In this paper, we analyse and construct a lifetime utility maximisation model with hyperbolic discounting. Within the model, a number of assumptions are made: complete markets, actuarially fair life insurance/annuity is available, and investors have time-dependent preferences. Time dependent...

This paper investigates the effect of adverse selection on the private annuity market in a model with two periods of retirement and two types of individuals, who differ in their life expectancy. In order to introduce the existence of limited-time pension insurance, we consider a model where for...

In a two-period model with uncertainty about life expectancy, we analyze several measures which are typically included in a social security reform: tax incentives for private life annuities, a cut in the social security benefits and an increase in the social security tax. First, we look at the...

This paper investigates the effect of adverse selection and price competition on the private annuity market in a model with two retirement periods. In this framework annuity companies can offer contracts with different payoffs over the periods of retirement. Varying the time structure of the...

This paper investigates the effect of adverse selection on the private annuity market in a model with two periods of retirement. In order to introduce the existence of limited-time pension insurance, we assume that for each period of retirement separate contracts can be purchased. Demand for the...