Valuation Techniques of Life Insurance Liabilities: Valuation Techniques and Formula Derivation

The intention of this work is to contribute to the current actuarial discussion about valuation of life insurance liabilities with a summary of current most frequent valuation methodologies. It started with the most traditional one (called ?Statutory Valuation Approach?) still usually required by the local regulations, continued through the more developed ones (deterministic Embedded Value approach and deterministic estimation of the Fair Value) to the most recent one ? stochastic Fair Value approach via interest rates simulations. It is intended to give a more detailed overview of the methodologies not only in a way of a general description but in a way of specific mathematical formulas and numerical examples as well in order to observe their mutual relations and similarities, their positives and negatives. The real process of the stochastic liability fair value calculation under the interest rate simulations is showed at the second part of the work. The work includes an explanation of all important issues, steps and results.