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Attachment 1 <br />CONTRACT AMENIDMENT COST ANALYSIS - VAWATION BASIS: Tune 30, 2006 <br />SAFETY FIRE PLAN FOR CITY OF PLEASANTON <br />Employer Number. 327 <br />Benefit DetcNptlon: Sectlon 2154x, Pr+e-Retlrarnent OptlonN Settlement Z iDaatl~ fteneflt <br />Actuarial Cost Estimates in General <br />What will this amendment cost? Unfortunatey, there is no simple answer. There are two major reasons for the <br />complexity of the answer: <br />Flrst, ail actuarial pkuladons, induding the ones in this cost estimate are based on a lot of assumptions <br />about the future - demographk assumptions about ti~ percentage of your employees that will terminate, <br />die, become disabled, and refire in each future year, and economk assumptions about what salary <br />increases each employee receives and the most important assumption: what the assets at Ca1PER5 will <br />earn for each year into the future until the last dollar is paid tp current members of your plan. While <br />CaIPIRS has set these assumptions as our best estimate of the real future of your plan, it must be <br />understood that these assumptions are very krrg term predictors and will surey not be realized each year <br />as we go fonnrard. For example, the asset earnings for the past 15 years at CaIPERS have ranged from <br />-7.296 to 20.196, yet the 15 year compound velum has been 10.096, well above our assumption. <br />^ Second, the very nature of actuarial funding produces the answer bo the question of amendment cost as <br />the sum of two separate pieces: <br />i. The increase in Nomwl Cost (f.e., the increase in future annual premiums in the absence of <br />surplus or unfunded liability) expressed as a percentage of total active payroll, and <br />2. The increase in Past Service Cost (i.e., Aarued Uablllty -representing the current value of the <br />Increased benefit for all past servke of current members) which is expressed as a lump sum tidier <br />amourrt. <br />The cost is the sum of a pecent of future pay and a lump sum dollar amount (the sum of an apple and an <br />orange if you will). To communkabe the total cost, either the Increase In Normal Cost (i.e., future percent <br />of payroll) must be converted bo a lump sum tidier amount (in which case the resuR is called the increase <br />in the present value of benefits), or fire Past Servke Cost (i.e., the lump sum) must be converted bo a <br />percent of payroll (in whkh case die result is the inaease in the employer's rate). Converting the Past <br />Service Cost lump sum bo a percent of payroll requires a spedfic amortization period. So, the new <br />employer rate can be computed in many different ways depending on how long one will take to pay for it. <br />And dont forget the first bullet point above; all of these results depend on all of the assumptions being <br />exadiy realized. <br />Rato Volatility <br />As is stated above, the cost estimates supplied in this communication are based on a number of assumptions about <br />very long term demographk and economk behavior. Even if these assumptions are exadiy realized (terminations, <br />deaths, disabilitles, retlrements, salary growth, and investment return) there will be differences on a year m year <br />basis. This year to year difference between actual experience and the assumptions is called gains and lenses and <br />serve bo raise or knnrer the employers rates from year to year. So, ti~ rates will bounce around, espedaly due to the <br />ups and downs of irnestment returns. <br />The volatility in annual employer rates may be affeded by this amendment. The reason is that higher benefits and <br />earlier retlrement ages require the aaumulation of more assets per member earlier in their career. Rabe volatility <br />can be measured by the raft of plan assets to active member payroll. Higher asset to payrdl ratios produce more <br />volatile employer rates. To see this, consider two plans, one with assets that are 4 times adaive member payrdl, and <br />the other with assets that are 8 rimes active member payroN. In a given year, see what happens when assets rise or <br />faN 1096 above or below the actuarial assumption. For the plan with a ratio of 4, this 10 percent gain or loss in <br />assets is the same in dollars as 4096 of payroll; and for the plan with a ratio of 8, this is equivalent bo 8096 of payrol. <br />If this gain or loss is spread over 20 years (and we oversimplify try ignoring interest on the gain or loss), then the <br />first plan's rate changes by 296 of pay while the second plan's rate changes by 496 of pay. <br />November 16, 2007 ~ i <br />