motivated my thinking about rare events is that prices can reflect outcomes that appear infrequently, or never, in the historical data. That is particularly true of risk premia: a bad outcome can play a more influential role in pricing than its probability alone might suggest. In effect, a bad outcome carries additional weight, because people do not want to hold an asset that falls in value just as they may also become poorer for other reasons. The stock market illustrates this dynamic. A decline for one company in a portfolio represents a small share of overall wealth, though it is, of course, meaningful for the people who work at the company. By contrast, a decline in the entire stock market affects everyone at once, so the pricing implications are very different.
My research shows that many assets “price in” rare events that do not necessarily appear in the time series. If you are evaluating asset prices, you must consider scenarios—I would not say worst-case, because often these are simply bad scenarios—that are not part of the observed data. That helps explain some of the pricing we see in markets. Put options are a good example: they build in a premium for a stock market crash. But even the equity market, I believe, is priced with a premium reflecting the possibility of a crash.
The central point here is that whenever you evaluate an outcome, you need to approach it with the perspective that very large price swings will sometimes happen in stocks in a way they do not happen in, say, the price of eggs.