An Asian option has its payoff linked to the average price of an asset over a period of time. Due to this Asian options have a lower volatility, rendering them cheaper relative to their European counterparts.
Though there are no known closed form analytical solutions for arithmetic Asian options. Resolution supports three methods for approximating their value:
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Calculates the value of a discretely-monitored arithmetic average-rate option using Curran's (1992) approximation.
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Calculates an option value for an arithmetic average-rate option using Levy's (1992) approximation.
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Calculates an option value for an arithmetic average-rate option using the Turnbull-Wakeman (1991) approximation.
Along with the three arithmetic approximation methods Resolution provides functions for the Kemna & Vorst (1990) closed form pricing solution for geometric averaging options.
Asian options are included as part of the Resolution Exotics option pricing module