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Inhaltsverzeichnis Liste der wissenschaftlichen Beiträge .................................................................................. III Inhaltsverzeichnis ..............................................................................................................IV Abbildungsverzeichnis I List of Figures ................................................................................ VII Tabellenverzeichnis I List of Tables ..................................................................................... VIII Abkürzungsverzeichnis .......................................................................................................... IX 1 Einleitung 1.1 Problemstellung .............................................................................................................. 1 1.2 Einordnung und Ergebnisse der wissenschaftlichen Beiträge ....................................... 3 Literaturverzeichnis ................................................................................................................ 9 2 Langes Leben und Wohlstand im Alter: Ein Überblick über die finanzwirtschaftlichen Alternativen zur Ausgestaltung des Ruhestandes ... 10 2.1 Einführung .................................................................................................................... 10 2.2 Produktalternativen fiir die Ausgestaltung der Entnahmephase .................................. 12 2.2.1 Leibrenten .......................................................................................................... 12 2.2.1.1 Charakteristika von Leibrenten und deren historische Entwicklung .... 12 2.2.1.2 Leibrentenmarkt und -produkte in Deutschland ................................... 15 2.2.1.3 Determinanten von Leibrentenprämien ................................................ 22 2.2.2 Entnahmepläne ................................................................................................... 28 2.2.2.1 Charakteristika von Entnahmeplänen ................................................... 28 2.2.2.2 Entnahmepläne als Instrument der Ruhestandsplanung ....................... 31 2.2.2.3 Leibrenten vs. Entnahmepläne .............................................................. 33 2.3 Forschungsergebnisse zur Ausgestaltung der Entnahmephase .................................... 36 2.3.1 Einleitende Bemerkungen .................................................................................. 36 2.3.2 Positive Literatur ................................................................................................ 37 2.3.2.1 Theoretische Arbeiten zur Bedeutung von Leibrenten ......................... 37 2.3.2.2 Vererbungsmotive als Erklärungsansatz fiir geringe Nachfrage nach Leibrenten ... 39 2.3.2.3 Kosten als Erklärungsansatz fiir geringe Nachfrage nach Leibrenten .. 42 2.3.2.4 Weitere Erklärungsansätze rur geringe Nachfrage nach Leibrenten .... 44 2.3.3 Normative Literatur ............................................................................................ 47 2.3.3.1 Untersuchungen zu reinen Entnahmeplänen ......................................... 47 2.3.3.2 Untersuchung von Entnahmeplänen unter Berücksichtigung von Leibrenten ..... 50 2.3.4 Sonstige Arbeiten ............................................................................................... 56 2.4 Schlussbetrachtung ....................................................................................................... 57 Anhang A: Berechnung von Leibrentenprämien ................................................................. 59 Anhang B: Abbildung der Biometrie ................................................................................... 62 Literaturverzeichnis .............................................................................................................. 67 3 Betting on Death and Capital Markets in Retirement: A Shortfall Risk Analysis of Life Annuities versus Phased Withdrawal Plans... 76 3.1 Introduction .................................................................................................................. 76 3.2 The Case of Phased Withdrawal .................................................................................. 79 3.2.1 Withdrawal Plans with Fixed Benefits ............................................................... 80 3.2.2 Phased Withdrawal Rules with Variable Benefits ............ : ................................ 80 3.3 Risk and Reward Analysis of Phased Withdrawal Plans Conditional on Survival... ... 82 3.3.1 Research Design ................................................................................................. 82 3.3.2 Analysis of Expected Benefits ........................................................................... 84 3.3.3 Shortfall Risk Analysis ...................................................................................... 86 3.3.4 Analysis of Expected Bequests .......................................................................... 89 3.4 Risk-Minimizing Phased Withdrawal Strategies ......................................................... 90 3.4.1 Optimized Withdrawal Rules in a Risk-Return Context... ................................. 90 3.4.2 Comparative Results: Annuity versus Phased Withdrawal Plans ...................... 92 3.4.3 Phased Withdrawal Plans with Mandatory Deferred Annuities ........................ 97 3.4.4 Comparative Results ........................................................................................ 100 3.5 Summary and concluding remarks ............................................................................. 101 Appendix A: Determining Annuity Benefits ..................................................................... 104 Appendix B: Determining Expected Benefits, Expected Bequest and the Risk of a Consumption Shortfall for Phased Withdrawal Plans with given Benefit-to-Wealth Ratios .......................................................................................................................... 105 References .......................................................................................................................... 107 4 Leistungsgarantien in der Auszahlphase von investmentbasierten Altersvorsorgeverträgen: Entwicklung eines konditionalen Eigenkapitalsystems und Analyse seiner ökonomischen Implikationen ... 111 4.1 Einführung .................................................................................................................. 111 4.2 Altersvorsorgeverträge in der Auszahlphase ............................................................. 114 4.2.1 Gesetzliche Regelungen ................................................................................... 114 4.2.2 Entnahmepläne vs. Leibrenten ......................................................................... 115 4.3 Konditionales Eigenkapitalsystem fiir Altersvorsorgeverträge ................................. 117 4.3.1 Einleitende Vorbemerkungen ........................................................................... 117 4.3.2 Konzeptionelle Grundlagen eines konditionalen EK-Systems ........................ 119 4.3.3 Deduktion eines Eigenkapitalsystems fiir die Entnahmephase ........................ 121 4.4 Eigenkapitalanforderungen in der Entnahmephase .................................................... 126 4.4.1 Vorbemerkungen zur empirischen Untersuchung ............................................ 126 4.4.2 Ex post Analyse von Altersvorsorge-Entnahmeplänen ................................... 128 4.4.3 Untersuchung der Eigenkapitalanforderungen im ex ante Kontext ................. 132 4.4.3.1 Untersuchungsansatz und Modellannahmen ....................................... 132 4.4.3.2 Analysen auf Einzelvertragsbasis ....................................................... 135 4.4.3.3 Analysen im Rahmen eines Geschäfts- und Absatzmodells ............... 140 4.4.3.4 Robustheitsanalysen ............................................................................ 145 4.5 Schlussbetrachtung ..................................................................................................... 147 Literaturverzeichnis ............................................................................................................ 149 Lebenslauf ............................................................................................................................. 151 Ehrenwörtliche Erklärung: ................................................................................................. 154
How might retirees consider deploying the retirement assets accumulated in a defined contribution pension plan? One possibility would be to purchase an immediate annuity. Another approach, called the "phased withdrawal" strategy in the literature, would have the retiree invest his funds and then withdraw some portion of the account annually. Using this second tactic, the withdrawal rate might be determined according to a fixed benefit level payable until the retiree dies or the funds run out, or it could be set using a variable formula, where the retiree withdraws funds according to a rule linked to life expectancy. Using a range of data consistent with the German experience, we evaluate several alternative designs for phased withdrawal strategies, allowing for endogenous asset allocation patterns, and also allowing the worker to make decisions both about when to retire and when to switch to an annuity. We show that one particular phased withdrawal rule is appealing since it offers relatively low expected shortfall risk, good expected payouts for the retiree during his life, and some bequest potential for the heirs. We also find that unisex mortality tables if used for annuity pricing can make women's expected shortfalls higher, expected benefits higher, and bequests lower under a phased withdrawal program. Finally, we show that delayed annuitization can be appealing since it provides higher expected benefits with lower expected shortfalls, at the cost of somewhat lower anticipated bequests. Klassifikation: G22, G23, J26, J32, H55 . January 2004.
In this paper we have developed a financial model of the non-life insurer to provide assistance for the management of the insurance company in making decisions on product, investment and reinsurance mix. The model is based on portfolio theory and recognizes the stochastic nature of and the interaction between the underwriting and investment income of the insurance business. In the context of an empirical application we illustrate howa portfolio optimisation approach can be used for asset-liability management.