Knightian Uncertainty, k-Ignorance, and Optimal Timing

Luis H.R. Alvarez E. ()
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Luis H.R. Alvarez E.: Department of Economics, Turku School of Economics

No 25, Discussion Papers from Aboa Centre for Economics

Abstract: We investigate within a continuous time setting how Knightian uncertainty characterized by k-ignorance affects the optimal timing policies of a risk-neutral and uncertainty averse investor in the case where the exercise payoff is monotonic. We prove that increased Knightian uncertainty unambiguously decreases the value of the optimal timing policy of an uncertainty averse investor. We also show that higher Knightian uncertainty accelerates timing by shrinking the continuation region whenever the termination payoff is independent of Knightian uncertainty. If this independence condition is not fulfilled, then our results indicate that higher Knightian uncertainty may decelerate optimal timing.

Keywords: Knightian uncertainty; k-ambiguity; optimal stopping; diffusions (search for similar items in EconPapers)
JEL-codes: C61 D81 D92 (search for similar items in EconPapers)
Date: 2007-11
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