Understanding of deeper problems in life insurance mathematics.

• General life insurance model
• Markov chains with countable state space, Chapman-Kolmogorov equation, forward and backward equations
• Thiele's differential equation for the prospective reserve
• Examples from practice (guaranteed annuities,
  stochastic interest rates, health insurance)
• Value process and Hattendorff's theorem
• Unit-linked contracts in the framework of a financial markets model, Black-Scholes formula
• Life insurance with stochastic interest rates
• Premium calculation principles