This paper explores the relationship between longevity risk and health status transition under the framework of life cycle model to explore the optimal insurance allocation including annuity and nursing insurance under different incidence scenarios and the old-age security needs of residents Based on the data from China Health and Pension Tracking Survey (CHARLS), this paper calculates the health state transition probability of residents and calibrates the health state transition probability by using the mortality data of Lee-Carter model, and then solves the optimal insurance decision of residents under different incidence scenarios by multi-period life cycle model The results show that the demand for first annuity and nursing insurance is influenced by initial endowment, health status, minimum living and bequest motivation Residents with lower initial endowments are reluctant to buy annuities and nursing insurance because of precautionary savings motivation Expenditure on care insurance when purchasing both annuities and care insurance may weaken the demand for annuities Secondly, under the interaction of longevity risk and health status transition, residents have higher disability probability and higher demand for annuity and nursing insurance under the scenario of expanding incidence Thirdly, under the optimal wealth decision, the optimal allocation of annuity and nursing insurance makes the wealth level of residents more stable

It has been confirmed that sustainable investments contributing to environmental protection can benefit from the deterioration of air pollution, but this influence mechanism has not been fully discussed. This paper proposes a mediation model to study air pollution's influence on green bonds. Theoretically, air pollution raises public environmental awareness and perceptions of physical health risks, leading to increased public concern. Enhanced public concern drives investors' green preference and environmental responsibility, thus expanding green bond demand. Our studies show air pollution is significantly positive related to public concern. Public concern positively links with green bond investment willingness, resulting in increased volatility. The total positive effect of air pollution on green bond is partly absorbed by the effect of public concern. These findings confirm the mediation role of public concern. In addition, major crisis events (e.g., COVID-19) may hinder the mediation process by generating a negative trend and distracting the public.