2013
DOI: 10.1093/rfs/hht030
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Dynamic Equilibrium with Two Stocks, Heterogeneous Investors, and Portfolio Constraints

Abstract: We study dynamic general equilibrium in a Lucas economy with two trees, one consumption good, two CRRA investors with heterogeneous risk aversions, and portfolio constraints. We focus on margin and leverage constraints, which restrict access to credit markets. We find positive relationship between the amount of leverage in the economy and magnitudes of conditional stock return correlations and volatilities. Tighter constraints give rise to rich saddle-type patterns in correlations and volatilities, make them l… Show more

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Cited by 88 publications
(32 citation statements)
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“…20 In this setting, there are N risky stocks and N of investors (a continuum) as in our model rather than finitely many investors, which again leads to nonvanishing belief dispersion. 20 Solving multi-stock pure-exchange economies is typically a daunting task, but there have been recent successes in the literature (e.g., Cochrane, Longstaff, and Santa-Clara (2007), Martin (2013), Chabakauri (2013)). Introducing belief dispersion on individual stock payoffs in these sources of risk, generated by a standard N-dimensional Brownian motion ω = (ω 1 , .…”
Section: Multiple-stock Economymentioning
confidence: 99%
“…20 In this setting, there are N risky stocks and N of investors (a continuum) as in our model rather than finitely many investors, which again leads to nonvanishing belief dispersion. 20 Solving multi-stock pure-exchange economies is typically a daunting task, but there have been recent successes in the literature (e.g., Cochrane, Longstaff, and Santa-Clara (2007), Martin (2013), Chabakauri (2013)). Introducing belief dispersion on individual stock payoffs in these sources of risk, generated by a standard N-dimensional Brownian motion ω = (ω 1 , .…”
Section: Multiple-stock Economymentioning
confidence: 99%
“…To demonstrate the main properties of the equilibrium, I use a specific calibration of the model parameters. Following other studies (e.g., Kogan, Makarov, and Uppal (), Chabakauri ()), I calibrate the process for fundamentals Dt using the historical mean and the volatility of the aggregate consumption growth rate in the United States. In particular, I set μD=0.018 and σD=0.032.…”
Section: Numerical Analysismentioning
confidence: 99%
“…Although this assumption often delivers tractability, it limits the scope of analysis, making it impossible to explore the impact of hedging motives on equilibrium properties. An exception is Chabakauri (), who extends the analysis to models with constrained investors and arbitrary levels of risk aversion.…”
mentioning
confidence: 99%
“…Similar to Geanakoplos (), Aiyagari and Gertler (), Coen‐Pirani (), Rytchkov (), and Chabakauri (), we focus on the effects of collateral requirements on asset‐price volatility. As in our article, in the models of Geanakoplos and Aiyagari and Gertler asset prices may deviate substantially from the corresponding prices in economies with frictionless markets.…”
Section: Introductionmentioning
confidence: 99%
“…They show that it can explain phenomena like deviations from the law of one price and cross‐sectional asset pricing properties like “flight to collateral.” These theoretical results are in line with the quantitative results in our article. Chabakauri () examines a continuous‐time model with two stocks. In an economy with heterogeneous CRRA preferences, he finds a positive relation between the amount of leverage and the conditional stock‐return correlations and volatilities.…”
Section: Introductionmentioning
confidence: 99%