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arXiv · 2103.07440

A closed-form approximation for pricing geometric Istanbul options

Mohamed Amine Kacef·Kamal Boukhetala
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Abstract

The Istanbul options were first introduced by Michel Jacques in 1997. These derivatives are considered as an extension of the Asian options. In this paper, we propose an analytical approximation formula for a geometric Istanbul call option (GIC) under the Black-Scholes model. Our approximate pricing formula is obtained in closed-form using a second-order Taylor expansion. We compare our theoretical results with those of Monte-Carlo simulations using the control variates method. Finally, we study the effects of changes in the price of the underlying asset on the value of GIC.

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Mohamed Amine Kacef, Kamal Boukhetala. 2021-03-12. A closed-form approximation for pricing geometric Istanbul options. https://doi.org/10.1504/ijrm.2020.110631

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