Description: In this article the author presents a general solution to the problem of finding the effective annual interest rate commonly arising in finance for an installment loan.

Description: The zeta distribution with regression parameters has been rarely used in statistics because of the difficulty of estimating the parameters by traditional maximum likelihood. This is the abstract of a paper that proposes an alternative method for estimating the parameters based on an iteratively reweighted least-squares algorithm.

Description: The birthday rule is used to determine whether the father's or the mother's insurer is liable for a child's medical bills, where the liability rests with the insurer of the parent whose birthday falls in the first half of the year. It is assumed that the odds are even that the liable insurer will be the mother's, vs. the father's. This paper demonstrates how the key determinant of whether this assumption is valid is the distribution of the difference in spouses' ages.

Description: This article investigates the properties of the Gompertz distribution function. Explicit formulas for continuous life insurances and annuities are given in terms of the left-truncated gamma function. Moreover, approximations for the mean, variance, skewness and kurtosis of the Gompertz distribution are also given. Finally, the article shows that using a Gompertz assumption at fractional ages produces better a approximation than the usual UDD assumption.

Description: This paper shows the mortality element can be partially isolated allowing an exact annuity value to be readily obtained at any interest rate. From the Actuarial Research Clearing House 1979, Vol.2.

Description: An overview of bias and fairness in machine learning models, as they apply to use cases in life insurance.

Description: The American Academy of Actuaries and the Society of Actuaries have joined resources to maintain this Economic Scenario Generators Excel Workbook tool for use in regulatory reserve and capital calculations. Please see the SOA website research pages for further information on this tool and how to use it.

Description: This paper investigates how the concepts of asset-liability matching can be used to shape investment strategy. From Transactions of Society of Actuaries 1980, Vol. 32.

Description: A simplified model adapts very easily to simulation by a computer, and this is what the author has done with several selected pairs of probability distributions in order to calculate the probability of a casualty company's being ruined shortly after its establishment. From Transactions of Society of Actuaries 1969, Vol. 21, Pt. 1, No. 61.

Description: The discount rate is one of the most critical topics in IFRS 17 and may have important repercussions on product profitability. The presenters will cover practical implementation considerations, including alternative approaches to illiquidity premium calculation for business supported by fixed assets with credit risks. Other implementation considerations will also be covered, including granularity of setting the discount rate, application to new business, and implications on asset and liability modeling. The presenters will then discuss how discount rates could be utilized in an Economic Scenario Generator (ESG) to assist IFRS17 calculations, particularly for risk-neutral valuation of the time value of options and guarantees.