Static Mean-Variance Analysis with Uncertain Time Horizon

We generalize Markowitz analysis to the situations involving an uncertain exit time.

Author(s):

Lionel Martellini

Professor of Finance and Scientific Director of the EDHEC Risk and Asset Management Research Centre

Branko Uroevic

Department of Economics and Business, Universitat Pompeu Fabra, Barcelona

Our approach preserves the form of the original problem in that an investor minimizes portfolio variance for a given level of the expected return. However, inputs are now given by the generalized expressions for mean and variance-covariance matrix involving moments of the random exit time in addition to the conditional moments of asset returns. While efficient frontiers in the generalized and the standard Markowitz case may coincide under certain conditions, we demonstrate, by means of an example, that in general that is not true. In particular, portfolios efficient in the standard Markowitz sense can be inefficient in the generalized sense and vice versa. As a result, an investor facing an uncertain time-horizon and investing as if her time of exit is certain would in general make sub-optimal portfolio allocation decisions. Numerical simulations show that a significant efficiency loss can be induced by an improper use of standard mean-variance analysis when time-horizon is uncertain.
Pdf
Static Mean-Variance Analysis with Uncertain Time Horizon...
(-1.00 B)
Type: Working paper
Date: le 04/07/2005
Extra information : Pour plus d'informations, nous vous prions de vous adresser à Joanne Finlay, Direction de la recherche de l'EDHEC [ joanne.finlay@edhec.edu] Les opinions exprimées sont celles de l'auteur et n'engagent pas la responsabilité de l'EDHEC.
Research Cluster : Finance

See Also

Bond Portfolio Optimization in the Presence of Duration Constraints - EDHEC-Risk Institute research article in the Journal of Fixed Income
News
- 19-07-2018
We are pleased to enclose an EDHEC-Risk Institute research article published in the...
Lionel Martellini discussed ageing population: goal-based investing and its application to the retirement problem
News
- 10-07-2018
Lionel Martellini, Professor of Finance at EDHEC Business School and Director of EDHEC-...
[EDHEC Experience] Light on the first urban Lab of Latin America
News
- 09-07-2018
Wide Open: in the explorers' shoes The third stopover of the Wide Open project has been...
EDHECInfra Days: Infrastructure Investors need proper benchmarks
News
- 05-07-2018
Earlier this month we held the first EDHECinfra Days event in London, bringing together...