Description: This presentation shows that, if the options or guarantees are exercisable only at the moment of death of the policyholder, the mathematics simplifies to an elementary calculus exercise.

Description: In this paper, the coefficients of the minimum-Rz moving-weighted-average formulas are derived using matrix algebra and the method of Lagrange multipliers. Reviewer's note: This mathematics can be useful in the graduation process of mortality and morbidity table construction

Description: Reports generally display tables of data broken down by many variables. This paper presents a variation of the Whittaker-Henderson graduation method that may be used to graduate such multidimensional data. Followed by several discussion papers submitted

Description: Presents some elementary and down-to-earth calculations for the optimal dividend strategy that maximizes the expectation of the discounted dividends until the possible ruin of a company.

Description: This note is motivated by Section 7.4 of Actuarial Mathematics. Consider two different fully-discrete policies issued to x, each for a unit of life insurance during the first h years. Here, h is less than or equal to the shorter of the two premium-payment periods.

Description: This paper is a proof of a conjecture that appeared in a letter to the Editor of The Actuary. From the Actuarial Research Clearing House 1991 Vol.

Description: This paper shows that the Esscher transform is also an efficient technique for valuing derivative securities if the logarithms of the prices of the primitive securities are governed by certain stochastic processes with stationary and independent increments. Two applications are presented, the first for valuing a European call option and the second for pricing derivative securities of multiple risky assets.

Description: In writing this note on the relationship between total return, duration and convexity, it was author's intent to produce a better understanding of Redington's theory of immunization. From Actuarial Research Clearing House 1991, VOL. 2.

Description: This is a study note that supplements material contained in the book, 'Actuarial Mathematics,' 2nd edition, by N. L. Bowers, Jr., H.U. Gerber, J.C. Hickman, D.A. Jones and C.J. Nesbitt. The topics covered include integer functions, uniform distribution of deaths throughout each year of age, and annuity coefficients.

Description: The following problem is from the 1968 Society of Actuaries Part 4 Examination on Life Contingencies. It is an instructive problem because it interweaves joint-life functions with single-life reserves.