Numerical method for model-free pricing of exotic derivatives in discrete time using rough path signatures

We estimate prices of exotic options in a discrete-time model-free setting when the trader has access to market prices of a rich enough class of exotic and vanilla options. This is achieved by estimating an unobservable quantity called ‘implied expected signature’ from such market prices, which are...

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Autores principales: Lyons, T, Nejad, S, Perez Arribas, I
Formato: Journal article
Lenguaje:English
Publicado: Taylor and Francis 2020
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author Lyons, T
Nejad, S
Perez Arribas, I
author_facet Lyons, T
Nejad, S
Perez Arribas, I
author_sort Lyons, T
collection OXFORD
description We estimate prices of exotic options in a discrete-time model-free setting when the trader has access to market prices of a rich enough class of exotic and vanilla options. This is achieved by estimating an unobservable quantity called ‘implied expected signature’ from such market prices, which are used to price other exotic derivatives. The implied expected signature is an object that characterizes the market dynamics.
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spelling oxford-uuid:464f58ce-8634-45cb-a68e-795eca66f1de2022-03-26T15:12:58ZNumerical method for model-free pricing of exotic derivatives in discrete time using rough path signaturesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:464f58ce-8634-45cb-a68e-795eca66f1deEnglishSymplectic ElementsTaylor and Francis2020Lyons, TNejad, SPerez Arribas, IWe estimate prices of exotic options in a discrete-time model-free setting when the trader has access to market prices of a rich enough class of exotic and vanilla options. This is achieved by estimating an unobservable quantity called ‘implied expected signature’ from such market prices, which are used to price other exotic derivatives. The implied expected signature is an object that characterizes the market dynamics.
spellingShingle Lyons, T
Nejad, S
Perez Arribas, I
Numerical method for model-free pricing of exotic derivatives in discrete time using rough path signatures
title Numerical method for model-free pricing of exotic derivatives in discrete time using rough path signatures
title_full Numerical method for model-free pricing of exotic derivatives in discrete time using rough path signatures
title_fullStr Numerical method for model-free pricing of exotic derivatives in discrete time using rough path signatures
title_full_unstemmed Numerical method for model-free pricing of exotic derivatives in discrete time using rough path signatures
title_short Numerical method for model-free pricing of exotic derivatives in discrete time using rough path signatures
title_sort numerical method for model free pricing of exotic derivatives in discrete time using rough path signatures
work_keys_str_mv AT lyonst numericalmethodformodelfreepricingofexoticderivativesindiscretetimeusingroughpathsignatures
AT nejads numericalmethodformodelfreepricingofexoticderivativesindiscretetimeusingroughpathsignatures
AT perezarribasi numericalmethodformodelfreepricingofexoticderivativesindiscretetimeusingroughpathsignatures