This paper studies the life cycle consumption-investment-insurance problem of a family. The wage earner faces the risk … of a health shock that significantly increases his probability of dying. The family can buy term life insurance with …

stochastic mortality risk and health shock risk numerically. These shocks are interpreted as critical illness and can negatively … affect the expected remaining lifetime, the health expenses, and the income. In order to hedge the health expense effect of a …

stochastic mortality risk driven by jumps, unspanned labor income as well as short-sale and liquidity constraints and a simple … insurance. I compare models with deterministic and stochastic hazard rate of death to a model without mortality risk. Mortality … risk has only minor effects on the optimal controls early in the life cycle but it becomes crucial in later years. A …