We find that health cost risk lowers optimal annuity demand at retirement. If medical expenses can be sizeable early in retirement, full annuitisation at retirement is no longer optimal because agents do not have enough time to build a liquid wealth buffer. Furthermore, large deviations from optimal annuitisation levels lead to small utility differences. Our results suggest that health cost risk can explain a large proportion of empirically observed annuity choices. Finally, allowing additional annuitisation after retirement results in welfare gains of at most 2.5% when facing health cost risk, and negligible gains without this risk.As a consequence of an ageing population in many countries, much attention (both by policymakers and academics) is directed towards providing and optimising financial security during retirement. In this respect, the most important risks elderly face are longevity and health cost risk. Longevity risk can be hedged using annuities. Health cost, 1 and the risk therein, have increased substantially over the last decades, in all Western countries. The main goal of pension policies, and social security in general, is to provide financial security to the elderly. Thus health risk, as one of the major financial risks for these individuals, should be taken into account when designing such a system. In spite of health risks being actively discussed in the public policy debate, few papers examine what asset allocation policy is optimal when retirees face health risk. In this article, we attempt to fill this gap and examine to what extent individuals can still annuitise their wealth when facing health risk. We thus study the trade-off between longevity risk insurance and saving for unexpected liquidity needs due to health cost. We explore the impact of health cost, taking into account not only health cost but also health state dependence of utility and high end-of-life health cost.Prior research has shown that full annuitisation is optimal for individuals who only face uncertainty about their time of death. Yaari (1965) shows that agents, with no