Arbeitspapier
Finance without probabilistic prior assumptions
We develop the fundamental theorem of asset pricing in a probability-free infinite-dimensional setup. We replace the usual assumption of a prior probability by a certain continuity property in the state variable. Probabilities enter then endogenously as full support martingale measures (instead of equivalent martingale measures). A variant of the Harrison-Kreps-Theorem on viability and no arbitrage is shown. Finally, we show how to embed the superhedging problem in a classical infinite-dimensional linear programming problem.
- Sprache
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Englisch
- Erschienen in
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Series: Working Papers ; No. 450
- Klassifikation
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Wirtschaft
Asset Pricing; Trading Volume; Bond Interest Rates
General Equilibrium and Disequilibrium: Financial Markets
- Thema
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Probability-Free Finance
Fundamental Theorem of Asset Pricing
Full-Support Martingale Measure
Superhedging
Infinite-Dimensional Linear Programming
Finanzanalyse
Martingale
Hedging
Theorie
- Ereignis
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Geistige Schöpfung
- (wer)
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Riedel, Frank
- Ereignis
-
Veröffentlichung
- (wer)
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Bielefeld University, Institute of Mathematical Economics (IMW)
- (wo)
-
Bielefeld
- (wann)
-
2011
- Handle
- Letzte Aktualisierung
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20.09.2024, 08:21 MESZ
Datenpartner
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Objekttyp
- Arbeitspapier
Beteiligte
- Riedel, Frank
- Bielefeld University, Institute of Mathematical Economics (IMW)
Entstanden
- 2011