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Pricing and hedging European options with discrete-time coherent risk

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  • Alexander Cherny

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  • Alexander Cherny, 2007. "Pricing and hedging European options with discrete-time coherent risk," Finance and Stochastics, Springer, vol. 11(4), pages 537-569, October.
    • Handle: RePEc:spr:finsto:v:11:y:2007:i:4:p:537-569
    DOI: 10.1007/s00780-007-0050-8
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    References listed on IDEAS

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    1. Ioannis Karatzas & Jaksa Cvitanic, 1999. "On dynamic measures of risk," Finance and Stochastics, Springer, vol. 3(4), pages 451-482.
    2. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
    3. N. El Karoui & S. Peng & M. C. Quenez, 1997. "Backward Stochastic Differential Equations in Finance," Mathematical Finance, Wiley Blackwell, vol. 7(1), pages 1-71, January.
    4. Jun Sekine, 2004. "Dynamic Minimization of Worst Conditional Expectation of Shortfall," Mathematical Finance, Wiley Blackwell, vol. 14(4), pages 605-618, October.
    5. Helyette Geman & D. Madan, 2004. "Pricing in Incomplete Markets : From Absence of Good Deals to Acceptable Risk," Post-Print halshs-00144406, HAL.
    6. repec:dau:papers:123456789/1063 is not listed on IDEAS
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    Citations

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    Cited by:

    1. Jun Zhao & Emmanuel Lépinette & Peibiao Zhao, 2019. "A new approach of coherent risk-measure pricing," Working Papers hal-02135232, HAL.
    2. Tomasz R. Bielecki & Igor Cialenco & Ismail Iyigunler & Rodrigo Rodriguez, 2012. "Dynamic Conic Finance: Pricing and Hedging in Market Models with Transaction Costs via Dynamic Coherent Acceptability Indices," Papers 1205.4790, arXiv.org, revised Jun 2013.
    3. Tomasz R. Bielecki & Igor Cialenco & Marcin Pitera, 2016. "A survey of time consistency of dynamic risk measures and dynamic performance measures in discrete time: LM-measure perspective," Papers 1603.09030, arXiv.org, revised Jan 2017.
    4. Emmanuel Lepinette & Duc Thinh Vu, 2024. "Coherent Risk Measure on $L^0$: NA Condition, Pricing and Dual Representation," Papers 2405.06764, arXiv.org.
    5. Marcelo Righi, 2024. "Optimal hedging with variational preferences under convex risk measures," Papers 2407.03431, arXiv.org, revised Oct 2024.
    6. Jun Zhao & Emmanuel Lépinette & Peibiao Zhao, 2019. "Pricing under dynamic risk measures," Post-Print hal-02135232, HAL.
    7. Mustafa Pınar, 2011. "Gain–loss based convex risk limits in discrete-time trading," Computational Management Science, Springer, vol. 8(3), pages 299-321, August.
    8. Jungmin Choi & Mattias Jonsson, 2009. "Partial Hedging in Financial Markets with a Large Agent," Applied Mathematical Finance, Taylor & Francis Journals, vol. 16(4), pages 331-346.
    9. Dilip Madan & Martijn Pistorius & Mitja Stadje, 2013. "On dynamic spectral risk measures, a limit theorem and optimal portfolio allocation," Papers 1301.3531, arXiv.org, revised Apr 2017.
    10. Emmanuel Lépinette & Ilya Molchanov, 2021. "Risk arbitrage and hedging to acceptability under transaction costs," Finance and Stochastics, Springer, vol. 25(1), pages 101-132, January.

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    More about this item

    Keywords

    Dynamic coherent risk measure; Dynamic tail VaR; Dynamic weighted VaR; Fundamental theorem of asset pricing; Hedging cash flow streams; No good deals; Price contribution; Pricing cash flow streams; Risk management; Risk measurement; 91B30; 91B70; G13; G32;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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