Annuity Divisors

Sammanfattning: This paper studies the differences and similarities between the discrete annuity divisor of the income pension compared to the continuous annuity divisor of the premium pension in Sweden. First discrete and continuous annuity divisors are compared and found to be equivalent given the same underlying mortality. The income divisor is based on observed mortality in a period setting while the premium divisor which is based on projected mortality in a cohort setting. The expected performance of the two methods is studied by constructing prediction intervals based on Lee-Carter models with either a Binomial or Poisson distribution. Prediction intervals are constructed using either residual bootstrap or parametric bootstrap. The premium annuity divisor is found to outperform the income annuity divisor, there is a large risk that the latter underestimates the future mortality.