This master thesis aims to describe problematics of the stochastic modeling of time structures of interest rates with Vasicek, CIR and Hull-White models and the use of these models in valuation of liabilities and time value of options and guaranties in life insurance. In the theoretical part of the thesis there are fundamentals of stochastic calculus, stochastic models of interest rates and introduction to problematics of life insurance defined. Furthermore, the last practical part of the thesis demonstrates impact of particular models on the value of liabilities in relation to clients and on the value of TVOG of real European life insurance Company
