Research Notebook

The Bayesian Information Criterion

January 3, 2017 by Alex

1. Motivation Imagine that we're trying to predict the cross-section of expected returns, and we've got a sneaking suspicion that $x$ might be a good predictor. So, we regress today's returns on $x$ to see if our hunch is … [Continue reading]

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A Model of Rebalancing Cascades

October 23, 2016 by Alex

1. Motivating Examples Trading strategies can interact with one another to amplify small initial shocks to fundamentals: Quant Crisis, Aug 2007: "During the week of August 6, 2007, a number of [quantitative hedge funds] experienced … [Continue reading]

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Intuition Behind the Bayesian LASSO

September 24, 2016 by Alex

1. Motivating Question Imagine you've just seen Apple's most recent return, $r$, which is Apple's long-run expected return, $\mu^\star$, plus some random noise, $\epsilon \overset{\scriptscriptstyle \mathrm{iid}}{\sim} \mathrm{N}(0, \, … [Continue reading]

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Inferring Trader Horizons from Trading Volume

July 13, 2016 by Alex

1. Motivating Example This post shows that, if traders face convex transaction costs (i.e., it costs them more per share to buy $2$ shares of stock than to buy $1$ share of stock), then it is possible to infer traders' investment horizons from … [Continue reading]

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Investor Holdings, Naïve Beliefs, and Artificial Supply Constraints

June 24, 2016 by Alex

1. Motivation In the standard model of house-price dynamics, there are two kinds of cities: supply constrained and supply unconstrained. In supply-constrained cities (e.g., New York, Boston, or San Francisco), it's difficult and costly to build … [Continue reading]

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