Portfolio Optimization wehn Risk Factors are Conditionally Varying and Heavy Tailed

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Portfolio Optimization wehn Risk Factors are Conditionally Varying and Heavy Tailed

Author Info

Toker Doganoglu () (University of Munich)
Christoph Hartz () (University of Munich)
Stefan Mittnik () (University of Munich, Center for Financial Studies and ifo)

Abstract

Assumptions about the dynamic and distributional behavior of risk factors are crucial for the construction of optimal portfolios and for risk assessment. Although asset returns are generally characterized by conditionally varying volatilities and fat tails, the normal distribution with constant variance continues to be the standard framework in portfolio management. Here we propose a practical approach to portfolio selection. It takes both the conditionally varying volatility and the fat-tailedness of risk factors explicitly into account, while retaining analytical tractability and ease of implementation. An application to a portfolio of nine German DAX stocks illustrates that the model is strongly favored by the data and that it is practically implementable.

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Paper provided by Center for Financial Studies in its series CFS Working Paper Series with number 2006/24.

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Length: 27 pages
Date of creation: 03 Nov 2006
Date of revision:
Handle: RePEc:cfs:cfswop:wp200624

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Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions
G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies
G18 - Financial Economics - - General Financial Markets - - - Government Policy and Regulation

This paper has been announced in the following NEP Reports:

NEP-ALL-2007-03-17 (All new papers)
NEP-FMK-2007-03-17 (Financial Markets)
NEP-RMG-2007-03-17 (Risk Management)

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.:

Harlow, W. V. & Rao, Ramesh K. S., 1989. "Asset Pricing in a Generalized Mean-Lower Partial Moment Framework: Theory and Evidence," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(03), pages 285-311, September. [Downloadable!]
Fama, Eugene F, 1971. "Risk, Return, and Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 79(1), pages 30-55, Jan.-Feb.. [Downloadable!] (restricted)
Bawa, Vijay S & Elton, Edwin J & Gruber, Martin J, 1979. "Simple Rules for Optimal Portfolio Selection in Stable Paretian Markets," Journal of Finance, American Finance Association, vol. 34(4), pages 1041-47, September. [Downloadable!] (restricted)

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