Variable life annuity

In the first chapter, the thesis contains a description of variable annuity and description of four basic guarantees: guaranteed minimum death benefit, guaranteed minimum accumulation benefit, guaranteed minimum income bene- fit and guaranteed minimum withdrawal benefit. For each of these guarantees, there is a description of principle of the benefit, assumptions of payment, amount of payment and a difference from a product without such guarantee, thus a net benefit from the guarantee. In the second chapter, with additional assumptions, there are deductions of expected values of benefits from the described guaran- tees and numerical calculation of these expected values for both genders, various entering ages and various investment variables.