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Option strategies with linear programming

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  • Papahristodoulou, Christos

Abstract

In practice, all option strategies are decided in advance, given the investor’s belief of the stock price. In this paper, instead of deciding in advance the most appropriate hedging option strategy, an LP problem is formulated, by considering all significant Greek parameters of the Black-Scholes formula, such as delta, gamma, theta, rho and kappa. The optimal strategy to select will be simply decided by the solution of that model. The LP model is applied to Ericsson’s call and puts options.
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Suggested Citation

  • Papahristodoulou, Christos, 2004. "Option strategies with linear programming," European Journal of Operational Research, Elsevier, vol. 157(1), pages 246-256, August.
    • Handle: RePEc:eee:ejores:v:157:y:2004:i:1:p:246-256
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    References listed on IDEAS

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    1. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
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    Cited by:

    1. Pankaj Sinha & Archit Johar, 2010. "Hedging Greeks for a Portfolio of Options Using Linear and Quadratic Programming," Journal of Prediction Markets, University of Buckingham Press, vol. 4(1), pages 17-26, May.
    2. Libo Yin & Liyan Han, 2013. "Options strategies for international portfolios with overall risk management via multi-stage stochastic programming," Annals of Operations Research, Springer, vol. 206(1), pages 557-576, July.
    3. Libo Yin & Liyan Han, 2020. "International Assets Allocation with Risk Management via Multi-Stage Stochastic Programming," Computational Economics, Springer;Society for Computational Economics, vol. 55(2), pages 383-405, February.
    4. Pankaj Sinha & Akshay Gupta & Hemant Mudgal, 2010. "Active Hedging Greeks of an Options Portfolio Integrating Churning and Minimization of Cost of Hedging Using Quadratic & Linear Programing," Journal of Prediction Markets, University of Buckingham Press, vol. 4(2), pages 1-14, September.
    5. Ghafarian, Bahareh & Hanafizadeh, Payam & Qahi, Amir Hossein Mortazavi, 2018. "Applying Greek letters to robust option price modeling by binomial-tree," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 632-639.
    6. Gao, Pei-wang, 2009. "Options strategies with the risk adjustment," European Journal of Operational Research, Elsevier, vol. 192(3), pages 975-980, February.

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