The financial equilibrium of pension funds relies on the appropriate computation of retirement benefits, taking account of future payments and discount rates. Short-term errors in the commitment for retirement benefits, ill-suited investment in the stock market, or improper mixture with pay-as-you-go payments have long-term consequences and may lead the pension fund to insolvency. The differential equation governing the current assets shows the respective weights associated with the error on the interest rate, the error on the extra bonus, and the error made in forecasting mortality. These weights are estimated through simulations. A short follow-up is sufficient to estimate the three errors. A threshold for the extra interest rate to be earned on the financial market is given to counter-balance the extra bonus when mortality is forecast correctly.
References
[1]
Bowers, N.L.; Hickman, J.C.; Nesbitt, C.J. Introduction to the dynamics of pension funding. Transactions of the Society of Actuaries 1976, 28, 177–203.
[2]
El Mekkaoui-de Freitas, Najat. R′eglement et choix de portefeuille des fonds de pension. In Fonds de Pension; Bismut, C., El Mekkaoui-de Freitas, N., Eds.; Economica: Paris, France, 2000; pp. 129–143.
[3]
Blake, D. Pension schemes as options on pension fund assets: Implications for pension fund management. Insur. Math. Econ. 1998, 23, 263–286, doi:10.1016/S0167-6687(98)00048-1.
[4]
Chapman, R.J.; Gordon, T.J.; Speed, C.A. Pensions, funding, and risk. British Actuarial Journal 2001, 7(4), 605–663, doi:10.1017/S1357321700002488.
M？ller, T.; Steffensen, M. Market-Valuation Methods in Life and Pension Insurance; Cambridge University Press: Cambridge, UK, 2007.
[10]
Ledermann, S. Nouvelles tables-types de mortalité; PUF/Ined: Paris, France, 1969.
[11]
Marini, P. L’épargne retraite en France trois ans apres la loi Fillon (21 ao？ut 2003) : Quel complément de retraite par répartition ? In Rapport d’information fait au nom de la Commission des finances, ducontr？le budgétaire et des comptes économiques de la Nation; 2006.
