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No-Arbitrage Bounds on Contingent Claims Prices with Convex Constraints on the Dollar Investments of the Hedge Portfolio

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  • Claus Munk

    (Odense University, Denmark)

Abstract

With constrained portfolios, contingent claims do not generally have a unique price, for which there are no arbitrage opportunities. We generalize earlier results of El Karoui and Quenez (1995) and Cvitanic and Karatzas (1993) by showing that there is an interval of no-arbitrage prices, when there are convex constraints on the dollar investments in the assets in the hedge portfolio. We also show that the bounds of the no-arbitrage interval can be found by solving two stochastic control problems, and we demonstrate how to solve these problems numerically.

Suggested Citation

  • Claus Munk, 1997. "No-Arbitrage Bounds on Contingent Claims Prices with Convex Constraints on the Dollar Investments of the Hedge Portfolio," Finance 9712006, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpfi:9712006
    Note: Type of Document - LaTeX 2e; to print on PostScript; pages: 30 ; figures: included
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    References listed on IDEAS

    as
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    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Contingent claims pricing; constrained dollar investments; no- arbitrage bounds; numerical solution;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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