households with children are under-insured against the risk that an adult member of the household dies. We develop a tractable … macroeconomic model with human capital risk, age-dependent returns to human capital investment, and endogenous borrowing constraints …

populated by a large number of long-lived, risk-averse households with homothetic preferences who can invest in risk … households less than half of human capital risk is insured and the welfare losses due to the lack of insurance range from 3 …