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Incomplete-Market Equilibria Solved Recursively on an Event Tree

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  • Dumas, Bernard J
  • Lyasoff, Andrew
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    Abstract

    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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    Bibliographic Info

    Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 7138.

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    Date of creation: Jan 2009
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    Handle: RePEc:cpr:ceprdp:7138

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    Related research

    Keywords: computation; financial-market equilibrium; incomplete market; recursive methods;

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