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Optimal investment in the foreign exchange market with proportional transaction costs

Veraart, Luitgard A. M. ORCID: 0000-0003-1183-2227 (2011) Optimal investment in the foreign exchange market with proportional transaction costs. Quantitative Finance, 11 (4). pp. 631-640. ISSN 1469-7688

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Identification Number: 10.1080/14697680903460150

Abstract

We consider an investor in the foreign exchange market who can trade in two currencies, domestic and foreign. The investor seeks to optimize the expected mark-to-market value of the portfolio while aiming for a certain target proportion of the holdings in foreign currency compared with total wealth. This target proportion is exogenously given and can be thought of as a constraint imposed by risk management. The exchange rate process is modeled as a geometric Brownian motion. Proportional transaction costs are charged. We present a numerical algorithm that solves the resulting free boundary problem.

Item Type: Article
Official URL: http://www.tandf.co.uk/journals/rquf
Additional Information: © 2010 Routledge, Taylor & Francis
Divisions: Mathematics
Subjects: H Social Sciences > HG Finance
Date Deposited: 11 May 2011 14:01
Last Modified: 23 Oct 2024 02:36
URI: http://eprints.lse.ac.uk/id/eprint/36103

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