Arbeitspapier

Knightian Uncertainty, k-Ignorance, and Optimal Timing

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.

Language
Englisch

Bibliographic citation
Series: Discussion paper ; No. 25

Classification
Wirtschaft
Optimization Techniques; Programming Models; Dynamic Analysis
Criteria for Decision-Making under Risk and Uncertainty
Subject
Knightian uncertainty
k-ambiguity
optimal stopping
diffusions

Event
Geistige Schöpfung
(who)
Alvarez, Luis H. R.
Event
Veröffentlichung
(who)
Aboa Centre for Economics (ACE)
(where)
Turku
(when)
2007

Handle
Last update
10.03.2025, 11:43 AM CET

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Object type

  • Arbeitspapier

Associated

  • Alvarez, Luis H. R.
  • Aboa Centre for Economics (ACE)

Time of origin

  • 2007

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