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Tracking error with minimum guarantee constraints

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Author Info
Diana Barro () (Department of Applied Mathematics, University of Venice)
Elio Canestrelli () (Department of Applied Mathematics, University of Venice)

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Abstract

In recent years the popularity of indexing has greatly increased in financial markets and many different families of products have been introduced. Often these products also have a minimum guarantee in the form of a minimum rate of return at specified dates or a minimum level of wealth at the end of the horizon. Period of declining stock market returns together with low interest rate levels on Treasury bonds make it more difficult to meet these liabilities. We formulate a dynamic asset allocation problem which takes into account the conflicting objectives of a minimum guaranteed return and of an upside capture of the risky asset returns. To combine these goals we formulate a double tracking error problem using asymmetric tracking error measures in the multistage stochastic programming framework.

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File URL: http://www.dma.unive.it/wpdma/2008wp172.pdf
File Format: application/pdf
File Function: First version, 2008
Download Restriction: no

Publisher Info
Paper provided by Department of Applied Mathematics, University of Venice in its series Working Papers with number 172.

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Length: 12 pages
Date of creation: Nov 2008
Date of revision:
Handle: RePEc:vnm:wpaper:172

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Related research
Keywords: Minimum guarantee; benchmark; tracking error; dynamic asset allocation; scenario;

Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. El Karoui, Nicole & Jeanblanc, Monique & Lacoste, Vincent, 2005. "Optimal portfolio management with American capital guarantee," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 449-468, March. [Downloadable!] (restricted)
  2. S?rensen, Carsten, 1999. "Dynamic Asset Allocation and Fixed Income Management," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(04), pages 513-531, December. [Downloadable!]
  3. Brennan, M.J. & Solanki, R., 1981. "Optimal Portfolio Insurance," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(03), pages 279-300, September. [Downloadable!]
  4. Muermann, Alexander & Mitchell, Olivia S. & Volkman, Jacqueline M., 2006. "Regret, portfolio choice, and guarantees in defined contribution schemes," Insurance: Mathematics and Economics, Elsevier, vol. 39(2), pages 219-229, October. [Downloadable!] (restricted)
  5. Consiglio, Andrea & Saunders, David & Zenios, Stavros A., 2006. "Asset and liability management for insurance products with minimum guarantees: The UK case," Journal of Banking & Finance, Elsevier, vol. 30(2), pages 645-667, February. [Downloadable!] (restricted)
  6. Rudolf, Markus & Wolter, Hans-Jurgen & Zimmermann, Heinz, 1999. "A linear model for tracking error minimization," Journal of Banking & Finance, Elsevier, vol. 23(1), pages 85-103, January. [Downloadable!] (restricted)
  7. Grossman, Sanford J & Zhou, Zhongquan, 1996. " Equilibrium Analysis of Portfolio Insurance," Journal of Finance, American Finance Association, vol. 51(4), pages 1379-1403, September. [Downloadable!] (restricted)
  8. Diana Barro & Elio Canestrelli, 2005. "Tracking Error: a multistage portfolio model," GE, Growth, Math methods 0510012, EconWPA. [Downloadable!]
  9. Alexander, Gordon J. & Baptista, Alexandre M., 2006. "Portfolio selection with a drawdown constraint," Journal of Banking & Finance, Elsevier, vol. 30(11), pages 3171-3189, November. [Downloadable!] (restricted)
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This page was last updated on 2009-11-25.


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