Description: This paper thoroughly describes risk premium calculation based on an insurance portfolio consisting of policies risks insured over a finite time interval.

Description: In this note, we rearrange the statement and the proof of a theorem in Greville. The presentation appears to be more compact the materials, however, are not new.].

Description: The installment fractional premium scheme, although not practical for actual use, has some interesting theoretical properties. Jordan states, on page 88 of 'Life Contingencies', 'For example, if the insured dies after paying one quarterly premium for the current year, the three unpaid installments for the balance of the year are deducted from the policy proceeds.' This paper discusses the effects of adjusting the unpaid installments for interest.

Description: This paper discusses the marketing implications of the baby boom generation and the aging of the Canadian population in general. From the Actuarial Research Clearing House 1991, Vol.1.

Description: The article provides a complete and rigorous analysis based on calculus for the topics in the theory of compound interest: the monotone convergence properties of the rates of interest and discount payable m times per interest conversion period in relation to the force of interest, the monotone convergence properties of the present value and accumulated value of an ordinary annuity with m payments per interest conversion period in relation to those of a continuously paying ordinary annuity and a method for approximating the present value of an ordinary annuity, or an increasing annuity with m payments per interest conversion period, by accumulating, at compound interest for the fraction m - l/2m of an interest conversion period, the present value of the same type of annuity with one payment per interest conversion period.

Description: View the 2019.1 Actuarial Research Conference Proceedings.

Description: This 1993 paper examined the premium rate changes that could have resulted from the passage of The Health Insurance Reform and Cost Control Act of 1991. From Actuarial Research Clearing House 1993, VOL. 3.

Description: This paper introduces a new direction for evaluating numerically survival probabilities pointed out by H. Seal in his book ‘Survival Probabilities: The goal of Risk Theory’. Some of special cases can be considered as a weighted Poisson process with an infinitely divisible mixing distribution. This property is well known for the negative binomial case [gamma mixing distribution].

Description: This paper solves the pension benefit allocation problem using an extremely simple accounting approach. It presents a simple accounting argument, which says that the cost for like units of production should increase at the rate of inflation. If we assume that the appropriate units of production for an employee are inflation-adjusted salary, this rationale leads to projected unit credit with the benefit apportioned by interest-adjusted salary [PUCIAS] as the appropriate funding method for pensions. This same rationale can be extended to post-service medical care funding. For post-service medical care, however, the rationale does not lead to PUCIAS, since the rates of inflation for medical care and salary do not cancel. There is also a question whether inflation-adjusted salary should be used as the units of production for post-service medical care. When it is, it is still important avoid aggregating groups with different salary and promotion patterns. When it is not, the widget accounting arguments still hold as far unit costs increasing with the rate of medical care inflation.

Description: In this expository paper several comments are made with respect to the statistical independence of the curtate future lifetime and the fractional part of the future lifetime, both of a general status. In particular, the conditions for independence need to be stated carefully. The last-survivor status is cited as an example. More general assumptions than the uniform distribution of deaths assumption are then considered, together with applications to insurances, annuities, and reserves. Similar results to those under the uniform distribution of deaths assumption are obtained. Brief comments are made with respect to contingent probabilities in multiple lives and multiple decrement theory.