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The returns and risks of investment portfolio in stock market crashes

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  • Li, Jiang-Cheng
  • Long, Chao
  • Chen, Xiao-Dan

Abstract

The returns and risks of investment portfolio in stock market crashes are investigated by considering a theoretical model, based on a modified Heston model with a cubic nonlinearity, proposed by Spagnolo and Valenti. Through numerically simulating probability density function of returns and the mean escape time of the model, the results indicate that: (i) the maximum stability of returns is associated with the maximum dispersion of investment portfolio and an optimal stop-loss position; (ii) the maximum risks are related with a worst dispersion of investment portfolio and the risks of investment portfolio are enhanced by increasing stop-loss position. In addition, the good agreements between the theoretical result and real market data are found in the behaviors of the probability density function and the mean escape time.

Suggested Citation

  • Li, Jiang-Cheng & Long, Chao & Chen, Xiao-Dan, 2015. "The returns and risks of investment portfolio in stock market crashes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 427(C), pages 282-288.
    • Handle: RePEc:eee:phsmap:v:427:y:2015:i:c:p:282-288
    DOI: 10.1016/j.physa.2015.02.018
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    References listed on IDEAS

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    1. Gençay, Ramazan & Dacorogna, Michel & Muller, Ulrich A. & Pictet, Olivier & Olsen, Richard, 2001. "An Introduction to High-Frequency Finance," Elsevier Monographs, Elsevier, edition 1, number 9780122796715.
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    Cited by:

    1. Chun-Hao Chen & Jonathan Coupe & Tzung-Pei Hong, 2023. "An Accelerated Optimization Approach for Finding Diversified Industrial Group Stock Portfolios with Natural Group Detection," Mathematics, MDPI, vol. 11(14), pages 1-25, July.
    2. Wu, Anshun & Dong, Yang & Luo, Yuhui & Zeng, Chunhua, 2020. "Fluctuations-induced regime shifts in the Endogenous Credit system with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    3. Canh P. Nguyen & Christophe Schinckus & Thanh D. Su & Felicia H. L. Chong, 2022. "Determinants of stock market returns in emerging markets: The linkage between institutional quality and macro liquidity," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 27(4), pages 4472-4486, October.

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