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Partial quanto lookback options

Hangsuck Lee, Hongjun Ha and Minha Lee

The North American Journal of Economics and Finance, 2023, vol. 64, issue C

Abstract: Financial instruments for hedging and speculating on the foreign exchange rate and equity risks draw the attention of market participants as financial transactions increase across multiple jurisdictions. Notably, a quanto lookback option has been actively traded because it successfully meets market demands. Although the quanto lookback option provides numerous benefits, a high premium due to the lookback feature is the primary culprit that hinders investors from purchasing it. This paper proposes partial quanto lookback options and provides the closed-form pricing formulas when the lookback feature is applied to the exchange rate or equity value, and the extremes are determined by observing them for a shorter period than the life of the option. Because pricing the options is challenging due to their partial path-dependence, we develop the quanto extreme expectation that facilitates deriving the option prices. Extensive numerical examples demonstrate the efficacy of the partial quanto lookback options in lowering the premiums.

Keywords: Quanto lookback option; Partial monitoring; Quanto extreme expectation (search for similar items in EconPapers)
JEL-codes: G13 G22 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecofin:v:64:y:2023:i:c:s1062940822002066

DOI: 10.1016/j.najef.2022.101871

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