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Discrete-time implementation of continuous-time portfolio strategies

Author

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  • Nicole Branger
  • Beate Breuer
  • Christian Schlag

Abstract

Optimal portfolio strategies are easy to compute in continuous-time models. In reality trading is discrete, so that these optimal strategies cannot be implemented properly. When the investor follows a naive discretization strategy, i.e. when he implements the optimal continuous-time strategy in discrete time, he will suffer a utility loss. For a variety of models, we analyze this discretization error in a simulation study. We find that time discreteness can be neglected when only the stock and the money market account are traded, even in models with stochastic volatility and jumps. On the other hand, when derivatives are traded the utility loss due to discrete trading can be much larger than the utility gain from having access to derivatives. To benefit from derivatives, the investor has to rebalance his portfolio at least daily.

Suggested Citation

  • Nicole Branger & Beate Breuer & Christian Schlag, 2010. "Discrete-time implementation of continuous-time portfolio strategies," The European Journal of Finance, Taylor & Francis Journals, vol. 16(2), pages 137-152.
    • Handle: RePEc:taf:eurjfi:v:16:y:2010:i:2:p:137-152
    DOI: 10.1080/13518470903075854
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    Cited by:

    1. Sujit R. Das & Mukul Goyal, 2015. "Computing optimal rebalance frequency for log-optimal portfolios in linear time," Quantitative Finance, Taylor & Francis Journals, vol. 15(7), pages 1191-1204, July.
    2. Tian-Shyr Dai & Bo-Jen Chen & You-Jia Sun & Dong-Yuh Yang & Mu-En Wu, 2024. "Constructing Optimal Portfolio Rebalancing Strategies with a Two-Stage Multiresolution-Grid Model," Computational Economics, Springer;Society for Computational Economics, vol. 64(5), pages 3117-3142, November.
    3. Branger, Nicole & Hansis, Alexandra, 2012. "Asset allocation: How much does model choice matter?," Journal of Banking & Finance, Elsevier, vol. 36(7), pages 1865-1882.
    4. Castañeda, Pablo & Reus, Lorenzo, 2019. "Suboptimal investment behavior and welfare costs: A simulation based approach," Finance Research Letters, Elsevier, vol. 30(C), pages 170-180.
    5. Bart Diris & Franz Palm & Peter Schotman, 2015. "Long-Term Strategic Asset Allocation: An Out-of-Sample Evaluation," Management Science, INFORMS, vol. 61(9), pages 2185-2202, September.

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    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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