Analytics for geometric average trigger reset options

Tian-Shyr Dai*, Yuh Yuan Fang, Yuh Dauh Lyuu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The geometric average trigger reset option resets the strike price based on the geometric average of the underlying asset's prices over a monitoring window. Similar contracts have been traded on exchanges in Asia. This paper derives an analytic formula for pricing this option with multiple monitoring windows. The analytic formula in fact is a corollary of a general formula that holds for a large class of path-dependent options: It prices any option whose value can be written as a linear combination of E(eb.X1{X∈A}), where X is a multinormal random vector and b is some constant vector. Numerical experiments suggest that the pricing formula approximates the values of arithmetic average trigger reset options accurately. Thus pricing the arithmetic average trigger reset option can benefit from using this formula as the control variate in Monte Carlo simulation. Numerical results also suggest that the geometric average trigger reset option does not have significant delta jump as the standard reset option, and this useful property reduces the hedging risk dramatically.

Original languageEnglish
Pages (from-to)835-840
Number of pages6
JournalApplied Economics Letters
Issue number13
StatePublished - 20 Oct 2005


Dive into the research topics of 'Analytics for geometric average trigger reset options'. Together they form a unique fingerprint.

Cite this