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.
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.
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