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Mathematical programming and its application in finance

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This article reviews some of the applications of mathematical programming in finance. Of course mathematical programming has long been recognised as a vital modelling approach to solve optimization problems in finance. Markowitz’s Nobel Prize winning work on portfolio optimization showed how important a technique it is. Other prominent and well documented applications in long-term financial planning and portfolio problems include asset-liability management for pension plans and insurance companies, integrated risk management for intermediaries, and long-term planning for individuals. Nowadays there is an emphasis on the interaction between optimization and simulation techniques in these problems There are though many uses of mathematical programming in finance which are not purely about optimizing the return on a portfolio and we will also discuss these applications. For example we discuss how one can use linear programming to estimate the term structure of interest rates for the prices of bonds. In the personal sector finance, where the lending is far greater than the higher profile corporate sector, the use of linear programming as a way of developing credit scorecards is proving extremely valuable.

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Citation

Thomas, Lyn C. (2007) Mathematical programming and its application in finance In, Neogy, S.K., Bapat, R.B., Das, A.K. and Parthasarathy, T. (eds.) Mathematical Programming and Game Theory for Decision Making. Kolkata, India, Indian Statistical Institute pp. 1-14. (Statistical Science and Interdisciplinary Research, 1).

More information

Published date: 2007
Keywords: mathematical programming, optimization problems in finance, portfolio optimization, credit scorecards, linear programming, asset-liability models

Identifiers

Local EPrints ID: 51330
URI: http://eprints.soton.ac.uk/id/eprint/51330
ISSN: 1793-6195
PURE UUID: 1ae7aaca-465d-4c10-b355-acf85ad615cf

Catalogue record

Date deposited: 05 Aug 2008
Last modified: 17 Jul 2017 14:48

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Contributors

Author: Lyn C. Thomas
Editor: S.K. Neogy
Editor: R.B. Bapat
Editor: A.K. Das
Editor: T. Parthasarathy

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