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Model for Constructing an Options Portfolio with a Certain Payoff Function

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  • Margarita E. Fatyanova
  • Mikhail E. Semenov

Abstract

The portfolio optimization problem is a basic problem of financial analysis. In the study, an optimization model for constructing an options portfolio with a certain payoff function has been proposed. The model is formulated as an integer linear programming problem and includes an objective payoff function and a system of constraints. In order to demonstrate the performance of the proposed model, we have constructed the portfolio on the European call and put options of Taiwan Futures Exchange. The optimum solution was obtained using the MATLAB software. Our approach is quite general and has the potential to design options portfolios on financial markets.

Suggested Citation

  • Margarita E. Fatyanova & Mikhail E. Semenov, 2017. "Model for Constructing an Options Portfolio with a Certain Payoff Function," Papers 1707.02087, arXiv.org.
    • Handle: RePEc:arx:papers:1707.02087
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    References listed on IDEAS

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    1. Garrett, Stephen, 2013. "An Introduction to the Mathematics of Finance," Elsevier Monographs, Elsevier, edition 2, number 9780080982403.
    2. Topaloglou, Nikolas & Vladimirou, Hercules & Zenios, Stavros A., 2011. "Optimizing international portfolios with options and forwards," Journal of Banking & Finance, Elsevier, vol. 35(12), pages 3188-3201.
    3. Das, Sanjiv R. & Statman, Meir, 2013. "Options and structured products in behavioral portfolios," Journal of Economic Dynamics and Control, Elsevier, vol. 37(1), pages 137-153.
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