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Robust Hedging with Proportional Transaction Costs

Author

Listed:
  • Yan Dolinsky

    (ETH Zürich)

  • Halil Mete Soner

    (ETH Zürich; Swiss Finance Institute)

Abstract

Duality for robust hedging with proportional transaction costs of path dependent European options is obtained in a discrete time financial market with one risky asset. Investor’s portfolio consists of a dynamically traded stock and a static position in vanilla options which can be exercised at maturity. Only stock trading is subject to proportional transaction costs. The main theorem is duality between hedging and a Monge-Kantorovich type optimization problem. In this dual transport problem the optimization is over all the probability measures which satisfy an approximate martingale condition related to consistent price systems in addition to the usual marginal constraints.

Suggested Citation

  • Yan Dolinsky & Halil Mete Soner, 2013. "Robust Hedging with Proportional Transaction Costs," Swiss Finance Institute Research Paper Series 13-11, Swiss Finance Institute.
    • Handle: RePEc:chf:rpseri:rp1311
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    Cited by:

    1. Bruno Bouchard & Marcel Nutz, 2013. "Arbitrage and duality in nondominated discrete-time models," Papers 1305.6008, arXiv.org, revised Mar 2015.
    2. Erhan Bayraktar & Yuchong Zhang, 2013. "Fundamental Theorem of Asset Pricing under Transaction costs and Model uncertainty," Papers 1309.1420, arXiv.org, revised Aug 2015.

    More about this item

    Keywords

    European options; Robust hedging; Transaction costs; Weak convergence; Consistent price systems; Optimal transport;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets

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