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On the risks of stocks in the long run : a probabilistic approach based on measures of shortfall risk

Author

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  • Albrecht, Peter
  • Maurer, Raimond
  • Ruckpaul, Ulla

Abstract

The present paper examines the long-term risks of a representative one-time investment in German stocks (DAX/0) in real terms relative to various risk free investments (returns of 0%, 2% and 4% in real terms) as well as relative to a representative investment in German bonds (REXP). As underlying risk measures the shortfall probability, the mean excess loss (conditional shortfall expectation) as well as the product of these two measures, the shortfall expectation have been used. One main structural result is that the mean excess loss is monotonously increasing over time. This reveals a long-term worst case-characteristic of a stock investment.

Suggested Citation

  • Albrecht, Peter & Maurer, Raimond & Ruckpaul, Ulla, 2001. "On the risks of stocks in the long run : a probabilistic approach based on measures of shortfall risk," Papers 01-12, Sonderforschungsbreich 504.
    • Handle: RePEc:mnh:spaper:2810
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    File URL: https://madoc.bib.uni-mannheim.de/2810/1/dp01_12.pdf
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    References listed on IDEAS

    as
    1. Manuel Ammann & Heinz Zimmermann, 2000. "Evaluating the Long-Term Risk of Equity Investments in a Portfolio Insurance Framework," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 25(3), pages 424-438, July.
    2. Julia Lynn Wirch, 1999. "Raising Value at Risk," North American Actuarial Journal, Taylor & Francis Journals, vol. 3(2), pages 106-115.
    3. Paul Embrechts & Sidney Resnick & Gennady Samorodnitsky, 1999. "Extreme Value Theory as a Risk Management Tool," North American Actuarial Journal, Taylor & Francis Journals, vol. 3(2), pages 30-41.
    4. Albrecht, Peter & Maurer, Raimond, 2000. "100% Aktien zur Altersvorsorge - Über die Langfristrisiken einer Aktienanlage," Sonderforschungsbereich 504 Publications 00-05, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    5. Albrecht, Peter & Maurer, Raimond, 2000. "100% Aktien zur Altersvorsorge - Über die Langfristrisiken einer Aktienanlage," Papers 00-05, Sonderforschungsbreich 504.
    6. Albrecht, Peter & Maurer, Raimond & Möller, Matthias, 1997. "Shortfall-Risiko/Excess-Chance-Entscheidungskalküle: Grundlagen und Beziehungen zum Bernoulli-Prinzip," Sonderforschungsbereich 504 Publications 97-17, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    7. Lynn Wirch, Julia & Hardy, Mary R., 1999. "A synthesis of risk measures for capital adequacy," Insurance: Mathematics and Economics, Elsevier, vol. 25(3), pages 337-347, December.
    8. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
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    Cited by:

    1. Klos, Alexander & Langer, Thomas & Weber, Martin, 2002. "Über kurz oder lang - Welche Rolle spielt der Anlagehorizont bei Investitionsentscheidungen?," Sonderforschungsbereich 504 Publications 02-49, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.

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