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Portfolio Choice with Market-Credit Risk Dependencies

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  • Lijun Bo
  • Agostino Capponi

Abstract

We study an optimal investment/consumption problem in a model capturing market and credit risk dependencies. Stochastic factors drive both the default intensity and the volatility of the stocks in the portfolio. We use the martingale approach and analyze the recursive system of nonlinear Hamilton-Jacobi-Bellman equations associated with the dual problem. We transform such a system into an equivalent system of semi-linear PDEs, for which we establish existence and uniqueness of a bounded global classical solution. We obtain explicit representations for the optimal strategy, consumption path and wealth process, in terms of the solution to the recursive system of semi-linear PDEs. We numerically analyze the sensitivity of the optimal investment strategies to risk aversion, default risk and volatility.

Suggested Citation

  • Lijun Bo & Agostino Capponi, 2018. "Portfolio Choice with Market-Credit Risk Dependencies," Papers 1806.07175, arXiv.org.
    • Handle: RePEc:arx:papers:1806.07175
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    References listed on IDEAS

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    Cited by:

    1. Augustin, Patrick & Sokolovski, Valeri & Subrahmanyam, Marti G. & Tomio, Davide, 2022. "How sovereign is sovereign credit risk? Global prices, local quantities," Journal of Monetary Economics, Elsevier, vol. 131(C), pages 92-111.
    2. Lijun Bo & Shihua Wang & Xiang Yu, 2021. "Mean Field Game of Optimal Relative Investment with Jump Risk," Papers 2108.00799, arXiv.org, revised Feb 2023.
    3. Qiu, Ming & Jin, Zhuo & Li, Shuanming, 2023. "Optimal risk sharing and dividend strategies under default contagion: A semi-analytical approach," Insurance: Mathematics and Economics, Elsevier, vol. 113(C), pages 1-23.
    4. González-Garrido, A. & Gaztañaga, H. & Saez-de-Ibarra, A. & Milo, A. & Eguia, P., 2020. "Electricity and reserve market bidding strategy including sizing evaluation and a novel renewable complementarity-based centralized control for storage lifetime enhancement," Applied Energy, Elsevier, vol. 262(C).

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