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Generalized Marginal Risk

Author

Listed:
  • Keel, Simon
  • Ardia, David

Abstract

An important aspect of portfolio risk management is the analysis of the overall risk with respect to the allocations to the underlying assets. Marginal risk is the traditional tool used by portfolio managers to accomplish this. However, this metric is only meaningful when a position is levered or when the proceeds of the sale of a position are put in the cash account of the portfolio. This paper proposes an extension of the traditional marginal risk approach as a means of overcoming this deficiency. The new concept, named generalized marginal risk, addresses situations where the change in a position results in changes to other positions as well. For instance, this is the case when there are in- or outows of capital in the portfolio as well as reallocations within the portfolio. A detailed illustration of the new metric is provided for a synthetic portfolio within the elliptical framework and its financial relevance is demonstrated using a portfolio of equities.

Suggested Citation

  • Keel, Simon & Ardia, David, 2009. "Generalized Marginal Risk," MPRA Paper 17258, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:17258
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    References listed on IDEAS

    as
    1. Zinoviy Landsman & Emiliano Valdez, 2003. "Tail Conditional Expectations for Elliptical Distributions," North American Actuarial Journal, Taylor & Francis Journals, vol. 7(4), pages 55-71.
    2. Winfried G. Hallerbach, 1999. "Decomposing Portfolio Value-at-Risk: A General Analysis," Tinbergen Institute Discussion Papers 99-034/2, Tinbergen Institute.
    3. Gourieroux, C. & Laurent, J. P. & Scaillet, O., 2000. "Sensitivity analysis of Values at Risk," Journal of Empirical Finance, Elsevier, vol. 7(3-4), pages 225-245, November.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Marginal risk; component risk; generalized marginal risk; Value-at-Risk; expected shortfall; elliptical distribution;
    All these keywords.

    JEL classification:

    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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