Incomplete Markets, Knightian Uncertainty, and Irreversible Investment
University of Dublin - Department of Economics
October 3, 2008
The problem of irreversible investment with idiosyncratic risk is studied by interpreting market incompleteness as a source of Knightian uncertainty over the appropriate discount factor. Maxmin utility over multiple priors is used to solve the irreversible investment problem. The notion of priors with kappa-ignorance are used to analyse finitely lived options. For infinitely lived options the notion of constant kappa-ignorance is introduced. For these sets of density generators the corresponding optimal stopping problem is solved for general (in-)finite horizon optimal stopping problems driven by geometric Brownian motions. It is argued that an increase in the level of ambiguity delays investment, whereas an increase in the degree of market completeness can have a non-monotonic effect.
Number of Pages in PDF File: 21
Keywords: Irreversible investment, Idiosyncratic risk, Knightian uncertainty
JEL Classification: D46, G12, G31working papers series
Date posted: October 6, 2008
© 2013 Social Science Electronic Publishing, Inc. All Rights Reserved.
This page was processed by apollo7 in 0.328 seconds