On the equivalence of floating and fixed-strike Asian options

Henderson, V and Wojakowski, R M (2000) On the equivalence of floating and fixed-strike Asian options. Working Paper. The Department of Accounting and Finance, Lancaster University.

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Abstract

There are two types of Asian options in the financial markets which differ according to the role of the average price. We give a symmetry result between the floating and fixed-strike Asian options. The proof involves a change of numeraire and time reversal of Brownian motion. Symmetries are very useful in option valuation and in this case, the result allows the use of more established fixed-strike pricing methods to price floating-strike Asian options.