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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