NATIONAL BUREAU OF ECONOMIC RESEARCH
NATIONAL BUREAU OF ECONOMIC RESEARCH

Incomplete-Market Equilibria Solved Recursively on an Event Tree

Bernard Dumas, Andrew Lyasoff

NBER Working Paper No. 14629
Issued in December 2008
NBER Program(s):   AP   EFG   IFM   TWP

We develop a method that allows one to compute incomplete-market equilibria routinely for Markovian equilibria (when they exist). The main difficulty to be overcome arises from the set of state variables. There are, of course, exogenous state variables driving the economy but, in an incomplete market, there are also endogenous state variables, which introduce path dependence. We write on an event tree the system of all first-order conditions of all times and states and solve recursively for state prices, which are dual variables. We illustrate this "dual" method and show its many practical advantages by means of several examples.

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Document Object Identifier (DOI): 10.3386/w14629

Published: Incomplete-Market Equilibria Solved Recursively on an Event Tree BERNARD DUMAS, ANDREW LYASOFF† Article first published online: 12 SEP 2012 DOI: 10.1111/j.1540-6261.2012.01775.x © 2012 The American Finance Association Issue The Journal of Finance The Journal of Finance Volume 67, Issue 5, pages 1897–1941, October 2012

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