Trading foreign exchange triplets

We develop the optimal trading strategy for a foreign exchange (FX) broker who must liquidate a large position in an illiquid currency pair. To maximize revenues, the broker considers trading in a currency triplet which consists of the illiquid pair and two other liquid currency pairs. The liquid pa...

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Main Authors: Cartea, A, Jaimungal, S, Jia, T
Format: Journal article
Language:English
Published: Society for Industrial and Applied Mathematics 2020
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author Cartea, A
Jaimungal, S
Jia, T
author_facet Cartea, A
Jaimungal, S
Jia, T
author_sort Cartea, A
collection OXFORD
description We develop the optimal trading strategy for a foreign exchange (FX) broker who must liquidate a large position in an illiquid currency pair. To maximize revenues, the broker considers trading in a currency triplet which consists of the illiquid pair and two other liquid currency pairs. The liquid pairs in the triplet are chosen so that one of the pairs is redundant. The broker is risk-neutral and accounts for model ambiguity in the FX rates to make her strategy robust to model misspecification. When the broker is ambiguity neutral (averse) the trading strategy in each pair is independent (dependent) of the inventory in the other two pairs in the triplet. We employ simulations to illustrate how the robust strategies perform. For a range of ambiguity aversion parameters, we find the mean Profit and Loss (P&L) of the strategy increases and the standard deviation of the P&L decreases as ambiguity aversion increases.
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spelling oxford-uuid:6373ead0-853e-4b2c-9ea1-433d259ba8502022-03-26T18:13:11ZTrading foreign exchange tripletsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:6373ead0-853e-4b2c-9ea1-433d259ba850EnglishSymplectic ElementsSociety for Industrial and Applied Mathematics2020Cartea, AJaimungal, SJia, TWe develop the optimal trading strategy for a foreign exchange (FX) broker who must liquidate a large position in an illiquid currency pair. To maximize revenues, the broker considers trading in a currency triplet which consists of the illiquid pair and two other liquid currency pairs. The liquid pairs in the triplet are chosen so that one of the pairs is redundant. The broker is risk-neutral and accounts for model ambiguity in the FX rates to make her strategy robust to model misspecification. When the broker is ambiguity neutral (averse) the trading strategy in each pair is independent (dependent) of the inventory in the other two pairs in the triplet. We employ simulations to illustrate how the robust strategies perform. For a range of ambiguity aversion parameters, we find the mean Profit and Loss (P&L) of the strategy increases and the standard deviation of the P&L decreases as ambiguity aversion increases.
spellingShingle Cartea, A
Jaimungal, S
Jia, T
Trading foreign exchange triplets
title Trading foreign exchange triplets
title_full Trading foreign exchange triplets
title_fullStr Trading foreign exchange triplets
title_full_unstemmed Trading foreign exchange triplets
title_short Trading foreign exchange triplets
title_sort trading foreign exchange triplets
work_keys_str_mv AT carteaa tradingforeignexchangetriplets
AT jaimungals tradingforeignexchangetriplets
AT jiat tradingforeignexchangetriplets