Abstract
AbstractThe number of people who receive a stable income for life from a closed pooled annuity fund is studied. Income stability is defined as keeping the income within a specified tolerance of the initial income in a fixed proportion of future scenarios. The focus is on quantifying the effect of the number of members, which drives the level of idiosyncratic longevity risk in the fund, on the income stability. To do this, investment returns are held constant, and systematic longevity risk is omitted. An analytical expression that closely approximates the number of fund members who receive a stable income is derived and is seen to be independent of the mortality model. An application of the result is to calculate the length of time for which the pooled annuity fund can provide the desired level of income stability.
Publisher
Cambridge University Press (CUP)
Subject
Economics and Econometrics,Finance,Accounting
Reference35 articles.
1. Exact distributions for some Rényi-type statistics
2. Tontine pensions;Forman;University of Pennsylvania Law Review,2015
3. Brownian Motion and Stochastic Calculus
4. Portfolio and consumption choice with stochastic investment opportunities and habit formation in preferences
5. Decision rules and portfolio management for retirees: Is the ‘safe’ initial withdrawal rate too safe?;Guyton;Journal of Financial Planning,2004
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