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Analytical valuation of vulnerable chained options

Jiayi Zhang and Ke Zhou

The North American Journal of Economics and Finance, 2024, vol. 70, issue C

Abstract: In this paper, we present analytical pricing formulae for vulnerable chained options. To derive the price, we provide the joint probability that one of the two-dimensional Brownian motions hits multiple barriers sequentially before a fixed time and the positions of both Brownian motions. Using the derived formulae, we perform numerical analysis to investigate the impacts of counterparty risk on option prices.

Keywords: Vulnerable options; Chained options; Barrier options; Credit risk (search for similar items in EconPapers)
JEL-codes: G13 (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ecofin:v:70:y:2024:i:c:s1062940823001924

DOI: 10.1016/j.najef.2023.102069

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