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The Individually Accepted Loss

Author

Listed:
  • Erick W. Rengifo

    (Fordham University)

  • Debra Emanuela Trifan

    (Bayerngas Energy)

  • Debra Rossen Trendafilov

    (Truman State University)

Abstract

This paper proposes a new, individual measure of market risk, denoted as the individually acceptable loss (IAL). This measure can be used by portfolio managers in order to better meet the individual profiles of their non-professional clients, including phsychological traits. It can be easily assessed from general subjective and objective parameters. We formally define the IAL of loss averse investors, who narrowly frame financial investments, and are sensitive to the past performance of their risky portfolio. This individual risk measue is applied to the classic portfolio optimization framework in order to derive the optimal wealth allocation among different financial assets. our empirical results suggest that previous optimization relying on a portfolio-exogenous VaR-formulation, underestimates the aversion of individual investors towards financial losses.

Suggested Citation

  • Erick W. Rengifo & Debra Emanuela Trifan & Debra Rossen Trendafilov, 2014. "The Individually Accepted Loss," Fordham Economics Discussion Paper Series dp2014-04, Fordham University, Department of Economics.
  • Handle: RePEc:frd:wpaper:dp2014-04
    as

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    File URL: https://archive.fordham.edu/ECONOMICS_RESEARCH/PAPERS/dp2014_04_rengifo_loss.pdf
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    References listed on IDEAS

    as
    1. Campbell, Rachel & Huisman, Ronald & Koedijk, Kees, 2001. "Optimal portfolio selection in a Value-at-Risk framework," Journal of Banking & Finance, Elsevier, vol. 25(9), pages 1789-1804, September.
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    3. Rengifo, Erick W. & Trifan, Emanuela, 2007. "Investors Facing Risk: Loss Aversion and Wealth Allocation Between Risky and Risk-Free Assets," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 28063, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    4. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    5. Basak, Suleyman & Shapiro, Alexander, 2001. "Value-at-Risk-Based Risk Management: Optimal Policies and Asset Prices," The Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 371-405.
    6. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    7. Rengifo, Erick W. & Trifan, Emanuela, 2007. "Investors Facing Risk: Loss Aversion and Wealth Allocation Between Risky and Risk-Free Assets," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 77379, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
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    More about this item

    Keywords

    market risk; prospect theory; loss aversion; capital allocation; Value-at-Risk.;
    All these keywords.

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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