Coherent Price Systems and Uncertainty-Neutral Valuation

Konferenzbeitrag

We consider fundamental questions of arbitrage pricing arising when the uncertainty model incorporates volatility uncertainty. With a standard probabilistic model, essential equivalence between the absence of arbitrage and the existence of an equivalent martingale measure is a folk theorem, see Harrison and Kreps (1979). We establish a microeconomic foundation of sublinear price systems and present an extension result. In this context we introduce a prior dependent notion of marketed spaces and viable price systems. We associate this extension with a canonically altered concept of equivalent symmetric martingale measure sets, in a dynamic trading framework under absence of prior depending arbitrage. We prove the existence of such sets when volatility uncertainty is modeled by a stochastic di erential equation, driven by Peng's G-Brownian motion.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: Beiträge zur Jahrestagung des Vereins für Socialpolitik 2013: Wettbewerbspolitik und Regulierung in einer globalen Wirtschaftsordnung - Session: Equilibrium and Prices ; No. D12-V2

Classification and Topics

• Classification: Wirtschaft ; Contingent Pricing; Futures Pricing; option pricing ; Value Theory ; Model Evaluation, Validation, and Selection

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Beißner, Patrick
• Event: Veröffentlichung
• (who): ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften, Leibniz-Informationszentrum Wirtschaft
• (where): Kiel und Hamburg
• (when): 2013

Further information

• Handle: http://hdl.handle.net/10419/80010
• Last update: 10.03.2025, 11:42 AM CET