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Advanced strategies of portfolio management in the Heston market model

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  • Gruszka, Jarosław
  • Szwabiński, Janusz

Abstract

There is a great number of factors to take into account when building and managing an investment portfolio. It is widely believed that a proper set-up of the portfolio combined with a good, robust management strategy is the key to successful investment. In this paper, we aim at an analysis of two aspects that may have an impact on investment performance: diversity of assets and inclusion of cash in the portfolio. We also propose two new management strategies based on the MACD and RSI factors known from technical analysis. Monte Carlo simulations within the Heston model of a market are used to perform numerical experiments.

Suggested Citation

  • Gruszka, Jarosław & Szwabiński, Janusz, 2021. "Advanced strategies of portfolio management in the Heston market model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
    • Handle: RePEc:eee:phsmap:v:574:y:2021:i:c:s0378437121002508
    DOI: 10.1016/j.physa.2021.125978
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    1. Farias Nazário, Rodolfo Toríbio & e Silva, Jéssica Lima & Sobreiro, Vinicius Amorim & Kimura, Herbert, 2017. "A literature review of technical analysis on stock markets," The Quarterly Review of Economics and Finance, Elsevier, vol. 66(C), pages 115-126.
    2. Leng, Na & Li, Jiang-Cheng, 2020. "Forecasting the crude oil prices based on Econophysics and Bayesian approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 554(C).
    3. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    4. William N. Goetzmann & Alok Kumar, 2008. "Equity Portfolio Diversification," Review of Finance, European Finance Association, vol. 12(3), pages 433-463.
    5. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    6. Sebastián Ceria & Robert A Stubbs, 2006. "Incorporating estimation errors into portfolio selection: Robust portfolio construction," Journal of Asset Management, Palgrave Macmillan, vol. 7(2), pages 109-127, July.
    7. Lin, Sha & He, Xin-Jiang, 2020. "Pricing variance and volatility swaps with stochastic volatility, stochastic interest rate and regime switching," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 537(C).
    8. Franck Jovanovic & Christophe Schinckus, 2013. "The Emergence of Econophysics: A New Approach in Modern Financial Theory," History of Political Economy, Duke University Press, vol. 45(3), pages 443-474, Fall.
    9. Jakša Cvitanić & Ioannis Karatzas, 1996. "Hedging And Portfolio Optimization Under Transaction Costs: A Martingale Approach12," Mathematical Finance, Wiley Blackwell, vol. 6(2), pages 133-165, April.
    10. G. William Schwert, 2011. "Stock Volatility during the Recent Financial Crisis," European Financial Management, European Financial Management Association, vol. 17(5), pages 789-805, November.
    11. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    12. Jorion, Philippe, 1985. "International Portfolio Diversification with Estimation Risk," The Journal of Business, University of Chicago Press, vol. 58(3), pages 259-278, July.
    13. Gruszka, Jarosław & Szwabiński, Janusz, 2020. "Best portfolio management strategies for synthetic and real assets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 539(C).
    14. Richmond, Peter & Sabatelli, Lorenzo, 2004. "Langevin processes, agent models and socio-economic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 27-38.
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    Cited by:

    1. Jaros{l}aw Gruszka & Janusz Szwabi'nski, 2022. "Parameter Estimation of the Heston Volatility Model with Jumps in the Asset Prices," Papers 2211.14814, arXiv.org.
    2. Jaros{l}aw Gruszka & Janusz Szwabi'nski, 2023. "Portfolio Optimisation via the Heston Model Calibrated to Real Asset Data," Papers 2302.01816, arXiv.org.

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