Description: We derive formulas for calculating the premiums that should be charged on policies in a discounted cash flow model with tax reserves and required assets that are determined by regulation. We also determine the unique division of required assets into “reserves” and “capital” that allows the product profitability to be correctly evaluated. That is, the profit after capital charges is zero if the product achieves the return assumed in pricing. We illustrate the concepts using whole life insurance and guaranteed minimum death benefit examples.

Description: This paper presents a proof on the subject of uniqueness of interest rates in a borrowing/lending model for possible student use in undergraduate classes in the theory of interest. From Actuarial Research Clearing House 1993, VOL. 3.

Description: This report looks at closed form models or 'exact solutions' in which calculus produces 'simple' formulae. The conclusion is that for Gaussian interest rate models we can solve the problem of an American option provided the option holder behaviour can be described by a force of option exercise which is linear or quadratic in the state variables.