Arbeitspapier

Discrete and continuous time dynamic mean-variance analysis

Contrary to static mean-variance analysis, very few papers have dealt with dynamic mean-variance analysis. Here, the mean-variance efficient self-financing portfolio strategy is derived for n risky assets in discrete and continuous time. In the discrete setting, the resulting portfolio is mean-variance efficient in a dynamic sense. It is shown that the optimal strategy for n risky assets may be dominated if the expected terminal wealth is constrained to exactly attain a certain goal instead of exceeding the goal. The optimal strategy for n risky assets can be decomposed into a locally mean-variance efficient strategy and a strategy that ensures optimum diversification across time. In continuous time, a dynamically mean-variance efficient portfolio is infeasible due to the constraint on the expected level of terminal wealth. A modified problem where mean and variance are determined at t=0 was solved by Richardson (1989). The solution is discussed and generalized for a market with n risky assets. Moreover, a dynamically optimal strategy is presented for the objective of minimizing the expected quadratic deviation from a certain target level subject to a given mean. This strategy equals that of the first objective. The strategy can be reinterpreted as a two-fund strategy in the growth optimum portfolio and the risk-free asset.

Sprache
Englisch

Erschienen in
Series: Tübinger Diskussionsbeiträge ; No. 168

Klassifikation
Wirtschaft
Optimization Techniques; Programming Models; Dynamic Analysis
Portfolio Choice; Investment Decisions
Thema
Dynamic Optimization
Growth Optimum Portfolio
Mean-Variance-Efficiency
Minimum Deviation
Portfolio Selection
Two-Fund Theorem
Portfolio-Management
Dynamische Optimierung
Theorie
Maßzahl

Ereignis
Geistige Schöpfung
(wer)
Reiss, Ariane
Ereignis
Veröffentlichung
(wer)
Eberhard Karls Universität Tübingen, Wirtschaftswissenschaftliche Fakultät
(wo)
Tübingen
(wann)
1999

Handle
URN
urn:nbn:de:bsz:21-opus-21121
Letzte Aktualisierung
20.09.2024, 08:21 MESZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Reiss, Ariane
  • Eberhard Karls Universität Tübingen, Wirtschaftswissenschaftliche Fakultät

Entstanden

  • 1999

Ähnliche Objekte (12)