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Discrete-Time Implementation of Continuous-Time Portfolio Strategies

Author

Listed:
  • Beate Breuer

    (Graduate Program 'Finance and Monetary Economics', Goethe-University Frankfurt)

  • Nicole Branger

    (Department of Business and Economics, University of Southern Denmark)

  • Christian Schlag

    (Finance Department, Goethe-University Frankfurt)

Abstract

Since trading cannot take place continuously, the optimal portfolio calculated in a continuous-time model cannot be held, but the investor has to implement the continuous-time strategy in discrete time. This leads to the question how severe the resulting discretization error is. We analyze this question in a simulation study for a variety of models. First, we show that discrete trading can be neglected if only the stock and the money market account are traded, even in models with additional risk factors like stochastic volatility and jump risk in the stock and in volatility. Second, we show that the opposite is true if derivatives are traded. In this case, the utility loss due to discrete trading may be much larger than the utility gain from having access to derivatives. To profit from trading derivatives, the investor has to rebalance his portfolio at least every day

Suggested Citation

  • Beate Breuer & Nicole Branger & Christian Schlag, 2006. "Discrete-Time Implementation of Continuous-Time Portfolio Strategies," Computing in Economics and Finance 2006 393, Society for Computational Economics.
    • Handle: RePEc:sce:scecfa:393
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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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