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On Some Actuarial Inequalities - Actuarial Note
an immediate life annuity of 1 payable at age x is less than the value of an annuity-certain payable for ... courts). It should also be noted that, given a mortality table, any inequality shown (unless otherwise indicated) ...- Authors: Hans U Gerber, Donald A Jones, Harry M Sarason, John A Schutz, Arnold Shapiro, Gary E Olson
- Date: Oct 1975
- Competency: Technical Skills & Analytical Problem Solving>Process and technique refinement
- Publication Name: Transactions of the SOA
- Topics: Modeling & Statistical Methods
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Cost of Vesting in Private Pension Plans
sizes that the cost depends upon interest, mortality, withdrawal rates, entry age, salary scales, ... essentially indepen- dent of (4) interest, (5) mortality, (6) the rates of employee withdrawal before ...- Authors: Donald S Grubbs, Claude Y Paquin, Harry S Purnell, Arnold Shapiro, Paulette Tino, Howard E Winklevoss, Charles L. Trowbridge
- Date: Oct 1972
- Competency: External Forces & Industry Knowledge
- Publication Name: Transactions of the SOA
- Topics: Actuarial Profession>Competencies; Pensions & Retirement>Assumptions and methods
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A Bayesian Approach to Persistency in the Projection of Retirement Costs
having no a priori knowledge whatever regarding mortality.-- E. T. WmTXAKER INTRODUCTION p ENSION actuaries ... pension costs. Stone 7 investigated the impact of mortality fluctuations on pensions paid to pensioners. The ...- Authors: Arnold Shapiro
- Date: Oct 1979
- Competency: Technical Skills & Analytical Problem Solving>Process and technique refinement
- Publication Name: Transactions of the SOA
- Topics: Pensions & Retirement>Assumptions and methods
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Modified Cost Methods for Small Pension Plans
criteria to be met. Possible criteria are given in Table 1. Adequacy The first consideration is adequacy ... present value of accrued benefits at that time TABLE I CRITERIA FOR CHOOSING AN ACTUARIAL COST METHOD ...- Authors: Arnold Shapiro
- Date: Oct 1983
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Transactions of the SOA
- Topics: Pensions & Retirement>Assumptions and methods
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Estimating the Cost of Vesting in Pension Plans
_< r; s = Age at which a vested terminated employee becomes separated from employment, z < s < r ' ... entered at age a, terminated at age s, and is in a preretirement status (s < x < r) is ,_,g, ,_aS~ r - ...- Authors: Arnold Shapiro, Howard E Winklevoss
- Date: Oct 1972
- Competency: External Forces & Industry Knowledge
- Publication Name: Transactions of the SOA
- Topics: Actuarial Profession>Competencies; Pensions & Retirement>Assumptions and methods
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Modeling Flexible Benefit Selection
44 MODELING FLEXIBLE BENEFIT SELECTION CHARLES S. FUHRER AND ARNOLD F. SHAPIRO ABSTRACT A mathematical ... become popular only in the last 5 or 10 years in the U.S. Of course, trivially, most plans have always allowed ...- Authors: Charles S Fuhrer, Arnold Shapiro
- Date: Oct 1992
- Competency: Technical Skills & Analytical Problem Solving
- Publication Name: Transactions of the SOA
- Topics: Pensions & Retirement>Assumptions and methods; Pensions & Retirement>Pension finance