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Portfolio optimization for an investor with a benchmark

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Abstract

The most common equity mandate in the financial industry is to try to outperform an externally given benchmark with known weights. The standard quantitative approach to do this is to optimize the portfolio over short time horizons consecutively, using one-period models. However, it is not clear that this approach actually yields good performance in the long run. We provide a theoretical justification to this methodology by verifying that applying the one-period benchmark-relative mean-variance portfolio, i.e., the industry standard optimal portfolio, continuously is in fact the solution to a specific continuous time portfolio optimization problem: a maximum expected utility problem for an investor who is compared against a benchmark and evaluates her performance based on exponential utility at a deterministic future date.

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References

  • Davis, M.H.A., Varaiya, P.: Dynamic programming conditions for partially observed stochastic systems. SIAM J. Control 11, 226–261 (1973)

    Article  Google Scholar 

  • Fleming, W.H., Soner, H.M.: Controlled Markov Processes and Viscosity Solutions. Springer, New York (2006)

    Google Scholar 

  • Hua, R.H., Sorensen, E.H., Qian, E.E.: Quantitative Equity Portfolio Management. Chapman & Hall, London (2007)

    Google Scholar 

  • Karatzas, I., Shreve, S.E.: Methods of Mathematical Finance. Springer, New York (1998)

    Book  Google Scholar 

  • Korn, R.: Optimal Portfolios. World Scientific, Singapore (1997)

    Book  Google Scholar 

  • Korn, R.: The martingale optimality principle in finance: the best you can is good enough. WILMOTT (July), 61–67 (2003)

  • Korn, R., Korn, E.: Option Pricing and Portfolio Optimization. AMS, Providence (2001)

    Book  Google Scholar 

  • Pliska, S.R.: A stochastic calculus model of continuous trading: optimal portfolios. Math. Oper. Res. 11, 371–382 (1986)

    Article  Google Scholar 

  • Revuz, D., Yor, M.: Continuous Martingales and Brownian Motion. Springer, Berlin (1999)

    Book  Google Scholar 

  • Rogers, L.C.G., Williams, D.: Diffusions, Markov Processes and Martingales, vol. 2. Wiley, Chichester (1987)

    Google Scholar 

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Authors and Affiliations

  1. TU Kaiserslautern, Kaiserslautern, Germany

    R. Korn

  2. The Second Swedish National Pension Fund, Gothenburg, Sweden

    C. Lindberg

Authors
  1. R. Korn
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  2. C. Lindberg
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Correspondence to C. Lindberg.

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Korn, R., Lindberg, C. Portfolio optimization for an investor with a benchmark. Decisions Econ Finan 37, 373–384 (2014). https://doi.org/10.1007/s10203-013-0148-8

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  • DOI: https://doi.org/10.1007/s10203-013-0148-8

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