Coherent-price systems and uncertainty-neutral valuation

Artikel

This paper considers fundamental questions of arbitrage pricing that arises when the uncertainty model incorporates ambiguity about risk. This additional ambiguity motivates a new principle of risk- and ambiguity-neutral valuation as an extension of the paper by Ross (1976) (Ross, Stephen A. 1976. The arbitrage theory of capital asset pricing. Journal of Economic Theory 13: 341-60). In the spirit of Harrison and Kreps (1979) (Harrison, J. Michael, and David M. Kreps. 1979. Martingales and arbitrage in multiperiod securities markets. Journal of Economic Theory 20: 381-408), the paper establishes a micro-economic foundation of viability in which ambiguity-neutrality imposes a fair-pricing principle via symmetric multiple prior martingales. The resulting equivalent symmetric martingale measure set exists if the uncertain volatility in asset prices is driven by an ambiguous Brownian motion.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Journal: Risks ; ISSN: 2227-9091 ; Volume: 7 ; Year: 2019 ; Issue: 3 ; Pages: 1-18 ; Basel: MDPI

Classification and Topics

• Classification: Wirtschaft
• Subject: ambiguous volatility ; arbitrage ; asset pricing ; martingales ; nonlinear expectations and prices ; preference-free valuation

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Beißner, Patrick
• Event: Veröffentlichung
• (who): MDPI
• (where): Basel
• (when): 2019

Further information

• DOI: doi:10.3390/risks7030098
• Handle: http://hdl.handle.net/10419/257936
• Last update: 10.03.2025, 11:45 AM CET