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Option Pricing by Mathematical Programming

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  • Flåm, Sjur

    (Economics Department, Bergen University)

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.

Suggested Citation

  • Flåm, Sjur, 2007. "Option Pricing by Mathematical Programming," Working Papers 2007:10, Lund University, Department of Economics.
    • Handle: RePEc:hhs:lunewp:2007_010
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    References listed on IDEAS

    as
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    More about this item

    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.;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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