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Chudjakow, Tatjana: On Knightian uncertainty models : optimal behavior in presence of model uncertainty. 2010
Inhalt
General Introduction
Knightian Uncertainty
Ambiguity in Real Life Applications
Modeling Uncertainty
Ambiguity and Optimal Stopping Problems
Ambiguity and Asset Markets
The Aim of this Work
A Best Choice Problem under Ambiguity
Introduction
Best Choice Problems under Ambiguity
Best Choice under Ambiguity
Comparative Statics
Ambiguous Secretary Problem
Independent Coins with Identical Ambiguity
Finite Stopping
Conclusion
Exercise Strategies for American Exotic Options under Ambiguity
Introduction
Financial Markets and Optimal Stopping under Ambiguity in discrete Time
Stochastic Structure
The Market Model
The Decision Problem
The Solution Method
Options with Monotone Payoffs
Barrier Options
Simple Barrier Options
Multiple Barrier Options
Multiple Expiry Options
Shout Options
Quasi-convex Payoffs
Conclusion
Ambiguity Aversion and Overpricing
Introduction
The Model
Setup
Maximization Problem
Equilibrium Analysis
Comparison with Miller
Comparative Statics and Sensitivity Analysis
Sensitivity with respect to ambiguity increase
Sensitivity to changes of Q,,2
Extensions and Robustness Checks
Uncertainty about volatility
N ambiguous independent assets
Different distribution of preferences
Market Crashes and Panics
Discussion and Conclusion
Concluding Remarks
Proofs for Chapter 2
Proof of Lemma 1
Proof of Lemma 2
Proof of Lemma 3
Proof of Theorem 3
Proof of Lemma 4
Proofs for Chapter 3
Proof of Theorem 6
Downcrossing Times Theorem
Proofs for Chapter 4
Proof of Lemma 12
Proof of Lemma 13