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Working Paper
The dynamic relationship between the federal funds rate and the Treasury bill rate: an empirical investigation
This article examines the dynamic relationship between two key U.S. money market interest rates - the federal funds rate and the 3-month Treasury bill rate. Using daily data over the period 1974 to 1999, we find a long-run relationship between these two rates that is remarkably stable across monetary policy regimes of interest rate and monetary aggregate targeting. Employing a non-linear asymmetric vector equilibrium correction model, which is novel in this context, we find that most of the adjustment towards the long-run equilibrium occurs through the federal funds rates. In turn, there is ...
Report
Duality and arbitrage with transactions costs: theory and applications
Recent advances in duality theory have made it easier to discover relationships between asset prices and the portfolio choices based on them. But this approach to arbitrage-free securities markets has yet to be extended and applied to economies with transactions costs. This paper does so, within the context of a general state-preference model of securities markets. Several applications are developed to illustrate the nature of the theory and its potential to resolve a host of issues surrounding the effects of transactions costs on securities markets.
Working Paper
Hedge Fund Treasury Trading and Funding Fragility: Evidence from the COVID-19 Crisis
Hedge fund gross U.S. Treasury (UST) exposures doubled from 2018 to February 2020 to $2.4 trillion, primarily driven by relative value arbitrage trading and supported by corresponding increases in repo borrowing. In March 2020, amid unprecedented UST market turmoil, the average UST trading hedge fund had a return of -7% and reduced its UST exposure by close to 20%, despite relatively unchanged bilateral repo volumes and haircuts. Analyzing hedge fund-creditor borrowing data, we find the large, more regulated dealers provided disproportionately more funding during the crisis than other ...
Report
Measuring the pricing error of the arbitrage pricing theory
This paper provides an exact Bayesian framework for analyzing the arbitrage pricing theory (APT). Based on the Gibbs sampler, we show how to obtain the exact posterior distributions for functions of interest in the factor model. In particular, we propose a measure of the APT pricing deviations and obtain its exact posterior distribution. Using monthly portfolio returns grouped by industry and market capitalization, we find that there is little improvement in reducing the pricing errors by including more factors beyond the first one.
Working Paper
An international arbitrage pricing model with PPP deviations
This paper develops an intertemporal, international asset pricing model for use in applied theoretical and empirical research. An important feature of the model is that it incorporates both stochastic inflation rates and stochastic Purchasing Power Parity deviations (PPP). The model derives the equilibrium real return on assets, and obtains empirically tractable reduced form equations which can be used to examine such issues as capital market segmentation, currency substitution, exchange rate volatility, and the forward exchange market's risk premium. Mechanically, the model begins as a ...
Working Paper
A Model of Anomaly Discovery
We analyze a model of anomaly discovery. Consistent with existing evidence, we show that the discovery of an anomaly reduces its magnitude and increases its correlation with existing anomalies. One new prediction is that the discovery of an anomaly reduces the correlation between deciles 1 and 10 for that anomaly. Using data for 12 well-known anomalies, we find strong evidence consistent with this prediction. Moreover, the correlation between deciles 1 and 10 of an anomaly becomes correlated with the aggregate hedge-fund wealth volatility after the anomaly is discovered. Our model also sheds ...
Working Paper
Direct tests of index arbitrage models
Previous tests of stock index arbitrage models have rejected the no-arbitrage constraint imposed by these models. This paper provides a detailed analysis of actual S&P 500 arbitrage trades and directly relates these trades to the predictions of index arbitrage models. An analysis of arbitrage trades suggests that (i) short sale rules are unlikely to restrict arbitrage, (ii) the opportunity cost of arbitrage funds exceeds the Treasury Bill rate, and (iii) the average price discrepancy captured by arbitrage trades is small. Tests of the models provide some support for a version of the arbitrage ...
Discussion Paper
Bank-Intermediated Arbitrage
Since the 2007-09 financial crisis, the prices of closely related assets have shown persistent deviations—so-called basis spreads. Because such disparities create apparent profit opportunities, the question arises of why they are not arbitraged away. In a recent Staff Report, we argue that post-crisis changes to regulation and market structure have increased the costs to banks of participating in spread-narrowing trades, creating limits to arbitrage. In addition, although one might expect hedge funds to act as arbitrageurs, we find evidence that post-crisis regulation affects not only the ...