Pricing Without Equivalent Martingale Measures Under Complete and Incomplete Observation

Giorgia Galesso () and Wolfgang J. Runggaldier ()
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Giorgia Galesso: University of Padova, Department of Pure and Applied Mathematics
Wolfgang J. Runggaldier: University of Padova, Department of Pure and Applied Mathematics

A chapter in Contemporary Quantitative Finance, 2010, pp 99-121 from Springer

Abstract: Abstract Traditional arbitrage pricing theory is based on martingale measures. Recent studies show that there are situations when there does not exist an equivalent martingale measure and so the question arises: what can one do with pricing and hedging in this situation? We mention here two approaches to this effect that have appeared in the literature, namely the “Fernholz-Karatzas” approach and Platen’s “Benchmark approach” and discuss their relationships both in models where all relevant quantities are fully observable as well as in models where this is not the case and, furthermore, not all observables are also investment instruments.

Keywords: Martingale Measure; Incomplete Market; Local Martingale; Hedging Strategy; Initial Wealth (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-03479-4_6

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DOI: 10.1007/978-3-642-03479-4_6

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