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Incomplete Market Dynamics in a Neoclassical Production Economy

  • George-Marios Angeletos
  • Laurent-Emmanuel Calvet

We investigate a neoclassical economy with heterogeneous agents, convex technologies and idiosyncratic production risk. Combined with precautionary savings, investment risk generates rich effects that do not arise in the presence of pure endowment risk. Under a finite horizon, multiple growth paths and endogenous fluctuations can exist even when agents are very patient. In infinite-horizon economies, multiple steady states may arise from the endogeneity of risktaking and interest rates instead of the usual wealth effects. Depending on the economy's parameters, the local dynamics around a steady state are locally unique, totally unstable or locally undetermined, and the equilibrium path can be attracted to a limit cycle. The model generates closed-form expressions for the equilibrium dynamics and easily extends to a variety of environments, including heterogeneous capital types and multiple sectors.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 11016.

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Date of creation: Dec 2004
Date of revision:
Publication status: published as Angeletos, George-Marios and Laurent-Emmanuel Calvet. "Incomplete-Market Dynamics In A Neoclassical Production Economy," Journal of Mathematical Economics, 2005, v41(4-5,Aug), 407-438.
Handle: RePEc:nbr:nberwo:11016
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