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Option Pricing by Mathematical Programming

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Author Info
Flåm, Sjur () (Economics Department, Bergen University)

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Abstract

Financial options typically incorporate times of exercise. Alternatively, they embody set-up costs or indivisibilities. Such features lead to planning problems with integer decision variables. Provided the sample space be finite, it is shown here that integrality constraints can often be relaxed. In fact, simple mathematical programming, aimed at arbitrage or replication, may bound or identify option prices. When the asset market is incomplete, the bounds stem from nonlinear pricing functionals.

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File URL: http://www.nek.lu.se/publications/workpap/Papers/WP07_10.pdf
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Publisher Info
Paper provided by Lund University, Department of Economics in its series Working Papers with number 2007:10.

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Length: 20 pages
Date of creation: 04 Jun 2007
Date of revision:
Handle: RePEc:hhs:lunewp:2007_010

Contact details of provider:
Postal: Department of Economics, School of Economics and Management, Lund University, Box 7082, S-220 07 Lund,Sweden
Phone: +46 +46 222 0000
Fax: +46 +46 2224613
Web page: http://www.nek.lu.se/
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Related research
Keywords: asset pricing; arbitrage; options; finite sample space; scenario tree; equivalent martingale measures; bid-ask intervals; incomplete market; linear programming; combinatorial optimization; totally unimodular matrices.;

Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing

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This page was last updated on 2009-12-2.


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