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Optimal portfolios when volatility can jump

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  • Branger, Nicole
  • Schlag, Christian
  • Schneider, Eva

Abstract

We consider an asset allocation problem in a continuous-time model with stochastic volatility and jumps in both the asset price and its volatility. First, we derive the optimal portfolio for an investor with constant relative risk aversion. The demand for jump risk includes a hedging component, which is not present in models without volatility jumps. We further show that the introduction of derivative contracts can have substantial economic value. We also analyze the distribution of terminal wealth for an investor who uses the wrong model, either by ignoring volatility jumps or by falsely including such jumps, or who is subject to estimation risk. Whenever a model different from the true one is used, the terminal wealth distribution exhibits fatter tails and (in some cases) significant default risk.

Suggested Citation

  • Branger, Nicole & Schlag, Christian & Schneider, Eva, 2008. "Optimal portfolios when volatility can jump," Journal of Banking & Finance, Elsevier, vol. 32(6), pages 1087-1097, June.
  • Handle: RePEc:eee:jbfina:v:32:y:2008:i:6:p:1087-1097
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    References listed on IDEAS

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    Cited by:

    1. Branger, Nicole & Mahayni, Antje & Zieling, Daniel, 2015. "Robustness of stable volatility strategies," Journal of Economic Dynamics and Control, Elsevier, vol. 60(C), pages 134-151.
    2. Weinbaum, David, 2010. "Preference heterogeneity and asset prices: An exact solution," Journal of Banking & Finance, Elsevier, vol. 34(9), pages 2238-2246, September.
    3. Becker, Ralf & Clements, Adam E. & McClelland, Andrew, 2009. "The jump component of S&P 500 volatility and the VIX index," Journal of Banking & Finance, Elsevier, vol. 33(6), pages 1033-1038, June.
    4. Escobar, Marcos & Ferrando, Sebastian & Rubtsov, Alexey, 2015. "Robust portfolio choice with derivative trading under stochastic volatility," Journal of Banking & Finance, Elsevier, vol. 61(C), pages 142-157.
    5. Konermann, Patrick & Meinerding, Christoph & Sedova, Olga, 2013. "Asset allocation in markets with contagion: The interplay between volatilities, jump intensities, and correlations," Review of Financial Economics, Elsevier, vol. 22(1), pages 36-46.
    6. Muck, Matthias, 2010. "Trading strategies with partial access to the derivatives market," Journal of Banking & Finance, Elsevier, vol. 34(6), pages 1288-1298, June.
    7. Branger, Nicole & Kraft, Holger & Meinerding, Christoph, 2014. "Partial information about contagion risk, self-exciting processes and portfolio optimization," Journal of Economic Dynamics and Control, Elsevier, vol. 39(C), pages 18-36.
    8. Sami Attaoui & Vincent Lacoste, 2013. "A scenario-based description of optimal American capital guaranteed strategies," Finance, Presses universitaires de Grenoble, vol. 34(2), pages 65-119.
    9. repec:eee:insuma:v:79:y:2018:i:c:p:194-209 is not listed on IDEAS
    10. Branger, Nicole & Hansis, Alexandra, 2012. "Asset allocation: How much does model choice matter?," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 1865-1882.
    11. Chung, Kee H. & Smith, William T. & Wu, Tao L., 2009. "Time diversification: Definitions and some closed-form solutions," Journal of Banking & Finance, Elsevier, vol. 33(6), pages 1101-1111, June.
    12. Gao, Jianwei, 2010. "An extended CEV model and the Legendre transform-dual-asymptotic solutions for annuity contracts," Insurance: Mathematics and Economics, Elsevier, vol. 46(3), pages 511-530, June.
    13. Branger, Nicole & Hansis, Alexandra, 2015. "Earning the right premium on the right factor in portfolio planning," Journal of Banking & Finance, Elsevier, vol. 59(C), pages 367-383.
    14. repec:eee:dyncon:v:85:y:2017:i:c:p:59-89 is not listed on IDEAS
    15. Zieling, Daniel & Mahayni, Antje & Balder, Sven, 2014. "Performance evaluation of optimized portfolio insurance strategies," Journal of Banking & Finance, Elsevier, vol. 43(C), pages 212-225.
    16. Branger, Nicole & Larsen, Linda Sandris, 2013. "Robust portfolio choice with uncertainty about jump and diffusion risk," Journal of Banking & Finance, Elsevier, vol. 37(12), pages 5036-5047.

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