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Is Stochastic Volatility relevant for Dynamic Portfolio Choice under Ambiguity?

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Author Info

  • Gonçalo Faria

    ()
    (CEF.UP and Faculdade de Economia (Universidade do Porto) and RGEA (Universidad de Vigo))

  • João Correia-da-Silva

    ()
    (CEF.UP and Faculdade de Economia (Universidade do Porto))

Abstract

Literature on dynamic portfolio choice has been finding that volatility risk has low impact on portfolio choice. For example, using long-run U.S. data, Chacko and Viceira (2005) found that intertemporal hedging demand (required by investors for protection against adverse changes in volatility) is empirically small even for highly risk-averse investors. We want to assess if this continues to be true in the presence of ambiguity. Adopting robust control and perturbation theory techniques, we study the problem of a long-horizon investor with recursive preferences that faces ambiguity about the stochastic processes that generate the investment opportunity set. We find that ambiguity impacts portfolio choice, with the relevant channel being the return process. Ambiguity about the volatility process is only relevant if, through a specific correlation structure, it also induces ambiguity about the return process. Using the same long-run U.S. data, we find that ambiguity about the return process may be empirically relevant, much more than ambiguity about the volatility process. Anyway, intertemporal hedging demand is still very low: investors are essentially focused in the short-term risk-return characteristics of the risky asset.

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Bibliographic Info

Paper provided by Universidade do Porto, Faculdade de Economia do Porto in its series FEP Working Papers with number 472.

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Length: 29 pages
Date of creation: Oct 2012
Date of revision:
Handle: RePEc:por:fepwps:472

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Keywords: Dynamic Portfolio Choice; Stochastic Volatility; Ambiguity; Robust Control; Perturbation Theory;

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References

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  1. Gonçalo Faria & João Correia-da-Silva, 2011. "The Price of Risk and Ambiguity in an Intertemporal General Equilibrium Model of Asset Prices," FEP Working Papers 399, Universidade do Porto, Faculdade de Economia do Porto.
  2. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942, Octomber.
  3. David Ahn & Syngjoo Choi & Douglas Gale & Shachar Kariv, 2008. "Estimating Ambiguity Aversion in a Portfolio Choice Experiment," Levine's Working Paper Archive 122247000000001989, David K. Levine.
  4. Trojani, Fabio & Vanini, Paolo, 2002. "A note on robustness in Merton's model of intertemporal consumption and portfolio choice," Journal of Economic Dynamics and Control, Elsevier, vol. 26(3), pages 423-435, March.
  5. Gonçalo Faria & João Correia-da-Silva & Cláudia Ribeiro, 2009. "Dynamic Consumption and Portfolio Choice with Ambiguity about Stochastic Volatility," FEP Working Papers 348, Universidade do Porto, Faculdade de Economia do Porto.
  6. Hui Chen & Nengjiu Ju & Jianjun Miao, . "Dynamic Asset Allocation with Ambiguous Return Predictability," Boston University - Department of Economics - Working Papers Series wp2009-015, Boston University - Department of Economics.
  7. Fabio Trojani & Paolo Vanini, 2004. "Robustness and Ambiguity Aversion in General Equilibrium," Review of Finance, Springer, vol. 8(2), pages 279-324.
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