Longevity, Growth and Intergenerational Equity - The Deterministic Case

Challenges raised by ageing (increasing longevity) have prompted policy debates featuring policy proposals justified by reference to some notion of intergenerational equity. However, very different policies ranging from pre-savings to indexation of retirement ages have been justified in this way. We develop an overlapping generations model in continuous time which encompasses different generations with different mortality rates and thus longevity. Allowing for trend increases in both longevity and productivity, we address the issue of intergenerational equity under a utilitarian criterion when future generations are better off in terms of both material and non-material well being. Increases in productivity and longevity are shown to have very different implications for intergenerational distribution.

The golden rule of longevity

How much should society invest in medical care that extends the lives of the older generations? We derive a golden rule for the level of health care expenditures and find that the optimal level of life-extending health care expenditures should increase with rising productivity, increase with the retirement age, and also increase with the population growth rate if a higher growth rate lowers the ratio of retirees to working-age people sufficiently, while the effects of an improvement in medical technology are ambiguous. Moreover, we find that a market economy may be inefficient in terms of the provision of life-extending health care because an individual ignores the effect of his own longevity on the income of others

Longevity, Growth and Intergenerational Equity - The Deterministic Case

Challenges raised by ageing (increasing longevity) have prompted policy debates featuring policy proposals justified by reference to some notion of intergenerational equity. However, very different policies ranging from pre-savings to indexation of retirement ages have been justified in this way. We develop an overlapping generations model in continuous time which encompasses different generations with different mortality rates and thus longevity. Allowing for both trend increases in longevity and productivity, we address the issue of intergenerational equity under a utilitarian criterion when future generations are better off in terms of both material and non-material well being. Increases in productivity and longevity are shown to have very different implications for intergenerational distribution.OLG models, demographics, longevity, taxes, transfers, retirement age, dependency ratio, healthy ageing, decentralization