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Asian and Australian options: a common perspective
Department of Economics, University of Glasgow, Adam Smith Building, Glasgow G12 8RT, UK.
School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland.
School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia.
2013 (English)In: Journal of Economic Dynamics and Control, ISSN 0165-1889, E-ISSN 1879-1743, Vol. 37, no 5, p. 1001-1018Article in journal (Refereed) Published
Abstract [en]

We show that Australian options are equivalent to fixed or floating strike Asian options and consequently that by studying Asian options from the Australian perspective and vice versa, much can be gained. One specific application of this “Australian approach” leads to a natural dimension reduction for the pricing PDE of Asian options, with or without stochastic volatility, featuring time independent coefficients. Another application lies in the improvement of Monte Carlo schemes, where the “Australian approach” results in a path-independent method. We also show how the Milevsky and Posner (1998) result on the reciprocal Γ-approximation for Asian options can be quickly obtained by using the connection to Australian options. Further, we present an analytical (exact) pricing formula for Australian options and adapt a result of Carr et al. (2008) to show that the price of an Australian call option is increasing in the volatility and by doing this answering a standing question by Moreno and Navas (2008).

Place, publisher, year, edition, pages
Elsevier, 2013. Vol. 37, no 5, p. 1001-1018
Keywords [en]
Asset pricing, Derivatives, Asian options, Quanto options, Dollar cost averaging (DCA), Numerical methods
National Category
Economics
Identifiers
URN: urn:nbn:se:umu:diva-238889DOI: 10.1016/j.jedc.2013.01.006ISI: 000317325200006Scopus ID: 2-s2.0-84875379004OAI: oai:DiVA.org:umu-238889DiVA, id: diva2:1958805
Available from: 2025-05-16 Created: 2025-05-16 Last updated: 2025-05-21Bibliographically approved

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Ewald, Christian-Oliver

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Citation style
  • apa
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  • de-DE
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  • en-US
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  • nn-NB
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  • Other locale
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Output format
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