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<br />JOHN M. CRIDER, JR. <br /> <br />CONSULTING ACTUARY <br />1701 GATEWAY BOULEVARD, SUITE 461 <br />RICHARDSON, TEXAS 75080-3627 <br /> <br />P.O. Box 832066 <br />RICHAROSON, TEXAS 75083-2066 <br /> <br />TELEPHONE 97a-690-5390 <br />FAX 972-690-5398 <br /> <br />January 6, 2006 <br /> <br />Mr. Gene Anderson <br />Director of Finance <br />City of Paris, Texas <br />P.O. Box 9037 <br />Paris, Texas 75461-9037 <br /> <br />Re: Actuarial Terminology <br /> <br />Dear Gene: <br /> <br />Following up our conversation, this letter discusses the terms "actuarial accrued liability," and <br />"unfunded actuarial accrued liability. .. <br /> <br />Although these terms have been used in actuarial valuation reports for many years, they are not well- <br />understood by the general public or by the press. There are even individuals responsible for the <br />administration of pension plans who do not understand these terms. <br /> <br />It is important to distinguish between actuarial accrued liability and the present value of accrued <br />benefits. As participants accumulate benefits under a pension plan, the plan incurs a financial <br />responsibility. The lump sum value of benefits earned as of a given date is referred to as the "present <br />value of accrued benefits." As a general rule, the actuarial cost methods in use today produce trust <br />fund growth which is faster than the growth of the present value of accrued benefits. The discussion <br />on page three of this letter covers exceptions to this rule. <br /> <br />As an example, consider a participant who, during a given year, accumulates a monthly benefit of <br />$100. Under representative actuarial assumptions. the present value of this benefit for a participant, <br />currently age 25. is $425. For a participant age 60, however, the present value of $100 per month is <br />$6,792, a much larger figure. If a plan bases its annual contributions on the value of benefits earned <br />during the year. the cost of the plan can escalate significantly as the covered group ages. For this <br />reason, both private-sector plans and plans which cover employees of goverIli.llental entities are <br />required to use actuarial cost methods that produce annual costs which are more level. <br /> <br />r - . <br />