Nothing Special   »   [go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/p/ecm/wc2000/0162.html
   My bibliography  Save this paper

Sensitivity Analysis of Values at Risk

Author

Listed:
  • Christian Gourieroux

    (CREST and CEPREMAP)

  • J. P. Laurent

    (Universite de Lyon I and CREST)

  • Olivier Scaillet

    (Universite Catholique de Louvain)

Abstract
The aim of this paper is to analyze the sensitivity of Value at Risk (VaR) with respect to portfolio allocation. We derive analytical expressions for the first and second derivatives of the Value at Risk, and explain how they can be used to simplify statistical inference and to perform a local analysis of the Value at Risk. An empirical illustration of such an analysis is given for a portfolio of French stocks.

Suggested Citation

  • Christian Gourieroux & J. P. Laurent & Olivier Scaillet, 2000. "Sensitivity Analysis of Values at Risk," Econometric Society World Congress 2000 Contributed Papers 0162, Econometric Society.
  • Handle: RePEc:ecm:wc2000:0162
    as

    Download full text from publisher

    File URL: http://fmwww.bc.edu/RePEc/es2000/0162.pdf
    File Function: main text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    2. Christian Gollier & Pierre-François Koehl & Jean-Charles Rochet, 1996. "Risk-Taking Behavior with Limited Liability and Risk Aversion," Center for Financial Institutions Working Papers 96-13, Wharton School Center for Financial Institutions, University of Pennsylvania.
    3. Froot, Kenneth A. & Stein, Jeremy C., 1998. "Risk management, capital budgeting, and capital structure policy for financial institutions: an integrated approach," Journal of Financial Economics, Elsevier, vol. 47(1), pages 55-82, January.
    4. Ralph C. Kimball, 1997. "Innovations in performance measurement in banking," New England Economic Review, Federal Reserve Bank of Boston, issue May, pages 23-38.
    5. Föllmer, Hans & Leukert, Peter, 1998. "Quantile hedging," SFB 373 Discussion Papers 1998,13, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    6. Stoughton, Neal & Zechner, Josef, 1999. "Optimal Capital Allocation Using RAROC And EVA," CEPR Discussion Papers 2344, C.E.P.R. Discussion Papers.
    7. Jarque, Carlos M. & Bera, Anil K., 1980. "Efficient tests for normality, homoscedasticity and serial independence of regression residuals," Economics Letters, Elsevier, vol. 6(3), pages 255-259.
    8. Stoughton, Neal M. & Zechner, Josef, 2007. "Optimal capital allocation using RAROC(TM) and EVA(R)," Journal of Financial Intermediation, Elsevier, vol. 16(3), pages 312-342, July.
    9. Christian Gourieroux & Joanna Jasiak, 1999. "Nonlinear Innovations and Impulse Response," Working Papers 99-44, Center for Research in Economics and Statistics.
    10. David F. Babbel & Anthony M. Santomero, 1997. "Risk Management by Insurers: An Analysis of the Process," Center for Financial Institutions Working Papers 96-16, Wharton School Center for Financial Institutions, University of Pennsylvania.
    11. Jansen, Dennis W. & Koedijk, Kees G. & de Vries, Casper G., 2000. "Portfolio selection with limited downside risk," Journal of Empirical Finance, Elsevier, vol. 7(3-4), pages 247-269, November.
    12. Levy, Haim & Sarnat, Marshall, 1972. "Safety First — An Expected Utility Principle," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 7(3), pages 1829-1834, June.
    13. Arzac, Enrique R. & Bawa, Vijay S., 1977. "Portfolio choice and equilibrium in capital markets with safety-first investors," Journal of Financial Economics, Elsevier, vol. 4(3), pages 277-288, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Izhar, Hylmun, 2012. "Measuring Operational Risk Exposures in Islamic Banking: A Proposed Measurement Approach," Islamic Economic Studies, The Islamic Research and Training Institute (IRTI), vol. 20, pages 45-86.
    2. Bauer, Daniel & Zanjani, George, 2021. "Economic capital and RAROC in a dynamic model," Journal of Banking & Finance, Elsevier, vol. 125(C).
    3. Björn Häckel, 2010. "Risikoadjustierte Wertbeiträge zur ex ante Entscheidungsunterstützung: Ein axiomatischer Ansatz," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 21(1), pages 81-108, June.
    4. George Zanjani, 2010. "An Economic Approach to Capital Allocation," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(3), pages 523-549, September.
    5. Carsten Homburg & Marliese Uhrig-Homburg, 2004. "Zentrales und dezentrales Risikocontrolling in Industrieunternehmen," Schmalenbach Journal of Business Research, Springer, vol. 56(4), pages 311-332, June.
    6. Goel, Tirupam & Lewrick, Ulf & Tarashev, Nikola, 2020. "Bank capital allocation under multiple constraints," Journal of Financial Intermediation, Elsevier, vol. 44(C).
    7. DiTraglia, Francis J. & Gerlach, Jeffrey R., 2013. "Portfolio selection: An extreme value approach," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 305-323.
    8. Schosser, Josef, 2019. "Consistency between principal and agent with differing time horizons: Computing incentives under risk," European Journal of Operational Research, Elsevier, vol. 277(3), pages 1113-1123.
    9. Hübner, Georges & Lejeune, Thomas, 2021. "Mental accounts with horizon and asymmetry preferences," Economic Modelling, Elsevier, vol. 103(C).
    10. Mencía, Javier, 2012. "Assessing the risk-return trade-off in loan portfolios," Journal of Banking & Finance, Elsevier, vol. 36(6), pages 1665-1677.
    11. Daniel Bauer & George Zanjani, 2016. "The Marginal Cost of Risk, Risk Measures, and Capital Allocation," Management Science, INFORMS, vol. 62(5), pages 1431-1457, May.
    12. Victoria Geyfman, 2005. "Risk-adjusted performance measures at bank holding companies with section 20 subsidiaries," Working Papers 05-26, Federal Reserve Bank of Philadelphia.
    13. Haim Levy, 2010. "The CAPM is Alive and Well: A Review and Synthesis," European Financial Management, European Financial Management Association, vol. 16(1), pages 43-71, January.
    14. Bali, Turan G. & Neftci, Salih N., 2003. "Disturbing extremal behavior of spot rate dynamics," Journal of Empirical Finance, Elsevier, vol. 10(4), pages 455-477, September.
    15. Chris D'Souza & Alexandra Lai, 2006. "The Effects Of Bank Consolidation On Risk Capital Allocation And Market Liquidity," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 29(2), pages 271-291, June.
    16. Dias, Alexandra, 2016. "The economic value of controlling for large losses in portfolio selection," Journal of Banking & Finance, Elsevier, vol. 72(S), pages 81-91.
    17. Chris D'Souza, 2002. "How Do Canadian Banks That Deal in Foreign Exchange Hedge Their Exposure to Risk?," Staff Working Papers 02-34, Bank of Canada.
    18. Isil Erel & Stewart C. Myers & James A. Read, 2021. "Risk Capital: Theory and Applications," Journal of Applied Corporate Finance, Morgan Stanley, vol. 33(1), pages 8-21, March.
    19. Erel, Isil & Myers, Stewart C. & Read, James A., 2015. "A theory of risk capital," Journal of Financial Economics, Elsevier, vol. 118(3), pages 620-635.
    20. Hałaj, Grzegorz, 2013. "Optimal asset structure of a bank - bank reactions to stressful market conditions," Working Paper Series 1533, European Central Bank.

    More about this item

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ecm:wc2000:0162. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Christopher F. Baum (email available below). General contact details of provider: https://edirc.repec.org/data/essssea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.