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Sensitivity Analysis of Portfolio Volatility: Importance of Weights, Sectors and Impact of Trading Strategies

  • Emanuele Borgonovo
  • Marco Percoco
Part of the Finance and Capital Markets Series book series (FCMS)

Abstract

This chapter discusses the application of a new method to the Sensitivity Analysis (SA) of portfolio properties and proposes an SA scheme that is capable of assessing the joint impact of changes in portfolio composition on portfolio volatility (σ p ).

Keywords

GARCH Model Portfolio Weight Intel Corp Portfolio Composition American Express 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Black, F. and Scholes, M. (1973) “The Pricing of Options and Corporate Liabilities”, Journal of Political Economy, 81 (3): 637–54.CrossRefGoogle Scholar
  2. Bollerslev, T. (1986) “Generalized Autoregressive Conditional Heteroskedasticity”, Journal of Econometrics, 31: 307–27.CrossRefGoogle Scholar
  3. Bollerslev, T. and Engle, R.F. (1993) “Common Persistence in Conditional Variances”, Econometrica, 61 (1): 167–86.CrossRefGoogle Scholar
  4. Borgonovo, E. (2001) “Risk-Informed Decision Making: Sensitivity Analysis and Applications”, Ph.D thesis, Massachusetts Institute of Technology.Google Scholar
  5. Borgonovo, E. and Apostolakis, G.E. (2001) “A New Importance Measure for Risk- Informed Decision-Making”, Reliability Engineering and System Safety, 72 (2): 193–212.CrossRefGoogle Scholar
  6. Borgonovo, E. and Apostolakis, G.E. (2001) “On Local Sensitivity Measures”, Proceedings of Sensitivity Analysis of Model Output, Madrid, Spain.Google Scholar
  7. Borgonovo, E. and Peccati, L. (2004) “Sensitivity Analysis in Investment Project Evaluation”, International Journal of Production Economics, 90: 17–25.CrossRefGoogle Scholar
  8. Borgonovo, E. (2001) “Importance Relations and Sensitivity Analysis in Decision Theory”, Proceedings of the Tenth International Conference on Foundations and Applications of Utility, Risk and Decision Theory, Torino, 30 May-2 June 2001, pp. 20–3.Google Scholar
  9. Borgonovo, E. and Peccati, L. (2004) “The Importance of Assumptions in Investment Evaluation”, International Journal of Production Economics, 90: 17–25.CrossRefGoogle Scholar
  10. Campbell, J.Y., Lo, A.W. and MacKinlay, A.C. (1997) The Econometrics of Financial Markets (Princeton, NJ: Princeton University Press).Google Scholar
  11. Campolongo, F. and Saltelli, A. (1997) “Sensitivity Analysis of an Environmental Model: an Application of Different Analysis Methods”, Reliability Engineering and System Safety, 57: 49–69.CrossRefGoogle Scholar
  12. Cheok, M.C., Parry, G.W. and Sherry, R.R. (1998) “Use of Importance Measures in Risk Informed Regulatory Applications”, Reliability Engineering and System Safety, 60: 213–26.CrossRefGoogle Scholar
  13. Drudi, F., Generale, A. and Majnoni, G. (1997) “Sensitivity of VaR Measures to Different Risk Models”, Banca d’Italia, Terni di discussione, no. 317.Google Scholar
  14. Duan, J.-C. (1995) “The GARCH Option Pricing Model”, Mathematical Finance, 5: 13–32.CrossRefGoogle Scholar
  15. Duan, J.-C. and Zhang, H. (2001) “Pricing Hang Seng Index Options around the Asian Financial Crisis–A GARCH Approach”, Journal of Banking and Finance, 25 (11): 1989–2014.CrossRefGoogle Scholar
  16. Engle, R.F. (1982) “Autoregressive Conditional Heteroskedasticity with Estimates of the Variance of the United Kingdom Inflation”, Econometrica, 50: 987–1007.CrossRefGoogle Scholar
  17. Engle, R.F. and Merzich, J. (1996) “GARCH for Groups”, RISK, August: 36–40.Google Scholar
  18. Gourieroux, C., Laurent, J.P. and Scaillet, O. (2000) “Sensitivity Analysis of Values at Risk”, Journal of Empirical Finance, 7: 225–45.CrossRefGoogle Scholar
  19. Hull, J.C. (1999) Options, Futures and Other Derivatives (Upper Saddle River, NJ: Prentice-Hall).Google Scholar
  20. Manganelli, S. (2004) “Asset Allocation by Variance Sensitivity Analysis”, Journal of Financial Econometrics, 2 (3): 370–89.CrossRefGoogle Scholar
  21. Manganelli, S., Ceci, V. and Vecchiato, W. (2002) “Sensitivity Analysis of Volatility: A New Tool for Risk Management”, European Central Bank, Working Paper Series, Working Paper no. 194.Google Scholar
  22. McNeil A.J. and Frey, R. (2000) “Estimation of Tail Related Risk Measures for Heteroskedastic Financial Time Series: An Extreme Value Approach”, Journal of Empirical Finance, 7 (3–4): 271–300CrossRefGoogle Scholar
  23. Noh, J. (1997) “Small Sample Properties of GARCH(1,1) Estimator Under Non-normality”, Economics Letters, 55: 161–4.CrossRefGoogle Scholar
  24. Saltelli, A. (1997) “The Role of Sensitivity Analysis in the Corroboration of Models and its Link to Model Structural and Parametric Uncertainty”, Reliability Engineering and System Safety, 57: 1–4.CrossRefGoogle Scholar
  25. Saltelli, A. (1999) “Sensitivity Analysis: Could Better Methods be Used?”, Journal of Geophysical Research, 104: 3789–93.CrossRefGoogle Scholar
  26. Saltelli, A. (2003) “Introduction to Variance-Based Sensitivity Analysis”, JRC, mimeo.Google Scholar
  27. Saltelli, A., Tarantola, S. and Chan, K.P.S. (1999) “A Quantitative Model-Independent Method for Global Sensitivity Analysis of Model Output”, Technometrics, 41 (1): 39–56.CrossRefGoogle Scholar
  28. Shephard, N. (2005) “Stochastic Volatility”, in N. Shephard (ed.), Advanced Texts in Econometrics (Oxford: Oxford University Press).Google Scholar
  29. Simon, C.P. and Blume, L. (1994) Mathematics for Economists (New York: W.W. Norton & Co.).Google Scholar
  30. Taggart, R.A. (1996) Quantitative Analysis for Investment Management (Upper Saddle River, NJ: Prentice-Hall).Google Scholar
  31. Turanyi, T. and Rabitz, H. (2000) “Local Methods”, in A. Saltelli, K. Chan and E.M. Scott (eds), Sensitivity Analysis (Chichester, UK: John Wiley & Sons).Google Scholar
  32. Wang, Z. (1998) “Efficiency Loss and Constraints on Portfolio Holding”, Journal of Financial Economics, 48 (3): 359–75.CrossRefGoogle Scholar

Copyright information

© Emanuele Borgonovo and Marco Percoco 2007

Authors and Affiliations

  • Emanuele Borgonovo
  • Marco Percoco

There are no affiliations available

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