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 realistic features. In particular, the available contracts...

We consider an investor, with an uncertain life time, endowed with deterministic labor income, who has the possibility to continuously invest in a Black-Scholes market and to buy life insurance or annuities. We solve the optimal consumption, investment and life insurance problem when the...

We calculate reserves regarding expected policy holder behavior. The behavior is modeled to occur incidentally similarly to insurance risk. The focus is on multi-state modeling of insurance risk, e.g. in a disability model, and of behavioral risk, e.g. in a premium payment — free policy —...

This paper develops a continuous-time Markov model for utility optimization for households. The household optimizes expected future utility from consumption by controlling consumption, investments and purchase of life insurance on each person in the household. The optimal controls are...

Under the Solvency II regime, life insurance companies are asked to derive their solvency capital requirements from the full loss distributions over the coming year. Since the industry is currently far from being endowed with sufficient computational capacities to fully simulate these...