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ACTUARL% VALUATION AS OF
FEBR64HY 1, 1970
OF THE FIREMEN'S PENSION FUND FOR TliF
CITY OF DENTONO TEXAS
APRIL 7, 197b
.I
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4
7
. FIRFM-NIS RELIEF AND RETneeNT FUND
^ITY OF DENTON TEXAS
Actuarial Valuation as of February 1, 1970
Table of Contents
Palle
1► Introductory I.otter 1
2, Description of Table A and Graph A....3
3. Descriptirn of Tables 1 thrc,rgh 14.... I.......►......... 0 4
he Factors Which Affect Cost of Pension Fluid................►►.............. 4
5. Table A and Graph A Showing Retirement Benefits as a
Percent of Final Pay.... 0 0 0 6 1 a a 0 4 0 0 0 0 9 4 6 0 1 0 6 0 a a a a 0 a 4 0 0 0 M a 0 0 0 0 6 0 0 0 a a 0 , 0
•
6. Table 1 - Cost Data fr, Present Plan at ?
696lnterest 9
Table 2 - Coat Data rk, Plan A at 6% Interest., 10
8. Table 3 - Cost Data fcr Plan B at 6 Yntereet.
9. Table 4 - Cost Data for Plan C at 6% Interest,,....'~~~~~~ 11
10. Table 5 - Cost Data for Plan D at N
6% Intereet
11. Table 6 - Cost Data for Plan E at l
12. Table 7 - Cost Data for Plan D at Interest.......).. 1 15
13. Table 8 - Cost Data for Plan D at 9 Different Sets of
Interest and Salary Scale Assumptions ...t........~... 16
14. Table 9 - Cost Data for Ages at Hire 18 through
15. Table 10 - Forecast of Benefit Payout for NNetFive ~~Yeare 17
18
*l6. Table 11 Schedule of Contributions and P.enefits Paid,..,..,..,,,,.,.., 19
17. Table 12 - Number of Active Members and Beneficiaries Since
1955 20
18. Table 13 - Distribution of Yembers by Age and Length of
Se i r yce d i . a 1 . . 21
19, Table 14 - Distribution of Members by Length of Service 22
20. Retirement Benefits for Each 'of 44 Active Firemen for Plan D
a Retirement Age 550 60 .4 1 0 0 0 0 0 0 0 0 .0 .0 0 0 ..0 4 ►.1.0 ..0 23
b Retirement Age 60# a 25
c Retirement Age 65...0 6 1 9 0 4 6 a 0 a 0 a 0 0 0 9 0 a a 0 0 a 0 * 0 0 & a 0 0 0 a 0 6 0 a 1 0 4 a 0 0 6 & 0 0 27
211 Social Security Benefits fur Each of 44 Active Firemen
for Retirement at Age 65...11 0 6 0 .6 0 10 0 0 0 0 6 ..6 .0 ..I.6 4 .0 0 .9 0 0 ►0 .0 .1 0 29
22. Brief Outline of Social Security Benefits Under Sooial
Security Law as in Effect on February 1l 197023. The Effect& of Increasing Interest Yields on Pension•NrAs...,00690a9a0a9 33
2 ► Tabulation of Reserves for Individuals Receiving Benefits
256 Actuarial Assumptions Used in Vaiuatione 40
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!77777, ~777 7
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PALLAS.ICXAS carol THE ~eL(` COMPANY
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OII TIeST LITY NATIONAL BANK SLOG. ACrUAnICS AND EMFLOYtt eEMtrIT CVNSULTANTS
HOHaTON•19AA11 t700a
CAHIfOL 4.ROOS April 7, 1970
71Y IONI CHICAGO MIAMI
WOnr" NATIONAL "ANN OLDO CLEVELAND NCW TORN
TORE WOntH•TCAAS Te102 DALLAS PHILADELPHIA
t OISON e-e9e6 OLtR011 SAN rRANCISCO
f-- TOOT WI)ATH WASHINGTON
HONOLULU
,'LEASE RtJLY TO Dallas HOUSTON OTTAWA
LOS ANGELES TORONTO
Board of Trustees
Firemen's Relief and Retirement Fund
City of Denton
Denton, Texas
Oentleuen:
Actuarial Valuation of the Firemen's Pension
Fund for the City of Denton as of February 1 1970
This report presents the results of an actuarial valuation of the
various benefits which were requested to be valued by the firemen of the City
of Denton, Texas, The most a►asningful way to illustrate the various benefits
and their costs is to show alternative retirement plans providing various com-
binations of benefits at several retirement ages and retirement plan costs based
on different interest rates. Thua, several plans have been presented in this re-
port for consideration by the City and the firemen,
Tvrj of the plans permit retirement at age 50. All of the plena permit
a fireman to terminate his service after 20 years of service, cease his contribu-
tions to the fund and commence to receive $150 per month at age 55 provided he did
not withdraw his contributions upon his termination of service. All of the plans
provide for increased benefits to widows and children and, of course, provide in-
creased retirement benefits to firemen.
Since emphasis was placed on increasing retirement benefits to firemen,
the disability benefits would be continued unchanged, In this connection, it
should be noted that since the firemen are covered by social security, they are
entitled to social security disability benefits should they become disabled, Ellen
though the disability benefits under the firemen's pension fund continue unchanged,
disability benefits from the two sources are quite good, For example, a typical
disabled fireman could expect currently to receive at least $300 monthly from both
his firemen's pension fund and from social security,
The Denton firemen are covered by social security and information is in-
cluded in this rep',rt on their social security benefits so that a complete picture
on their death, disability, and retirement benefits is presented to the firemen and
their dependents.
Twenty actuarira, valual,ions were performed to complete this report, The
City of Denton has been a ispidly growing commsnity in the past and if present
economic indicators are correct, will continue to grow at a rapid pace in the
Page 2
future. This report van prepared to assist the City in adopting the correct,
plan to best meet its needs for the future. We urderstand that the rapid growth
of Denton will make I. necessary to hire at least 20 firemen within the next
five years. This is an increase in the present force by approximately 50%.
For these reasons, we have prepared a comprehensive report to enable the City
of Denton and its firemen to adopt an appropriate retirement plan to be uses'
as one of the tools tc build a fire department which will meet the needs o,
the future.
An actuarial valuation at intervals of three or five years will provide
effectsrof oity theroactuarial assumptions in order that the Boded dof Trustees may the
whatever action is necessary to maintain the fund on a soun3 actuarial basis, to
improve benefits where desired to meet the needs of the Denton firemen and to insure
that the firemen will be able to retire on the benefits that they expect and which
are specified by the retirement plan.
ncerely,
J L. rockett, Actuary
ell f the Society of Actuaries
Member of the American Academy of Actuaries
• JLB:kf
Enos.
,l"',P7t a..~'DESCRIPTION OF TABLE A AND GRApH A -'777777= 7777-7,
Table A shows the results of tabulating retirement benefits for each
of the 44 active firemen of Denton, Texas and
benefits by the total estimated final dividing the
reference P for these 44 fireme egFor "ampie,
may be made to the amount of 10 l0.bz in col of Table A.
We arrived at this 10.4% as follows: umn (8) of Line 1
For the present plan we computed
by total retirement benefits under the present lan which Wouldrbeic d means Of at age 65 if all of the 44 active firemen Vera to retire at
computer the
protected the current sal Paid commencing
by means of electronic computer, aeaach ou the 44 active firemenato5their then
arrive at a total final p he celery for each of the 44 men to
went benefits b pry for the entire force. By dividing the total retire-
the amount of 10,4z as the total al arrived ataggregate final pay for all of the 44 activu firemen,
at.
this It should be noted that social security benefits were not included in
computation, However, as a rule of thumb
65 are approximately 30% of pay at that social security benefits at age
benefits for firemen, including social se;curiterefore, to arrive at total
in Column (8) of Table A. For ex,vm le if Y' 30% Would be added to the
, Percent
Column (8), Line 5 P 30% is added to 403
security as e ' (Plan D) then the total retirement benefit includishown in
ug social
percentage of final pay is 70.32, Such s retirement benefit is
an excellert benefit.
A review of Table A shows the various advantages of each plan. For
example, it it were considered absolute
age to age 50, there is a choice of two Plneees Plan to lower the retirement
costs 10% of pay while Plan E coats 1,3x o of anc, payPlan A'nnd Plan E~ Plan A
,
If it were the objective to Maximise retirement benefits for retirement
at ages 60 and higher with no increase in contributions by the firemen and the Cit
then Plan C would be the plan to adopt,.
Yl
If it were considered desirable to increase contributions from the
present 10% of pay to a higher amount, then the choice of plans is between P1
and Plea E. Plan D costs 12% of
pay 'end P1. .n E costs 13% of pay'
Graph A supplements the information providy a A. The in Table A were graphed as a means of further Illustrating Ttheadiffe entpleve1s
percentages
of benefits provided by the various plans,
It should be noted that either Plan A, B, or 0 m be
adopted in contributions to the Nnd, However, both Plan D and Eouldwrequire
increased contributions to the fund.
qty P
{ f 3P1,'. i r i •'i ~f.Y ~ "1 rat, W \ r4.. t 0
DESCRIM. ON OF TABLES
The detailed results of the actuarial valuations are shorn in Tables 1
through 7 of the report. The costs shorn on Tables 1 through 6 are based upon
actuarial asa ueptiona which we believe are realistic. The costs on these tables are
based upon the asaucption that the retirement fund assets will earn 6% per annum and
that future salaries will increase 4% annually.
Table 7 shows the results for Plan D if the retirement fund assets were to
yield 8% per annum instead of 6% per annum, As this table demonstrates, the ultimate
level at which benefits can be provided to the Denton Firemen probably depend more
upon the yield on pension fund assets than on any other factor which is involved.
Table 8 shows retirement plan costs for Plan D for 9 different combinations
of possible future yield on Ruid assets and future annual increase in firemen's
salaries. As demonstrated in this table, there are several combinations which will
maintain the retirement program on a sound financial basis; however, there are a few
combinations which would pl-.ce the retirement program on an unsound basis based on
aggregate contribution of 12% of payroll by the firemen and the city.
Table 9 shows retirement plan costs for Plan D for various entry ages as a
percentage of payroll assuming interest at 6%, It should be noted that all of the
percentages shorn on Table 9 are below 14 of payroll, therefore, a gain to the fund
occurs as new firemen are added to the force,
In connection with Table 9, we believe that many of the firemen hired at
ages 18 through approximately 23 viii terminate their service prior to, the completion
of 20 years of service; and, thus, contributions made to the fund by the city and
interest earnings on these city contributions and on the employees contributions
will result in gains to the fund when these firemen terminate their employment, since
such contributions and earnings remain in the fund,
Table 10 gives the forecast of benefits to be paid for the next five years,
This table was prepared on a basia of a number of assumptions which we consider
appropriate, However,it should be realized that an untimely death or disability
among active firemen may increr.ae the payout somewhat above tdiat is illustrated and
also an untimely death among individuals receiving benefits may decrease the actual
payout from that which is illustrated,
Table 11 shows contributions to and disbursements from the pension fund,
Table 12 gives a record of the number of active members and beneficiaries
since 1955.
Table 13 shows the distribution of active firemen by age and length of
service and Table lb shown the distribution of active firemen by length of service,
FACTORS WHICH AFFECT COST OF PENSION FUND
There are several factors :►Frich affect the contribution rate no;cessary to
properly fund the benefits, and these fhatore a--y discussed in the following
paragraphes
i
rhi cournxv.__.._..
t. is ' r i... , . t .
5 ,
a. Effect of the Ave A at Hirer
The age at hire under Plan D (for ex&mple) is not an important factor
as is the case under the present retirement program for the Denton
Firemen. The enclosed Table 9 shows that the age at hi
extended to age 35 without Jeopardizing the re could be
retirement fund. The
reason for this is that retirement benefits under the Plan D are
not relatively flat for every possible retirement age but instead
inerea^e sharply as the retirement age inc rea
age -
Saying it in other worda, under the Plan D thesesbenefitstowardavail65.
ablo at each possible retirement age are approximately, equivalent
with those available at other retirement ages.
Of more importance, newly hired firemen will result in a
to
the fluid due to their relativsly low pension cost. This will
probably be a significant factor in the future.
be Effect of Average Age at Retirement:
The average age at retirement is of no concern under the proposed
plans. This was briefly discussed above and is clearly demonstrated
on Tables 2 through 7 which show coats at three (or four) retirement
ages, Tho plans are actuarially sound at every possible retirement
age,
as Effect of Interest, Earni on Treat Fund=
The rate of interest earned on the trust fund has a very substanti
effect on the cost of the retirement fi'!n as illustrated in the en.
closed Table 8. Pbr example, if the retirement fund were to earn
% per annum over a long period of years and nature salaries increased
at an average rate of bib per annump then the long-term
is 9.9% which is significantly less than 11e2% of payr'oll' he Plan D
pated rate for the new plane Obviously$ if this ' the he fut -
actual experience, substantial liberalisation in benefits wouldbe pin e
into effect,
ds Effect of Re uirements of Permanent Disabilit t
Inform4tion which we have obtained indicates that the retirement fund
has experienced no off-duty or on-duty disability retirements within the
past ten yearas While the amount of experience is too smell to draw
any conclusions concerning the long-term costs, there is an indication
that disability coats may be love Benefits can be improved in !ne
future if this excellent experience continues.
e. Effect of Mortality Bates= E
9'he rates of mortality assumed in the actuarial valuation would have some
effect on the cost to the extent that actual a+ortality experienced
realized over a period of years is different from the mortality which
we have assumed. However, it is highly unlikely that any variation in
the actual mortality from that which Xe have anticipated in the future
will have a substantial effect on the costs shown in this reports During
the past ten years there have been no deaths amcag active firemen.
._..._t►it uoxrwr
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6.
f. Effect of Termination Rate:
The termination rates adopted for the actuarial valuation ar* relatively
low and are considered appropriate for the Denton Firemen. Ic is ex.
pected that actual turnover will affect pension costs by a small amount,
g. Effect o Salary Increases for Active Firemeni
The average manual salary of the active firemen included in the February
1, 197o valuation is $69996. Costs are based on salary increases which
occur under normal conditions with the assumption that increase in cost
resulting from salary increases in excess of that assumed will be offset
by interest earnings in excess of that assumed. To illustrate the effect
of increases in the average annual salary when related to interest
earnings on the pension fund, the enclosed Table 8 was prepared.
h. Effect of Remarriage of Widower
Widow's benifita cease upon remarriage of the widow &A the likelihood
of this event occurring is taken into acccunt in order to determine
realistic costs for death of firemen. The likelihood of a widow re-
marrying at the older ages is nil but studies show that the probkbility
of remarriage at the younger ape (29 through 40) is quite highs As
shown in the section which outlines the actuarial assumptions used,
remarriage rates are taken from The 1962 Railroad Retirement Board
Female Mortality and Remarriage Tables.
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77
T
Table A
3EM MUFF AND RETIREMENT F!JND OF DENTON. TEXAS
• Chart Shoving Contribution Rate and Retirement Benefit (Based Upon Estimated Final Pay)
As a Percentage of Estimated Final Pay for 44 Active Firemen Included in Actuarial Valuation
Contribution
Rate as Retirement Benefit as a Percent of Pay Based
Percent of on all 44 Firemen Retiring at Four Retirement Ages as Shown Below
Pay Retirement W eti,1ement Age Retirement Age Retirement Age Important Features
P(1) City Fir3 n T14T ~_0 6 of glans
1. Present Plan '5% 5% 10$ Not Available 12.7% 1148° 10.4% The Present Plan being a "flat-benefit plan" pro-
vides declining benefits as a percent of salary as
firemen receive salary increases.
2. Plan A (See Table 2 Plan A permits retirement at age 50 but provides
Page 10 for Description relatively smaller benefits as a percent of pay at
of Plu A) 5% 5% ?.O~ 15.4% 14.2% 12.9% 11.7% the older ages.
3• Plan B (See Table 3 Plan B provides relatively Larger benefits as a
Page 11 for Description percent of pay at age 55 but relatively smaller
of Plan B) 5% 5% 100 Not Available 1800% 16.1% 1403% benefits at age 65,
49 Plan 0 (Bee Table 4 Plan C provides relatively smaller benefits as a
Page 12 for Description percent of pay at age 55 but relatively larger
of Plan 0) 5% 5% 10% Not Available 15.7% 16.0 1548% benefits at age 65.
5. Plan D (See Table 5 Plan D coats 12% of pays is a "firAl-pay plan" W
Page 13 r Description provides Overage benefits at age 55 but excellent
of Plan D 6% 6% 12% Not Available 15.6% 20.5, 4093% benefits at ages 60 and 65.
6. Plan 8 (bee Table 6 Plan'g costs 13% of pay, is a "finalrpsy plan"s
Page 14 for DesoAption permits retirement at age 50 and provides excellent
of Plan 6 6h% 13% 15.3% 20ol% 27.0°1 4005% benefits at an retirement ages-
Notet The above percentages apply only to retirement benefits provided by the Fireman's Relief and Retirement Fund of Denton, Texas. Social SwAirity
Benefits are not included.
Howaver, the Denton Firemen do participate in Social Security end ~O~ may be addee.to the above percentages at a b to account for'the Primary Insurance
Amount they
will likaVi receive under Social Security,
The Present Plan and Plans As Bp and C are "flat-benefit plans". Plane D and E are "final-pay plans". For 1 description of these plans, reference
may be made to the
upper portion of Cost Tables 1 through 6.
THt WqWW ° OOVraur -
a:...A1. "r• 4: '.1k.w'; .'1' d.U. ,1_ MMj
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_ Graph A Pa 8
Graph A
FIREMEN'S RELIEF AND RETIREMENT FUND OF DENTON. TEXAS
Graph Showing Retirement Benefit (Based Upon Estimated Final Pay) ae_a Percentage of Estimated Final Pap for 44 Active Firemen Included in Actuarial Valuation
♦ I
Percentage 40% ~ ~ ji, •'T ~ } ,f rrj ~ ; I' ~
I 1
j i } t
1 + f . 1 . } ♦ 1- '1-' r -L 1 . 1-1- 1.
} JjJ f _ t . 1 I t . 1.
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, I- f « I (l i ! :.y { 1 } j 1 + 1 1 1 { } + . 3 r 1..
35d 9 1_ is 4 } L ft'
If t 1. 1 + Y.1 }i a L{ .a 1 i ~t t ,r
< r1Z,
44 .t
+ TTIi{} 1
~fl I 1 1 ff 1A
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r
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TRi -T 4T- "t
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7 1 IT IT,
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} 4J f / ..I : 14
L L+ 11 a j 1 + j -a. 1 ~ -1 .f..+, a s .a • r. 1 1 # i 1 l { -J
}
. t. ..L. .1 r . 1 t,~. a 1 .1., {_y. : i l a. a..~. _1 r : i 1 J y y}.} i t 2,] { h J ♦ .
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♦1 ,-J ' s ,tT 1 1? ~ 1} j1 1: 1j
+ 1- r
1. • a 1 1 1~ f 4t
Retirement Age X50 55
5 -LL Notei The above percentages apply only to retirement benefits provided by the Firemen's Relief and Retirement Fv-I of
Denton, Texas. SoAikl Security benefits are not 5,rreiuded.
How,ver the Denton Firemen do participate in Social Security and 3 may be addeA to the above percentages at age 65 to accocmt for, the Primary
Insurance Amount they
pill likely reeei-w under Social Security.
THt 040 cournJ
W. t o x , r • , w
' - Interest Ratet ,Flans Present Plan
°t
CO- j%m ; .
s
meatt4 t twat Plan - Opon'retirement on or after both attaining age,.5 years an an4d ry~
....~..3rocpleting yea o ae ce~ a remap will ireceive *150 per month plug $4 per month for each
year o Be se Ce, or a maximum of 14 years of service, after either both attaining age 55 years and completing 20 years o service or completing
'S years of service, whichever is earlier.
For explanation of-disability benefits for firemen and of widow's benefits see present Firemen's Relief and Retirement Law.
1. Basic data considered In valuation:
(a Active members 44
(b Individuals receiving benefits 10
(c Total annual compensation for
active members $307,832
Summary of Retirement Plan Costs for Proposed Plan
2. Annual retirement income considered If All Active Firemen Were to Retire at Both
in valuations ttaining in ng training Attain
a Active members $ 99,076 Age 50 Years and Complet- Age 55 Years and Complet- Age 60 Years aad Complet- Age 65 Years and Complet-
b Individuals receiving benefits 8.600 in 20 ears of Service in 20 Years of Service in 20 Years of Service in 20 Years of
Service
c)) Total 107, 7a of of % of
Cost Data Cost Data *M,5832 Cost Data Cost Data $307,832
3. Normal cost for 55
a Retirement benefits for firemen ~T ^ ~w ~ 2. b .1% $ ;239 N
b Widow's benefits after retirement of firemen Retirement Age 50 2,103 20052 1 •7'% 1,710 16%
c Widow's benefits prior to retirement of firemen 2071 18% 21371 08% 20371 .8%
d Disability benefits for firemen Not Available Under Present 4694 2r770 09% 2,770 •9%
e Return of current firemen contributions pla1.2~ 4 l.2'~ 614 1.
f Total 6.3% 117;M 5.696 4.996
46 0 is actuarial deficiency for
a Retirement benefits for firemen 1480479 48.2% 111,404 36.296 67,390 21.
(b Widow's benefits after retirement of firemen 37,515 12.2% 359335 11.5 279193 8.
o Individuals i-tceiving benefits (children, widows,
and firemen) 05,118 34.1% 105,118 34.1% 105,11,8 34..1
(3 Return of accumulated firemen contributions 5.664 1:8 5,664 8" 1.
(e3 Total 6, b 960 '570521 83. 696 ~ 666
t
3. Book value of assets' as of February 1, 1970 166,800 54496 1661800 5462% 166,80o 54.2%
6. Net actuarial deficiency (4 minus 5) 129,976 h201% 90,721 29.4% 38,565 12.4%
7. Annual contribution to fund normal cost and amortize
net actuarial deficiency in 30 years from February 10 1970 28,091 901% 23,496 7.6% 17047 5.6%
8 Minimm anawa contribution (normal cost plus interest
on deficiency) 26,982 8.8% 22,721 7.4% 17,018 505%
91 A roximate actual annual contribution
a Member and City contribution (109', of annual compensation) 30,783 10.0% 30,783 1010% 30,783 10.0%
b State of Texas (wwmt in 1969) 1%49D .596 1,450 .596 1,450 .5%
(((c Total w1005' 10.5%% WIM 10.5
10. Excess of actual contribution over required contribution
(9 minus 7) 4,142 1..4% 8,737 2.996 140886 469% ,
114 Retirement income based on final pay as a percentage of
0 such final pay 12.7% 1188% 1064%
-rip OV%Vvas~
r.
yr; .Y
's MdM AxnTNr term of .rtro
_ . Tntereet Mel Pisnt A
..2. Same: ea for Presekt Plan except (1) ell bilit reseer 2 to
and 21 extra beiefY~ of r non~h'a or accruing after 2a yea a l y qui suits for the accrual.
reedent for ratireme'r4t is lowered to both attains age enceg $150 mcnth]y. Widow s etnld n a benefits would service,
and there is no maximum of 14 years of me 4 have
n8 50 yeat$ and completion of 20 years ve ra
aervice
be increased to of 1, of fireman .gut not exceed the
Disability benefits continue urschanged at
continued in "service to age 90 years and completed 20 YL±re of service. A iYreman may terminate service after 20 ytatatl discontinuetcOnt ibutionst
of death what firemah
per month at age 55, provided he Is alive at that time and he did not ur!thdraw -is contributions upon his termination of service,
ohe fund and commence to receivehe
p $150
1. Basic dsta considered in valuation.
(a Active members 44
b Individuals receiving benefits 10
C Total annual compensation for
active members $307,832
i
2. Annual retirement income considered Summary of Retirement Plan Costs for Proposed Plan
in valuation. If All Active Firemen Were to Retire at th
s Active members $1080828 A A taint
b Individuals receiving benefits 8 800 in Age 50 20 Years Years of and Complet Age 55 Years ana omplet- Age 60 Years anidgComplet- A
At slain
c Total Service i 20 Yea Age 65 Years and C
117, Years of Service 3 20 Years of Service omplet-
of o! in 20 Years of Service
3. Normal cost fbr Cost Data Coat Data Coat Data
Cost Data of
a Ri~tirement benefits for firemen St" j'-- --..~T_ 307 832
b Widow's benefits after retirement of firemen
2'~ 4.1% $~y,191. 3.0% $ 6,994 2.396
o Widow's benefits prior to retirement of firemen '8 2022 •6`% 2)218 $ 4,995 168%
d Disability benefits for firemen 2;;, Q,37~ • % 2,371 2 854
e 8sturn of current firemen contributions ,371 :
! Total
-34614 X 7.896 ~ 4 l: x614 1' 2,T?b •996
6.796 5:996 1.296
4, d s actuarial deficiency for
a Retirement benefits for firemen 19$,262 64.4
b Widow's benefits after retirement of firemen 400,551 1~5. 159,23 51.296 116,66g 37.9
o individuals receiving benefits (children, widows, X9,823 12.996 37,004 12o6% 27pgr7bg 23•
and firemen) ,52 g,
jd~ tuum of accur.alated firemen contributions 105,118 34'g 1055, 31: 105,"4 34, 96 14 ,118 34. 9L
s Total 34 %W 113:596 100.096 81,896
5• Book value of assets as of February 1 1970 , 5.896 ~ ~g.~
266,800 54.291 166,800 54.296. 1669800. 54.296 166,800 54296
6. Net actuarisl deficiency (4 minus 5) 182,795 59096 141,420 45.896
7. Annual contribution to fund normisl cost and aamortise 97P651 31.6'$ 43,210 14.~>¢
net actuarial deficiency in ,0 years from February 1, 1970 36,595 1149¢
29,960 90796 24,660 80096 :81165
80 . ' tditimm annual contribution (normal coot plus interest
an deficiency) r 350035. u.496 28s753 9.396 23,826 7.7;4 179797 54896
91 j roxis.ste actual ant+ual contributio'
a Member and City contribution (lb of snnual compensation) 30 1000%
b State of Texas (amount in 1969) 59L 31 N50 10.09< 30 783 10096
Total 50 .596 1 .59d 3~, 3 10.096
3 10.5% 3 10.5% , 1005% 09%
10. Excess of actual contribution over required contribution 10+99<
(9 lihus 7) (4,?2~1 ~ (1.496) 2,273 6896 7,573
2.5¢ 14,068 4.696
11. Fetir" ent income based on final pay es a percentage of
s•ich ti'►al pry 15.496
14.296 12.9%
r u.796 .
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.i'r
nteres , pAta at P, Zan t lan >1
~etit F1iri6aii4t' Pian >3 Bay <4e for l'resant Plan ®z~ept 1 the Aisount 'of 150. penth is increamse.. 1'sbte 3 Pane
after 20 years service arxT t' ie~re is no a~dmtao of lb per maj t~ V14 2 e xtra benefit o per
1 years of service for the accrual. Disabilit- benefits continue Unchanged at mont month benefits accruing
increased to 3 of pay of a fireman but not exceeding the fireman's pension at time of death or what a fireman xoT $150 ~3'• Widow's are! children's
benefits would
ald have received had he continued in service to age 5S years and completed
et
20 years of service. A fireman may terminate service after 20 years, discontinue contributions to the fund and commence to receive $150 per month at age
55 provided he is alive at t%at
' time and he did not withdraw his contributions upon his termination of service,
1. Basic data considered in valuations
a Active Members 44
b Individuals receiving benefits 10
e Total annual compensation for
active members $3079832
2. Annual retirement income considered Summary of Retirement Plan Costs for Proposed Plan
in valuations If All Active Firemen Were to RRtire at Both
In Active -1 $135,228 ttair,ing fain ng Attaining ttaining
n
Age 50 Years and Complet- Age 55 Years and Complet- Age 60 Years and Complet- Age 65 Years and Complet
o Xndividuals receiving benefits }818800 ing20 a_~;xs of Service 1 20 Years of Serv
~eS Total 1 ,
ice _i 0 Years of Service Yearol. of Service
of
of T-
3, Normal cost for Cost Data Coat Data 307 832 Cost Data 1307,832 Coat Data $3079832
a Retirement benefits for firemen 7 x'795
b Widow a benefits after retirement of firemen Retirement age 50 not q 3 2090 67$
Widow's benefits prior to retirement of firemen available under this Plan 2~is06p7 1.096 •9~ 2,2 1 1~~$~d
d Disability benefits for fireman since it would be actuarially 2,770 8% ' 19% 2, 00 .9
Return of current firemen .ontributions unsound if retirement age 50 ~ .9~ 20770 ¢ 2,7'x0
Is
f Total is granted. 1'296 1,
's,4 76 093 6
e :99 5.41
lie Gross aotuariel deficiency fGr
(a}} Ref irement benefits fog firemen
{b) Widow's benefits after retirement of firemen 251,4p3 6~1~ 148,601 48.3% 88,221 28 7%
o Individuals receiving benefits (children, widows, 47,133 15.396 35,998 11.696
and firemen) ` 105,E 34.196 105 118
d Return of accumulated firemen contributions 55,. 1.896 31.896 105,E 1
341
Total
3651 i18. T96 3o-b, 5~l 99.596 76.296
5. Book -value of assets as of February 1,`19710 166,800; 54,296 11 54,2% 3.66,800 54.29(
6. Net actuarial deficiency (4 minus 5) 198,782 64.5% 139,716 45.396 67,801 22096
7. Annual contritution to fund normal cost and amortize
net actuarial deficiency in 30 years fr6t February 1, 1970 37,117 1261% e9 945
, 9.796 210400 7496
8. minimum Mnua l contribution (normal coot o1sf interest
on deficiency) 35,420 11696 28t752
4•
lb r+oximate actual annual contribut~ ion 4` 20,821 6.896
Member and City contribution (lI of ennual compensation)
31,483 10.096 30,783 10.096 30,783 1Q,ab
State of Texas (amount in 1969) .596 ~1.,~4.~, ~ .596
Total 1 4
e 10.5% ,z33 10.5 N,2~5 10.576
10. Exctes of actual. contribution over required contribution
(9 minus 7)
(4x884) (1.576) 2,288 48% 10,833 3.5%
11. Petirement income based on final pay as a percentage of
such final pay
18.096 100196 140396
roe W-0 ^.pI
n ;L 3..: 9. Y.~ 7...r.,~ ,N.•;'3'S.a d'y ^a( !g'_.~
r 4k
. .5. ,..r. r. ~,..r i, ei. e'y'T.rS 7 r .r f..•q- 'v •f.: ik
is REpdD RFTIRE~4►NT FVlfg_Q Present Plan exc t' 1 h• a~un, of n n age 5 ears, irac saes to !or retireraent,et e.pa years
l plan f; Baton Ae !or veni ages are fo~tdcbjrainterpolation)j (2);extri benefit of per mo~nth'counences aca ng after retlreme Zn
yea~'a ox aer-
an nc
tonwild, rease6 to 055 f~'r retirement at age 65 years (8 ..ts at iriter ~ uric vice and there is no maximum of 14 years of service for the accrual•Disability
t enfiremn'continue
have received had ~ heocontinuediinw si and 's nefits would ervicecto agen55 yeare and complettdn20 years~of o would pay of a
fireman but not exceeding the fireman's pension at time of death provided he is all%,. at that time and he
service. A fireman may terminate service after 20 years' discontinue contributions to the fund and comRnence to receive $150 per month at age, 55 } did
not withdraw his contributions upon his termination of service.
1. Basic data considered in valuation! 44
(a Active members
Individuals receiving benefits 10
{c Total annual compensation for
active taembero $307,832 Sutrviary of Retirement Plan Costs for Proposed Plan
2. Annual retirement income considered If All Active Firemen Were to Retire at Both Attaining
loni ` Attaining Attain ng Attaining
Active e members $A50872 Age 50 Years and Co~let Age 55 Years and Complet- Age 60 Years and Complet- Age 65 Years and Complet-
is valua+
b Indiviftuale receiving benefits 8800 ing 20 Years of Service 120 Years of Service of ~ 20 Years of Service Of i_,ng_20 Years of Service
Acti8 80
72 o o Total
Cost Data- Coat Data 8 Cost Data ^ 8 Cost Data 307 83Z
) i ' - --(5)
Normal cost for $ 109990 3 6~ $ 90552 36 % $ , 2
a WRetirement idow's benefits for firemen 2 2 400 1.8% 2,400 .81
b Widow's benefits after retirement of firemen Retirement at age 50 not ,777 •9% M30 ,0% 20770 ,
a Widow's benefits prior to retirement ul firemen available under thin Plan 29400 8%
since it would be actuariaiiy 2,770 .9% 2,770 •9% 29770 69
d Disability benefits for firemen r~.,~►
e Return of current rimmen contributions unsound if retirement age 50 _x,614 1:4 614 1.4 614 is gxanted. ,551 7.47
l 7. ,
! Total
4. Cross actuarial deficiency for 0
(a Retirement benefits for firemen 19950,974 525 65 65 . CO% 162' 107,551 4,,
{b Wido'xte benefits after retiYVmer} t of firemen
105,U 34'1 105.E 34.E 105,E 34,+
c Individuals benefits `chiidrett, ~►idoxs$
d Return of accumulated firemen contributions F 664 105.3 1
3b1,281
~e; Total 117.3
f
166,800 5~+.2`~ 166,800 54*2% 166,800 5402%
Book valve of assets as of February 1, 1970 -
`,let actuarial deficiency (4 minty 5) 1949481 6311' 157023 51.1 94,931 30.8`
6.
70 Annual contribution to fund normal cost and amortize
not actuarial deficiency in 30 years from February 1, 1970 35,880 U*7% 32j162 io.4% 24,926 8.196
Be KinimUm ar mal contribution (normal coat plus interest, 349220 11.1' 30,817 106096 24,E 7A
on deficiency)
9,A roximate actual aranuai contribution 30f7S3 10 . 09s . 3 10.
s Me~aber and City contribution (10'~ of annual compensation) 1 4 ,5% 1,453 10 % 30, 10.5% 124 bl State of Texas (amount
in 1969) 10,5% WOM 10.5' ,233
~c) Total '
10. Excess of actual contribution over required contribution (3,647) 1.2% 71 00% 7007 2.496
(9 minus 7)
116 Petirement income based on final pay as a percentage of 15.7 16.096 15.8
• rich final pay
n w R+ c. ay. ♦ 4 r fi h ;L tl b`'~t
iu. . ^ J •-x°' Y.f { ..i.. 1, ~'-V. Y a Y+Y12 fi. /i Y 4^y Ij r4
many ..y rl 4 .prq b ii... Y..-.y Cwf a . • .M, i .y 1 ry a'
r .l
.k - a Interest Rates ~ t Plan. D
it Fft NO
Age: Self-DO101
1tFtiPp A I'm vyPtp I ti'P-MJD 0F'Il$tl'ION. TEXAS Ar, X+ I±~7 VA1+sntinn as of f - 1! o" ry wl"nsl " plan tf.at`tse
retirement inco6hrua 1920,
mo is`'b"id an the fo as (final 5-year average annual tai (years of I e~rvf.ce t r retirement age)
•~+5%; 54,. 7%3 57,'9 f 58,•51$1
nefit Formulai Plan b -This Plan is 4 "final pay (percent chit or each yesr cf aervi~e). T~hepercent credit for each year of ser{v ce according to
retirement age as fol.lawss retirement age 550
591 653%; 601 .55%; 61, . 4j' 62, .73`l6; 63, •t2%,~ 9 % 6, ~ The month}; vtirement income must be at least equal to $185 for
retirement at age 55 years and 20 years of services
$250 for age 60 retirement and $300 for age 65 retirement amounts at intervening hSes are found by interpolation). Disability benefits continue unchanged
at $150 monthly. Total c-)ntri-
butions are increased from 1096 of pay to 12% of pay. Widow's and children's bene*lits would be increased to } of pay of a fireman but not excee&.ng
the fireman's pension at time of death
or what a fireman would have received had he continued in service to age 55 years and completed 20 years of service. A Zireman may terminate service
after 20 years,, discontinue contri-
butions to the fund and commence to receive $150 per month at age 55 provided he is alive at that time and he did not withdraw his contributions upon
his termination of service.
1. Basic data considered in valuation:
a Active members 44
b Individuals receiving benefits 10
C Total annual compensation for
eetive members $307,832 Summary of Retirement Plan Costs for Proposed Plan
If All Active Firemen Were to Retire at Both
fng
2. Annual retirement income considered ttaining Attaining Attaining Attain
in valuation: Age 50 Years an& Complet- Age 55 Years and Complet- Age 60 fears and Complet- Age 65 Years and Coo plet.
(a Active members $186,73.4 Anig 20 Years of Service S 20 Years of Service in 24 ears of Service i 20 Years of
Service
(b Individuals receiving benefits 8 800 of 16 of of % of
,~j~
(Data Cost
(((o Total 195,51 Costto~ Cost_ eta-,C)7.83? Cost
3, Normal cost for
a Retirement benefits for firemen Retirement age 59 not $ 10034 3.4% $ 11,049 3•(0% $ 1 ,623 4.5%
105%
b Widow's benefits after retirement of firemen available under this Plan 2,662 19% 2,lpo5 1:1% 9Z'763
e Widow's benefits prior to retirement of firemen since it would be actuarially 2,475 .896 20475 8g% d Disability benefits for
firemen unsound if retirement age 50 2,770 1 4'~ 1.49e 4,770 1.~►'
e Return of current firemen contributions is `granted.
if Total 7 7:4 96 ,1 7.896 , 9.096
4. Gross actuarial deficiency for lai Retirement benefits for firemen 1 4' 63.E 171,b02 55.716 153,975 50o49~
799`
b Widow's benefits after retlreraent of firemen ,193 16.096 549429 17.7' 51,271 160
o Individuals receiving benefits (children, widows, 1 10 .1
and firemen) 105,E 3108%
4
e 110,55,*~ 3401 5 664 34.8
Return of accumulated firemen contributions ~ 11511% 336,0;3 109,3% 1 102.6
d Total
T
5. Book value of assets as of February It 1910 166,800 54496 166,8oo 54.2% 166,800 s4.2%
6. Net actuarial deficiency (4 minds 5) 187,875 60.9% 170,()13 5541% 149,228 4864%
7. Annual contribution to fund normal cost and amortize
net actuarial deficiency in 30 years from February 1, 1970 350651 1166% 359785 11.6% 37,966 12.3%
80 Minimum annual contribution (normal cost plus interest on
deficiency) 34,048 11.1% 34,334 11.2¢ 36,692 11.9%
9. A roximate actual annual contributio 12.09(, %0940 12.096
a Member and City contribution (12% of annual compensation) 36,9ho 12. ~ ~,114%
.5
b State of Texas (amount in 1969) 12.5
% 38,390 12,596 12.5
c Total 30,E ,
10. Excess of actual contribution over required contribution 424 l96
(9 minus 7) 2,739 •9% 2,605 .6%
11. Retirement income based on final pay as a percentage of
15.676 20.5% 40.3%
} such final pay
.:r. •••:'ra Aa.... 1 1 '...V Y. . .i.i V/ T 'il a ~ 1..:~
• - _ . . s... . Y r. - . arr.;. r j.. 'ft' , Y n.Ss
e.J ..T . r a. ...n.. n 1.....i ..'Y:a.:. .r., i.rl'.N tr . 4u Y.. i.*^ a ..S". a..,,.:
a` r
ti: tte` >1an -1si""g
- - Enters' 696 t . "
veinal 10M,, 3rra mum An mmwan r.-A~i~e11~'1 . Avs Be l See Be o eat k a _..6 Page 14 YkY
avcrage,snnusl dalary Years of ifmce to re irenent age ,
refit t an s This Mari 6 s _ final psy piM in that the zetirement income iaj ~s►aed on t e formt~Uina1 A-Year
t for etch year of sex-rtes). The scent credit for each year of ierw Ce is'-4ccor ing to, rot rement as follows retirement age 50, •5096;
51, .52%1 529 •$5761 53, 5141
}i
o $150 for
r
rcent 67~i 5$ 7099_" ?"2 3 600 •75%1 61$ , W% 95 i 65, 1 The monthly rettreaunt income must be at leaet equal t
'95%)
T.60%; 55, .62%1 56) 665%1 579 , ~ 62 85f;'-63j 1 . ,
retirement at age 50 yeare and 20 years of service; ~w for retirement at age 55 years) $250 for age 60 retirement and $300 for age 65 retirement (amounts
at intervening We are found
• Vy interpolation). Disability benefits continue unchanged at $150 monthly. Total contributions are increased from 10% of pay to 13% of pay. Widow's
and children's benefits would be in-
creased to } of petty of a firemac but not exceeding the fireran's pension at time of death or what a fireman would have received had he continued in
service to age 50 years and completed
20 years of service. A fireman may terminate service after 20 years, discontinue contributions to the fund acid commence to receive $150 per month at
age 55 provided he is alive at that
time and he did not withdraw his contributions upon his termination of service.
1. Basic data considered in valuations
44a Active members 44
(b Individuals receiving benefits 10
(((c Total annual cow`°neation for
active members $307,832 Summary of Retirement Plan Costs for Proposed Plan
If All Active Firemen Were to Retire at Both
2. Annual retirement income considered Attaining Attaining Attaining ttaining
in valuations Age 50 Years and Complet- Ago 55 Years and Complet- Age 60 Years and Complet- Age 65 Years and Complet-
a Active members $245,566 in 20 Years of Servvice ing20 Years of Service ing 20 Xears of,Servvice in& 20 Years of Service
b Individuals receiving benefits 8 800 lb Of 0? Ch (((c Total Cost Data Cost, Data $307.832 Cos(y)
to WAVY A%0 Cost Data
36 Normal cost for l~l (6)
a Retirement benotits for firemen $ 13,189 4.3% $ 12,997 4.296 1 ,637; 4.4¢ $ 1 ,623 404%
b Widow's benefits after retirement of firemen 20688 89 30284 1.196 5 1.496 S Z36 1.5%
0 9iidow'q benefits prior to'retirement of firemen 2,475 .8% 2,475 08% 2,475 2,x+75 08%
d Disability benefits for firemen 2,770 •9% 2,770 4,770 1, 4,770 1.9%
4 Return of eurrent firemen contributions 4 1. 4_,66_ 169 ~
f Total s#~?$ 8.496 26$222 8.576 o 96 0'~ 'x$;300 901%
fl a
sot rei.du 'firemep 74 3% 214,350 69 6~ 186,640 ; 60A 153,975 $0,096
fits afters 2?8,594 .
b Wido~t s benefits 4 5 198 1942 16.79<
e fits r retirement of fireirea 46 754 ; }5.2% 5 ,153 17 59, 51)271
o InBivals receiving benefits (children) widows
and firemen} 105,118 4.1% 105,118 3i, % 105,118 31441 105,118 3i,}'!<
d Return of accumulated firemen contributions 654 + 123.176 ~ 115.7 , 3 t6~~b
#e; Total , liEh~ ,5 1026
166,800 5462% 166,800 5402% 1661800 54.2% 166,800 54.2'16
5. Book value of assets as of February 11 1970
6. Net actuarial deficiency (4 minus. 5) 219,330 71.276 2129465 68.9% 1890820 61.5% 1490228 48.4%
70 Annual contribution to fund normal cost end amortise
net aotaarisi 4ofiotency in*30 years from February 11 1970 400860 13.3% 441784 156296 409913 ' 13.5% 38,328 12.5%
8. Minimum annual contribution (normal cost plus interest
on deficiency) 38,988 1247% 38,970 12.796 390292 12.8% 37,054 12.0%
i
9• A roximate actual annual contribution 40 018 X3.0% 40114#018 130% 40,418 Y3 40,418 1360% 50 a Meatier and nd City contribution
(1346 of annual compensation) , ~p
b State of Texas (amount in 1969) 144 o 5% .5o Total f0, 13.596 1 130 5 W 13.5')6 410460 13.596
01 Excess of actual contribution over required contribution
(9 minus 7) 608 .2% 684 .2% 555 .2% 3,14o 16
11, Retirement income based'on finel pay as a percentage of
such final psi 15.39< 20.1% 27.096 40.3%
r! ;
t1,1 dD/IfAN►
....i 1A, .L. ♦n. k. L. 'r. t .r 1.>. r Y'. "Sl- t~ t•!P:` A`i .41
-i,
I'LL
Pl" i Plan A
iotei st Beset 89t
&A1 A . -A Avers ¢e Retirement ges
rm fat: P in D this Plan is a "final pay!' plats in that.thP_xe'tirezbent incOW L beaecl .on the lr oulat (tYrn►1 5-y*,ar avs~rage annual's
i¢ry)(years.of serYise, to retfrlmettt'agb}`
Benefit'
percent credit or each ar of service) The' rcent,`credit for each year 6t service is adc6rding to retirement age as #ollowt+t retirement,
sib 55, .4596, 56, •4,7961 5y, .5196,
9, .53%; 60,' *55%; 61, .644$; 62, .73%1 63, ,82`bf64, .91% 65, 1.0%. The monthly retirement income must, be, at least equal to $183 'for rekirae',4~t
at age 55 yeard and 20 years of sa)Mce3
j.50 for age 60 retirement and $300 for age 65 retirement amount's at interveoing ages are frnuid by interpolation). Disability benefits conti,iue unchanged
at $150 monthlyrl Total contri-
butions are increased from 10% of pay to 12% of pay. Widow's and children's benefits would be increased to } of pay of a fireman but rot exceioding
the fireman's pension a4 time of death
or what a fireman would have received had he continued in service to age 50 years and completed 20 years of service. A fireman may terminate service
after 20 years, dleccntinue contri-
butions to the fund and commence to re."ive $150 per month at age 55 provided he is alive at that time and he did not withdraw his contributions upon
his termination of service.
1. Baaic data considered in valuations
a Active members 44
b Individuals receiving benefits 10
(((c Total annual compensation for
active members $30',83'' Summary of Retirement Plan Costa for. Proposed Plan
If All Active Firemen Were to R_eMre_at Both
2. Annual retirement income considered Attaining ttaining Attaining Attaining
in valuations Age 50 Years and Complet- Age 55 Years and Complet. Age 60 Years and Complet. Age 65 Years and Comple
a Active members $322,106 ing 20 Years of Service ing 20 ears of Service in 20 Years of Service ing 20 Years of Barvic
b Individuals receiving benefits 8800 16 of % ,0832 Cost Data 0 08 Cost Data So832
c Total 334,90 Cost Data Cost - Data -33 (++1 (5)r .(7) -
1. Normal cost for
a Retirement benefits for firemen Retiremept age 50 not $ 80183 2.751 $ 99004 20996 $ 11,28 3.796
b Widows benefits after retirement of firemen computed but would probably 21068 2,856 9% 3,7 9 104
o Widow's benefits prior to retirement of firemen be available as 6. retire- 2,100 .7~ 2,100 .796 2,100 07%
d Disability benefits for firemen went age if the fund 'earned 4,770 1.g5 4,770 1496 4,770 7
e Return of current firemen contributions 8% for the tot term. n
Ifl Total 9,+5F 6,496 , 6..8% ,
Gross actuarial deficiency for firemen 199,1.82 51,796. 140,Q33 ' 45.696 1 1,618 42,896
411a Retirement benefits for.
b Widow0a benefits after retirement of firemen 44p00219 13.196 44,478 144.4% 43,826 8.7%
,a Y3ftviduals receiving benefits (ohildron, widows,
30
and firemen) 949606 14 .96 94, 664 600S 30.
l.$9d 94,606 3i;
(d Return of acawmlated firemen contributions 5.
fe Total 97.3$ 2~►~982 92.5% ~ 840096
5, Book value of assets ad of February 1, 19717 166,8oo 5402% 166,804 54.2% 1669800 54.9%
6s Net aetua%--e1 deficiency (4 minus 5) 132,871 43.1' 118,182 38.3% 108,915 0-06%
7,: Annual contribution to fund nonwa cost and amortise
net actvurisl deficiency in 30 years from February 1, 1970 30,383 9M 300784 1060% 33,169 10.8
81 Minimum annual contribution (normal cost pluN interest
on deficiency) 30,495 908% 30,519 969% 32,924 10496
96 jbj roximate actual annual contribution
Meraber And Clay contribution (19% of annual compensation) 36, 40 12,0% 3i,940 12.E 36,940 12.0
State of Texas (amount in 1969) wow 1,450 54 12.5%
12.12.5% W
Total r
10, Excess of actual contribution over required contribution
(9 minus 7) 8,007 2.696 7,606 2.5% 50221 168%
11. Retirement income based on final pay as a percentage of
such final par 14.'196 20.1% 4005%
_._.._._._.~._~..._..~._--°--fin vAZ# f]I1u,AT.ry.
l6 .
Plan D
Table 8
FIRDW B RELIEF AND
RETIREMMT FUND
OF DEWXN~ TEXAS
Actuarial Valuation as of February 1970
Retirement Plan Costs au a Percentage of payroll to Maintain
Fund on a Bound Basis
Annual Increase lo
Aver
age Annual Rata of Return on Pension Assets
Sala _jW
1 2
3
1, 4% 11.2~i
8.196 5.0%
2• 5% 13.6 10.5
3. 6% 7.5
16.0 12.g 909 J
Actua)ly computed by -ctronic computer. Other percentages determined by
ancillary computations.
The above percentages are a+ry,iicable t^ ;;,e payroll assuming that firemen
retire age 60 years and compitt"il of 20 years of service. However, the above
percentages are approximately correct for all retirement ages since this proposed
plan is actuarially sound regardless at vhat ages firemen elect for future retire-
ments.
00
i
i
TMs C"WY
17 - Plan D
Table 9 Interest Rate 6%
FIREM, s RELIEF AND
RETIREMENT FUND
OF DENTONt TEXAS
Actuarial Valuation as of February 11 1970
Coats for Newly Hired Firemen
as a Percentage of Their Salary
Level /.nnual Cost as
e at Hire Percent %e of P
i 2
18 6.5%
19 7M
20 7.O%
21 7.0%
22 7.0%
23 6.9%
24 6.9%
25 6.9%
26, 64%
27 6.6%
28 6.q
29 60 %
30 6oi%
31 6.5%
32 6,9%
I
33 7.36
34 7,7%
35 8.29E
Motet The computations to produce the above percentages were based on an annual
starting salary of $5,800,
Since the 30-year funding cast of plan D IN ila6%, this table demonstrates
that gains occur fray ne~Ay hired firemen.
Im M ~AM
t
E
Pi an D
•
Table 10
FIREM'$ RELIEF AND
RETIR3M YOD
OF DENTON,, TEXAS
Actuarial Valuation as of February it 1970 j
A Forecast of Benefit Payout
for the Next Five Years
i
i
1970 $8,800
1971 8,800
1972 8'800
1973 12,4001
1974
1G,o0o
E j
II
Note= The above forecast of benefit payout is based on the assumption
that Plan D is adopted by Denton Firemen,
~I
r
i
I~
-I
OOWAt~If
Table 11
FROM' S RELIEF & FWIREKW FWD
WMN .-TRW
Schedule of Baployee NA Employer Contributions
and Pensions Paid During Calendar Year Shown
&Ployee Employer State Total Excess of Con-
Calendar Contribu- Contri. of Texas Contri- Pensions tributions Over
Year tions but ions Contributions buttons pension Paid
1955 1,1, 0.15 1,4(F',15 1,OL5.34 Ii iU"t.,t► 1, 71.9; jl.U
1956 1 1 .82 1 ,•l-U1 .82 1 ,u-22 7!3 4,27".40 1 ,01 .96 3,2U4 .44
1957 117L5.r')7 1,705.24 13230.23 1,,;:t,1.14 1,071.96
1958 11 855.15 11'_54,67 958 .ft t (68, r.a
03 i, .3,72..01
1959 ,:.~3•t?n ~,G13.?3 -U- 49677.72 0.0.8u U5.9;:
1960 %0653.tc7 2 ,v53•'19 1,172.57 51319,95 1,21,G.i;u A0110.95
i
1961 3s4e,7,76 391,57.76 1?4 .U2 7,C93.5b 1,400.(.U `,1.93.58
1962 3,' 3,.72.16 1,021,-E2 E1,369.14 2,1sc.u.uu 5009.14
1963 3,5'79.30 3s943-5l eUij.91 e,?29.1 2)4~ U.rAj >32().I;1
• 1964 1;,24(1.26 1 1210,2U 11325.10 9075-50 21200o% 7t475.5"
1965 5,3699,7 5077.67 1,751694 12,521 x116 2,9)C,72
9,5 9:
1966 -19U5.25 " Ie95.05 1,289,29 15 U69,79 15, 9r', 9,073.83
1967 7,940.16 71 rw~35oIC 1,34?-53 17,217.1%9 7,644-9U 99572.`•'9
1968 1U324.42 1U319.42 1,64:4.22 22,290,06 815UU,10 13,769.''.
1969 11771.41 11706, 1.1 1 j425-75 2 41963•>1 6 , 5
uU.20 1,-,t,,.3,37
1970' 152U5,bv- 15o2uU,4C 1,5CU.tC 31,9c15.t;0 8)5GU.20 23,1►t15,~'U
* Latimated
I
i
1141 ~ d01QAW1f
.20
Table 12
FIREMEN'S RELIEF AND RETIREMENT FUND
DiEMN TEXAS
Number of Active Members andneflcraries on Date Shown
As of Number of Number of Participants
January 1 Active and Beneficiaries
of Year Members Receiving Benefits
1955 1 5 3
1956 y 3
1957 1 s 3
1956 1 3
1'+i!i j Sy' 3
1nGo 1 F: 4
1961 1 t~
1962 1 t; 5
1963 1 Z 5
1964 ?.2 5
1965
1()66 30 7
1967 3U t;
1966 34
c~
1969 36
I
rns WWAW
1-5 Ps" 2
rt In In ! ri
ND t= t: CA 00 00 t~
12 401~
a
n . 1~ ~ti ~ rl N !n ih co
1
w w ~ i w w w w 1 w
w
rl C O\ M i M rl M f4 f
'd $4
1 1 1 ! 1 1 1 1 1 1 I I 1 ,
OFOF~ ~
1 1 ! 1 1 1 I I i 1 f ! i j
I I
p ~ i~) 1 I 1 1 1 ! 1 1 1 I 1 I 1
~ ~ j ~j I 1 I I I 1 1 1 I rl I ( rl
1F 1 1 1 I 1 1 ri rl N 1 I a
• / 1 1 I 1 1 I rl 1 r-I 1 1 N c
1 1 1 H r4 ! H I 1 1 I !n
U O~~ 1 1 1 1 ~ 1 I 1 1 1 1 ~ 1 l
11
N fill Op 1 I 1 ri 1 1 i I 1 1 1 r4
• 1`I I 1 1 1 I 1 I 1 I 1 1 ! I ;
,73 ' I
.p 1 1 1 r1 1 1 I 1 1 1 I ~ rl
1 U1I 1 1 N r4 1 I I 1 I 1 I t M
f i
.d I rl N N N 1 1 1 I I 1 ! N
I
MI 1 1 rl M 1 I ! 1 I 1 1 ( a
I
N( 1 N N I ( I I I 1 1 1 ~ a ~
ri~ 1 n N I I 1 r 1 1 1 I M
111
l
H ! A a 1 I 1 f I 1 I 1 I
a
rls ~ cowal~nr
F-
_
.22
Table 14 tdale Employees
FIREMM'S REMKF AND RETIRE KENT FUND OF DP,~TpN TEXAS
Distribution of. Male Empl ees By Length of Service as of February 1, 1970
Completed Number Total Average
Years of of Annual Annual
Service Employees
2) Bela 1 We
Under 1 9 51,596 $5o733
1 5 31,26o 60252
2 4 26,184 61546
3 4 270312 61828
4 7 49,392 7,056
5 3 22,224 7,408
0 6 1 7,104 70104
7
8 1 7,824 70624
I
9
10-14 3 25,644 8,548
15-19 2 160128 8,064
20-24 4 35,604 80901
25-29 1 7,56o 7,560
30-34
35.39 - -
40 & over -
Totals 44 $307,832 $60996
nst ~X WARY
Pap 2
Retirement Age 55
"Wan 1)
nENir1N F I R F M r N
s ILLUSTRATIVE 'jr'4FFITS AT N02%04 ag:TIRF.4F"JT r)ATF UNnFQ DkID)SED KFTIREMFNT PLAN
i
1ASCn ant C{JRRF.NT 134SFD r"~ ESTIMATED
('QFrPIrC) SEaVIfF P AtiNUAL SAL ARV 1-INl1' DAY
L ---------I------------
AT VAL. AT RET. N F(TIRLWFNT RI AS 9 RETIPF4FIT RI AS E
NAME AGF. GATE UATF N INCO WF r1F DAY INCOME; OF PAY
J. W. GENTRY 46 21.500 30.417 D 2#220 2n.0 2#220 14.6
J. 49 FRWIN 34 104250 31.5CA D 2#220 24.1 2,857 14.2
R. We STEPHENSON 5Q 24.250 24.250 D 29844 33.7 2#844 ! 33.7
P. REED 37 11.50? 29.?50 D 2#220 26.2. 2#220 ! 13.4
9. T. CLARK 50 2.4.000 ?R.834 D 2#220 27.0 2.220 2181
L. T. FELTS 49 190250 2595A4 D 2#220 21.4 2122n 22.5
C. R. RICH 55 17.333 20.000 D 20RA 33.4 2#68A 31.0
C. E. WHITE 45 14.583 24.333 D 2#??0 2749 29220 19.6
R. W. HAGEMANN 33 R. 166 30.500 D 2#220 29.4 21449 13.7
J. D. nOLGFNFR 27 5.333 32017 D 2#220 28.6 3007 14.8
C. R. AARNETT 61 25016 25.916 D 30120 43.0 3#120 43.0
R• -II. PITCOCK 56 21.916 21.916 D 29376 33.1 2#376 - 3301
n, H. JENKINS 25 5,333 35.417 D 21220 30.1 3#664 1549
J. W.'ACCI R41CK 33 6.083 280583 D 29220 31.3 20220 1307
0. 0. CHARLES 31 5,916 29.750 D 29?20 31.3 29340 13.4
co 1.. MEYFRS 30 4.333 29.167 D 2#220 31.5 2371 1301
N. 0. SPOCKETTE 33 4.250 26:107 D 2#220 31.5 22220 1308
K. L• DAMSON 38 - 46085 21.00+0 D ?i220 3145 2#220 16,8
S. R. 'CARTER 24 4.664 364083 D ?#220 3105 31712 1.6.2
co no RROCKEITE 27 4000 32,134 3 D 2x220 3105 2#957 14,6
H. J. FRANK 36 44000 23.OnO D 21720 3105 21220 15.5
J. no R03INSON 29 4000 30.500 D 292z0 3105 2#586 1347
M. We HAPRAL 27 3, 750 31.334 D 2# 220 31.6 2055 14.1
A. E. HAMPTON 33 36250 24.834 D 2#223 31.6 2#220 13.8
0. G. RKADLr 33 ?.253 25.417 D 2#?2C 31.6 2#220 1368
F. W. HARRAL 24 2.500 33034 D 2020 32.2 304A 1500
F. R, 6Q EN 2.7 2.313 29.917 D 21220 32.3 2#661 1305
C. F. T'14LIN 27 1.416 ?9.000 ? D ?#220 3346 21481 13.1
J. n# WME 29 10313 27.167 I D 2#220 31,6 2020 12.6
L. W. m1IQDHFY 3? 307.51 2F.5nO D 7020 3507 ?..220 1501
L. J. HI %9^.11LFR 74 i4333 33000 D 2#220 35.7 2091 14.9
J. W10NE0 29 ?.75r 31 0CI` D #720 3567 206,17 144
J. F. NR 1r,,HT I . ISO 34.834 D 2 # 72n 36.3 3 361 1547
. nJ. M. R41.1.ARD 21 1.333 356503 D 29 ?2^ 37,1 3949? 16.0
P. r.. 0048", 22 1.?5(11 144004 D ?.211 37.1 3#217 150
T4 J. r#A4Rt50!1 ?4 475U 3105')0 'D 2i27~ 31.R 10649 14.2
F. E. RrIryERFnRj 25 06A6 310043 D 2#220 3P.A 2#49P ~ 14.0
ten
opw 00#mwY
PTl . 24
Retirement Age 55
Plan D
i)f~~T''Y FIaFNrN
1LLOSTIATIVF M:k,EFITS 41 ';^Q'AAL '?.TfREYFN'T '1ATF UNnfo PROPnSF_0 RETIREMENT PLAN
21SEn ON C(IRRFNT BASED 014 ESTIMATED
F.REDITF') SEPVICF P ANNU4L SALARY FINAL. PAY
L
AT VAL. AT PET. 4 PFTIPFMENT RI AS RETIREMENT RI AS
"JANE Alp E DATF OATF PJ 1NC,.1ME ('F PAY INCOME I OF PAY
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
i
J. N, L F E 27 .333 2R.583 D 79220 3908 2922(', 13.8
M. CASEY 23 0000 31.584 D 2x220 38.7 29747 14.2
J. P,A4TER 2Q 1000 25.5A4 D 20220 38.7 2#220 14.5
T. NATIONS 22 1000 32.584 D 2#22.1 3917 2,952, 14.7
Da PELZEL 18 0000 305 .584 D 29220 340 3872 1665
S. RINEY 23 0000 31.584 D ? 220 305.7 21747 14.2
H. G. I ALIMEN 27 0000 27.584 D 2 x220 38.7 2t 2?0 13.4
i
j
3. °Fi •7', i''Mi T' r~,TA"
:....w , . ; . t'. 4 `'.,r a 57 +414
i. . 2..:1 , ti. .w t.. ,.r_. , fe r....! v pJ- i Y S`.. .hJ „P 'G. 1 Ni i. v. tbf
',A
t
RettLemeat Arse 60
Plan D
F
nENTON FIRF4FN
TILUSIRATIVE 3FNEFLTS AT N,IRvAL RETIREMFNNT nATc UNOEa PRnP11SE0 PFTICE4FNT PLAN
9ASF0 nk4 CURRENT BASED ON ESTIMATED
CQE'1ITFn SEPVICF P ANNUAL SALARY FINAL PAY
L
AT VAL. AT RFT. A RF11/1EMENT RI AS z RETIREMENT PI AS 9
NAME Af.£ IiTF 04TE N I4C14E OF PAY INCOME ~ OF PAY
Js we GFNIRY 46 214.500 35.417 D 3,000 2740 30614 1945
J. M. FRW14 34 10025(` 364500 D 30000 3?96 40933 2001
P4 W. STEPHFNS4N 59 24.25) 25.500 D 39000 34.2 3000 34.2
04 REED 37 110500 34.?50 ;D 37000 354/. 30782 1808
9. T. CLARK 50 24,000 33.834 D 10000 36.5 30000 2507
L4 T. FELTS 49 194?50 304584 ~D 30000 3701 37000 2501
Co R4 RICH 55 11.333 21.917 D 30000 37.3 30000 3109
C. E. WHITE 45 14.583 296333 D 30000 37.7 30000 210
P. Ws, HAGEMANN 33 8.166 350500 ID 39000 3843 40232 19.5
J. D. OOLGENER 27 5.333 37.917 ~D 30000 38.7 50675 2049
C• Re 84RNETT 61 25.916 254916 D 39120 4340 30120 430
R4 W. P1TCACK 56 21016 254916 yD 34000 4041 '0000 35,8
no H. JENKINS 25 x4333 41).417. D 34000 4047 6008 2202
j4 We MCCOR411CK 33 640A3 33783 D 30000 42.2 30635 18.5
Do 04 CHARLES 31 54416 3W50 ;D 11000 42.2 40013 1941
C. L4 HF.YFRS 30 4:333 34.10 lD 3x400 42.5 4'x131 18.8
He 04 AROCKE7TE 33 4.250 31067 D 3000 4295 30350 1701
K.'Ir.t04VtT)SON 38 46093 ?6#000 :D 50000 42.5 31000 186
S. 44 CARTER 24 4.666 41j C83 D 1 000 42.5 6i?98 22*6
C. 8: BROCKETTE 27 40009 37034 ~D 30000 4245 5,086 2005
N4 J. FRANK 36 4.000 ?8.000 D 30000 42 '1 30000 170
J4 04 R,1BMON 29 4.0C0 3R K00 ID 104,0C0 41 4r'#64 1905
IA We 44RRAL 27 3050 36.334 D 30004 4'147 4,932 ?.040
84 E. HAMPTON 33 34250 24,834 D `3000 4207 30196 16.4
P. G 4FAOLF 33 3.250 304417 p '00000 42.7 39259 16.7
E. we HARRA( 74 ?4500 39034 b 39000 43.6 50736 2141
Fe Po GRFFN 27 24331 ;44917 ..D. 30000 43.7 4x627 1.9.2
C, F. TOMLIN 27 16416 34.040 b X1,000 4545 4,332 1A47
no 4C040E ?9 1.333 32.167 D 30000 4545 3 183 1747
1. N. MI)OPHEY 32 3.25^ 314500 D IInnn 4443 30101 1143
L4 J. 84AUGHLER ?4 )4333 396 400 p 30014 49*1 5032 200
J4 WAGyFq )6 ?4250 36.(100 h 1 000 4843 40492 1948
J. c4 WR11PIT ?2 1x75^ 304414 D 30000 49.1 5x714 2149
is 44 RAILA1^ 21 1433; 404581 b ;0600 5002 50922 22+3
R. C•. eaW1N 22 11 ?56 'g4 0a4 b 3,006 $017 5,485 ?145
r4 `]0 GAP gISnN 94 11750, 464S00 30000 5141 40660 2041
E4 RI.)THEPrnRO d5 166R 11%,GR3 b Moon 52.4 4005 1948
-."I COWAM
.,s ^T' :,.i .r. :e, 1a •-.ter-.-' b,+..__y....._.a..c.yw. ...+W.., ..1 :
p 2:
Retirement &i 60
Plan D
• DF'1T IN F IREmFN
1LLOSTPATIVF riFN~FITS AT "dr`DmA1 ~rTIQPMfNT f)ATF !1NJFP P'~r3unSrl ?ETIREMF14T DLAN
BASED "N CUQR~NT BASFO ON ESTIMATFD
CRFjTITEr) Sr'JVICF D ANNUAL SAIARV FINAL PAY
L.
AT VAL. AT Rr-T. A RETIREMENT RI AS RETIREMENT RI AS T
NAmr A~JF )ATF. DATE N INCr1WF OF RAY INC04F OF PAY
-
J• W. LEF, 21 .333 33.5x3 D 39000 5313 39618 18.5
M. CASEY 23 0000 366584 D 31000 52.3 4 032 20.1
J. DARTER 24 .000 30.584 D 30000 5203 39126 16.8
T. NATIONS 22 $ 00 31.584 D 3 000 52.3 5 063 2091
r) . PRIEL 18 0000 41.584 D 3#000 52.3 69547 22.4
S, RIfJF.Y 23 6000 36.584 D 3*000 52.3 4x732 20.1
H. G. LAUMEY 27 1000 32,584, D 31000 52.3 3,608 17.9
1
!
. i., ti v. .a.. ...1::.. -A_ .,r....... L. ...v.. . _ r1Y .4 iY.. ...11. •4f
Pa 2
Retirement Age b5
Plan D
OENTON Fl4EHF4
It.k1IST4AT1VF 9EktFFITS AT VlauAI OFT1aEMFNT )ATE UNIIER PRnPlISE9 RETIQEMENT PI AN
645Ff, n"' Ct.)PRI-NT t1ASE0 n►I E5TT4ATFO
C13<DITEn SEQvlrr P ANNUAI SAIADY FINAL PAY
L
AT Vtj AT RE I. A RFIIRF'4FNT RT 45 $ RF.TIRFMFNT RI AS T;
VA~4F A;F nATF nATF N INCOME nF nAY INCOME OF PAY
-
J. tiI GENTRY 46 211 5?0 40.417 D 4,496 40.4 q, 127 40.4
J. M. fRWIN 34 104250 410500 D 30920 41.5 1?,376 410:
R. W. STEPHFNSON 59 24.250 30.500 D 3960^ 41.0 39600 33.6
J. RHO 37 11.500 39.250 D 39600 42.5 91577 39.3
Ti. T. CLARK 50 24000 34.834 D 39600 43.9 5x514 38.8
L0 T. FELTS 49 19.250 35.584 D 396110 44.5 51180 35.6
C. R. RICH 55 17.333 26.917 D 39600 4408 3,600 31.5
C. E0 WHITE 45 140583 34.333 D 3,600 45.2 5772 3403
R. We 446FMANN 33 80166 40x500 D 39600 46.0 10,679 40x5
J. D. OOLGENER 27 5033 42.917 D 3,600 46.4 141206 42.9
Co RI BARNETT 61 25.916 290500 D 30600 47.6 31600 42.5
R. We PiTCOCK 56 21.916 30.916 D 3,601.) 4811 3,600 3501
0. Ito JENKINS 25 5.333 450417 D 3,600 490 159460 45.4
J0 We MCCOR41CK 33 6.013 38.5A3 D 3,600 5017 9,237 3A06
T)0 DI CHARLES 31 5016 394750 D 39600 50.7 101307 3907
I C. Le MEYERS 30 4.333 39.167 D 3,600 5110 10#474 3902
H. no AROCKFTTE 33 4.250 36.161 D 3,601 510 81600 3612
KI LI OAVIOSON 38 41OR3 31.000 D 3,600 51.0 6,059 31.0
S. R. CARTER 24 496+ 6 460083 D 3,600 511n 15,608 46.1
CI Be ARO(.KETTE 27 4.000 429314 D 10600 510 12,755 42.3
H. J. FRA111K 36 4.000 33000n D 3,600 510(1 4,995 33.0
J. O. QngINSnN 29 4.000 4r.5CO D 1,600 51.4 119288 40.5
uI We HARRAL 27 3.750 41034 D 3,600 x+1.2 12,411 41.3
A. F. HAMPTON 33 3.250 34.834 D 39600 5112 8,255 34.8
P. REAOLE '43 3.?50 35.417 D T16OO 5112 80393 35.4
F. W. HARRAL 24 2051'1 41.354 D 3,6UC 57.3 14077 43.3
F. C. GQVFN 27 2.313 39.917 D 3,6 10 52.4 11,699 3909
C. E. TOWLIN 27 11416 3q. not) D 3►60:, 5405 101941 3900
J. T'. MCDAOE 29 103*43 17.167 D 3960; 5405 q,6Rq 31.2
L. ty. '4119PHEY 32 3 0250 36.5C11 D 19600 570 7,964 36.5
LI JI PRAU641.F0 24 1.313 41.000 D 30630 57.4 120830 4300
J. WAG4Eq 76 2057 41.000 D 3,x,0^ 57.1 11#316 4100
J. Fe wq IGHT 72 1 0 "SO 44.814 D 10600 58109 149213 4418
J. '1. PALLAOD 21 1.333 45.543 D 30 bnl G!)I). 14,710 s 4516
R. G. FR141N 12 1.250 44,OP4 D 3,6il 60.2 13x671 44.1
TI J. (1ARRISt1N 24 0750 4105(`0 D 3,60 6103 110705 41.5
F. F0 RIJTHERfnRO 25 .666 41.041 D 1,609 62.9 1098E+4 4 1.1
W, T
ky-
r
, rer n:Y: q. rs c t.. g er•, , d. - t yY`3.
n.. .i' • '.CS n _.,Z1 ,.3. aV. r-d 4 k _a..d. L e.. e.. t • .
,a
.
u e
.Z.. . , . 4 n BEd! • aW1.~
r Retire:tent AVe O
i~
Plan D
. )FNT'4y r tREME N
ILLJST4ATIVr R`NFFIIS AT NnP",M p~TIJFuEN1 fF UN~EH PonP~SF^ R1TIRfuENT PLdN
RASGn '1"' CURRF11T RASFO ON FSTIMATF7
CRFnliFn SrpVICf p ANNUAL SASARY FINAL PAY
_ _ -
AT VAL. AT PFT. A UFTIP[ArNT--- RI AS RETIQEMFNT R1 AS 7
- @JA~f - ACF nATF `mTF - N INFOuc OF DAY 1NCf]M F - (IF-PAY-
-
J. We LEE 27 .;?3 38.583 D 3j60() 64.5 99193 ` 38.6
4. CASEY 23 1000 41.584 D 31609 62.9 1100, 41.6
J. GARTER 29 40)0 35.5P4 D 3,600 62.8 81062 42.6
T. NAT104S 22 .000 42.5P4 ~ D 3,600 62.9 12,677
D. PFL7.EL 18 .700 46.584 [ D 3960n 62.9 15oQ17 46.6
S. RINEV 23 1000 41.594 D 37600 62.8 11,903; 41m6
H. Go LAUMEN 27 4000 37.584 is D 3.600 62.a 9t2^5 37.6
TN! CONTAw
.4 x 1.
29 - wir""t Age
S
IENTON F1R°MC4 gial Security Benefits
FSTTNATrrj noImAQY SnrT4L SFCI1QTTY RF41:F1TC PAV4?1,G 4T Arr RS
•
444siat SnrTAI frC1IRTTY
9&SFr) 14 ahSrn IN
4nFV4T rST1vkTrn
1JA4F DAY FINAI oAY
I W UMTRY 7rR5q ~,RSq
,I M Fowvkt ?~Qll 7~Q11
Q W STFPNFNS!►N 29474 ?P474
n orris 79907 7~A~7
R T CIAPK 296114 7, Rnq
L T cc! Te 79 61f. ?,1,14
C c CUR 203A ?triv,
r r WW1TF 7~l,l,0 1,6044
R W NAr.F44NN ?9916 ?rq3~,
J n nnl*FNFP ?,qn? a,q~a
r R RAPNFTT 1,17p 711gn
R w oTTrn(k 21604 0%
n u JrNif1'iS 2$067 3~n'►A
1 W Mrr11 PulY 207AP ?Oql&
n n rli&QLrS 20752 7, n5!
r j oArYcPS 757 714004
11 n AP n"KFTTF 7710 2,036
X 1 M VTncn4 29671 7,917
S Q CAQTFq 70765 t,n'1a
r R ARnCrFTTF 7,765 i~nn4
4 J rflAUK Mn 2 ASq
7 n onPIkISnV 79760 1i3'1a
4 u HAPP.AI sT757 1T~?f4a
THl ~ C"ANY
r 30
Retirement Age 65
Social Security Benefits
. nFNTnY FIREMEN
FSTIMAref) PP IV SOY SnCIAL SECURITY BFNFFITS PAYASIF 8T Ar,r .55
ANSMAL Snf'9A1. SF[i1RTTY
1AScn nN nASrn iv
ORFSF4T FSTI4ATri
~JAMF Phv F10,JA1. PAY
A F ~iA►~flTnv ?06Q9 ~0q1 t
r AF All r ?0711 ?►~1t;
r u HA4aAL 2971.1 1►11A
A RRFFN 20713 3►nnA
r F TI%01, 14 2961E 19nf3A
l n Mri?AnF 29SiS 2099
L K MJP.PHEY ?044q 70961
I ) RoA'lrl4LF4 PtSOO -4
wAr.Vta 2►514 1
~~nA
J F wo ow 70 474 100) 1A
J M AALL4RD 2944? -%ina
R C CPWIN 90443 30019
T I AApR1SIN 29415 10f)(N R
c F 0111HE oF'10n 2037) It em A
.1 4 I.FF 29317 3017A
M tASFY 79376 10r1R
I nApTFQ 29176 70QgAt
n PFI LFL 29176 1.0118
S aIvy 2.0376 19^nR
N R LAllMFN 20376 1►nnA
s" ~ aaoerrr
s,
SIMON
HW111 _k:HYS OF FEDERAL SOCIAL SECURITY ACT Fogg LMPLoyrt b1~1~1~T ATA7CbtFN7 Pl'RMKGS
(As Amended In 114114,91
A. lectured Lralus Deftnitlons
1. 'fully Insured'! Ora quarter of coverage for inch calendar year aft@, 1950 or alter year in
• which worker became 21, if Iaterl minimum is 6 qua rtes of coverage; e0
quartos of coverage means fully Insured for life.
2. Currently Insured s At least 6 quarters of coverage dur,eg 11 quarter preiod ending with quarter
in which vorket to) died; (kl became tatitled to Disability Income Benefit;
Ic) became entitled to Retirement Income Benefit,
1, "Inaurrd Status" for Both (a1 fully Insured, end (b) 20 qua rtes of care rage during eD quarter pe r!od
Uiw,otty Benefits; ending 'Ith quarter in which disability commenced fur it disabled before age 71,
must bt able to meet special regeirrmerdsl.
B. Conditions for _Benefit rsyments andd\mounts of Benefit
insured Status Requirements
Siturlion for fli iblltt for Worker Amount of Benefit
I. Retirement of worker 62 fully Insured PIA Irtduced it first payments
or over before 65 by S/9%. or I/1801h,
per month before age 65f
2. Disabled worker under 65 Insured status requirements nut YIA
1. Wilt of person entitled to Insured for OAS or DIE, whicb. J MA, subject to family marl-
01B or OA B. If she ist ever is applicable mum, eatept wife's benefit Is
(a) 62 or over redxtd if first payments are
(b) Caring for child entitled made before age LS unless she
to child's benefits, If has her husbend'e child under
under I$ or disabled Is In her care Reduction for
wits 62 - 65 (no children under
16) Is 25116%, or 111444, per
mo^ih before site 65.
6. Dependent, unmarried child of lnaurtd for CAB or DIE, which. I PIA, subject to family mail-
person entitled if DI1S or OAS, ever a applicable mum
Ir child Iat
It) Under age 11, or
(b) Age 16 or over, sutler 22, sod
attending school full-timer or
. let Age 16 or over, and candor a
disability which began before
U
S, Dependent hurbanE, 62 or over, Insured for DAB at DIE, which- PIA, subject to family mart-
of womao enl Hied to D1B or OAS over is applicable mum reduced 2SM% per month
Were age 65
6. Widow age to or ores Fully insures It first entitlement after age 62,
621% (reduced 519% per month
before age L21
7, Widow if raring for child entitled Either fully or currently insured 75% PIA, subject to family maxi-
to benefits If child Is Under 11 or mum
41 sabl ed
i
8. DeprAdeAr, unmarried child of either fully or currently insured 75% PIA, subject to family mael• 'i
dereaaed worker, if child to. mum
lot Under age id, or
(III Age 18 or over but under 22
and attending school full-time,
or
lei Age l8 or over and under ills-
ability which began before
as,
IB
i
9. Dependrnt widower, age 62 or fully Insured 811% of wife's PIA, subject to
over, of deceased woman workerss family mamimam
10. Dependent parents, mile b2 or over fully Immured (al Salt dependent parent l,ving -
of drrNsed worker 621% 1'IA
(b) Two dependent pat tots . 76%
M each (all aubject to family
rn•.almuml
it. Lump mum death benefit tither fully or currently insured I times P(A, maximum 1255
le) To widow (widower) if
living In household with
worker a his death, or
Ibl To funertl home or to per.
son paying burial expensed
If no eligible widow or
w ldowe r
e hieabled widows may be entitled to beaeflto between miss 10 and 62, with a benefit roclw ad to SOS of The IIA
at age $0, grading up to 11111% at ago 62,
et 6'ootnott for item 6 also applicable to disabled wNo'Oetr.
M t*0 Aaralrr
ter. • r A 'r Y1 a r ':l .
x ~ t
Page a
• Voter: 1. "Avenge monthly earnings" will be determined by the 196S ,new start" mrthod, as it Is applicable
to the great ms)ority of workers retiring after 1966.
2. The minimum PIA is $64. The minimum GAB at 62 is $St. The mlaimum survivor benefit where
there is only one survivor is SSI, except for widows becoming entitird to benefits before age 62.
3. Formulae to determine approximate PIA -
81,83% lot $1320 Average Yearly earnings
29.76% next $3400 Average Yearly earnings
27,81% next $1800 Average Yearly earnings - 12
32,69% next 31200 Average Yearly_earnings
4. Maximum Family Benefit for those having Avcrage Monthly Earnings (AME) of
(a) legs than 3240 equals 11 times PIA
(b) more than $239 but ten than $437 equals 80% of AME at lop of bracket In table
(e) more than $436 up to $650, 80% of $436 plus 401% SAME less $436)
S. If maximum family benefit reduces benefits otherwise payable, benefits other than those of worker
are reduced proportionately.
6. Benefits for Social Security beneficiaries always rounded to next higher 104 (and because of this,
lutal family benefits can exceed family rnaxlmum in Note 4). lioeaever, benefit statements will
show benefits in dollars only and we will round to next lower dollar in each instance.
a PtA amounts urder Social Security Act as amended In 1169 are actually equal to 115% of 1967 PIA,
rounding to the next higher 104 if not already a multiple of 104. Perceatagea shown above will
produce PIA amounts which will differ by perhaps as much as $1 from amounts In Koclsl Security
Table, but percentages will be utilized for benefit attement purposes.
1
fiyl Communications Department
January It, 1970
i
I
i
nn t~ corsuer
TIE EFFECTS OF INFUSING INTEMT YIEWS ON PENSION FUNDS
There is a general understanding and appreciation that as yields on pension
assetff increase, additional earnings are available for increased benefits. However,
wit)OW, a demonstration of how increased interest yields build increased benefits it
is diffieult to gain a clear understanding of the relationship between additional
interest earnings and additional benefits. Accordingly, the enclosed tables have
beeiprepared so that there is a greater awareness of the impact of yields on retire-
ment plan benefits.
1. Datlar Increase_i_n Benefita as Interest Earnings Increase Table 1
Table 1 shows the results of actual computations from our computer pro ams
of w}int. can occur as the yield on pension funds increases from 4A%, to 5%, to 6, to
7%, and to 8%. For example, under Column (3) an employee's pension will increase
from $9,710 to $27,211, an increase of nearly three times, if the yield on the money
to fund this pension earns 8% per annum instead of 4h% per annum. Table 2 further
illustrates this point.
2. Percent Increase in Benefits as Interest Earnings Increase - Table 2
Table 2 illustrates the percent increase in benefits based upon the reaulta
in Table 1. For example, as listed on Line 2 of Table 2, if the yield increases
from 41% per annum to 6%per annum, pension benefits increase by 1.6 times.
3. Dollar Increase in Fund as Interest Earnings Increase - Table 3
Table 3 summarizes the results of the detailed computations in Tables 5, 61
and 7. In order to obtain a good grasp of Table 3, it is helpfxa to trace through
some of ,..a detail illustrated in Tables 5, 6, and 7.
4. Percent Decrease in Plan Costs as Interest Earnings Increase Table 4
If interest earnings on the pension fund increase and the plan benefits
continue unchanged, retirement plan costs will reduce and Table 4 illustrates the
amount of reduction as a percent of payroll. The percents tzhoWn in Table 4 are tied
directly to the summarized amounts in Table 3. Changes in &wants in Table 3 would
cause proportional changes in percents shown in 14,tble 4.
5. Detail Tables Showing Computation of Extra Interest Earnings - Tables-5. 6 L7
Detail Tables 5, 6, and 7 show tre-build-up of the additional assets result-
ing from an effort to increase the yield on pension assets, These tables provide the
foundation for the results shown in the preceding four tables. Tables 5, 6, and 7
graphically illustrate the additional assets that came to a pension fund when a
strenuous effort is made to elevate the yield.
6. Tables Prepared for Illustrative Purposes - Results Can Differ for Specific Plan
For the sake of simplicity, computations were performed for one employee
with no prior service actuarial deficiency to be funded. In actual practice most
retirement plans carry an actuarial deficiency and only an actuarial valuation of
these plans would reveal the effect of increased interest earnings on the Rind. An
actuarial deficiency under a plan usually has a dampening effect on the increase in-
terest earnings resulting in less increase in benefits over-all than illustrated
herein. However, these tables show conclusively that extra interest earnings on a
pension fund have substantial impact on retirement plan benefits and costs.
r ~ %1W 0010AW 1
r
34
Table I
• Illustrative Amounts of Annual Retirement Income to an Employee
Commencing at His Age 60 Years
If He Is Hired at Age 25 and
If Total (EM212,ee Plus Employer) Contributions to Fund is 12% of Pay
Based on
Based on Beginning Salary Estimated Final Pay
At Age 2 of %.400 At Age 6o of ,464*
% of , of
Annual Beginning Annual Estimated
IncIT Steals Inc *r F irs(4 Pay
tom!
Annual Retirement Income
Commencing at Age 60 Years**
(a) If Fund Earns W, Per Annum 2,766 43.2% 9,710 43.2%
(b) If Funi Earns 5% Per Annum $30254 50.8% $11,423 50.9
(c) If Fund Earns 6% per Annum $4,343 67.9% $150244 67.9%
(d) If Fund Earns 7% Per Annum $5,743 89.7% $200157 89.79,
(e) If Fund Earns 8% Per Anmam $7,752 121.1 $27,211 121.1%
* In computing estimated final pay salaries were asovaed to increase at 49 per
annum.
+ The annual retirement income is payable for life of the employee with 2/3rds
of his income continuing to his widow upon his death.
Table 2
Increase in Benefits
As Interest Earnings Increase
(Prepared From Above Table 1)
Retirement Income As a
Multi le of Base Income
Using Annual Using Annual
As Interest Earnings Increase Income of $2,766 Income of $%710
From To As a Base As a Base
77 r2T (3) 14)
1. W 1. Per Annum 5~ Per Annum 1.2 times 1.2 times
2. 4;x+9, Per Annum 6% Per Annum 1.6 times 1.6 times
• 3. 114, Per Annum 7% Per Annum 2.1 times 2.1 times
40 1+?,9, Per Annum 8% Per Annum 2.8 times 2,8 times
tau ~ oaourr
711
35 I
Table
A SummarY of Enclosed Tables 5. 6 and 7
A Pension Fund of $1,000,000 in 1969 With a Yield of 5% will
Produce Additional Assets if the Yield is Increased Sown Below
Additional Assets in Fund
Period of Increased If , Yield on Fund Is Increased to
Interest Earnings bi 7% -K_
1. For 10 years (to 1980) $168,704 $ 357,77? $ 569,299
i
2. For 20 years (to 1990) $4332941 $ 9809122 J $1,6639643
3. For 30 years (to 2000) $908,933 $29204,390 $4,o26,259
a
(For a fund of less than $1,000,000, or more than $1,ooo,0000 the above amounts are
proportio._ately reduced or increased).
For example
, by increasing the ilancl yield from 5% to 7%, $9801722 will be added to
the fund in 20 years, 1990.
a
Table 4 I
Converting the Amounts Shown in Table 3 Above Into Reduced
Contributions as a Percent of Annual Salary
If Benefits Continue Uncharged j
For a Group of 100 Employees With an Arnual Payroll of $6oo,0oo
(average $6,000 per year per employee) The Increased Asset,
Resulting From Extra Interest Larniggs Reduce Plan Coats as Shown Below
Reduction in Flan Costs as Percent
of Payroll
Period of tncreasid If Yields ie Tncreased~tao 1
Interest -Earnings i ~1.~
1. For 10 years (to 1980) 2% 51)
i
2. For 20 years (to 1990) 2y; W, a
3. For 30 years (to 2000) 2% 14
For example, an increase in the fund yield from 5f, to 7% £or 30 yeRro to 2000,
would reduce plan costs from 18V. to 12% of pay.
;tits vAW OOWANY
t s r . y• 1^°. n x.y«♦ y....•.r p - ....:.c «'.~i r 4:'.n .Y' \e
w., r. CS. ..,.,-.r ...y „V. Y-: 9. . . L, ...r ....,.'D. . 4.. 1 H f i, a. ur '~i+, M•P x'N CLI
:+p.v r. Y:. ,Y s'~.... a:G" T
r.. r 4a. . ..,r fi:.. -:,,.7 J 7r L• . !a .yh y'py..,. r•'J.. 't-t aP. v
-
F77
Page 36
cable
Illustrating the Effect of Increased
Interest Earnings on Retirement Funds
Increase In F1md Asseets Tn Yeare Shown Pelow AssResult of E~nrning Additional 1~ Yield on Assets
1969 1970 1971 1972 19 7 1 97 8
~'enr T~urinE Which A 6$ Yield j tw~4J)
t5) l7 tol (y1~ ~ 10 11i "~'~80 :3• 2 )
replaced A 5% Yield
On A Fund of $160002000
1969 $10,noo $10,6oo $11,236 $11,910 $120625 $139383 $14,186 $15,037 $ 15,939 $ 16,895 $ 17,909 $ 180984 951,7
$ 60,883
1970 10,000 10,600 11,236 11,910 120625 13,383 14,186 15,037 15,939 16,895 17,909 i2 ,%73 57,'437
1971 10,000 10,600 11,236 11,910 12,625 13,383 14,186 15,037 ?15,939 16,895 ,258 54,186
1972 10,000 10,6oo 11,236 11,910 12,625 13,383 14,186 15,037 15,939 2 ,545 1,119
1973 10,000 100600 112236 11,910 120625 13,383 14,186 15,037 <<j729 x,225
1974 100000 10,600 11,216 110910 12,625 13,383 14,186 25,4c,5 450495
1975 10,000 10,600 11,236 110910 12,625 139363 239967 420w6 100000 100600 11,236 11,910 12,625 2'8,610 40,491
1977 101000 10,(000 11,236 11,410 21,330 380199
1978 100,000 10,600 11,236 26,123 36,037
19980 100000 100000000 IE0s984 39 33j997
1981
1b845 30,2
19
L9W 83 5 039 Q6' 2g
1984 14,186 23,405
1985 13,383 23007
1,20625 229610
7 1109X0 210530
1988 11,236 20$123
1989 lo,6o0 AAA
1991 100000 1,409
1992 15,98339
1993 15,037
14,1%
1995 13083
1996 12,625
199'0
1998 0102
,
1999 10,6oo
2000 1060
'total Increast in Fund t10,o00 t20,6oc, $31,836 -090"146 056,371 =69,754 4,8i,94ri `-48,57; :114,916 51311811 $149,00
ft6f►,704 -L="-,941 $5o8093:
For Year Sham at Read
of Colwo
1, TH: taip-M COWANY
, . . ,.n... - 'e i vs r. r. , ,,..o ~ , . :w s-i. M Y,+Vw w• w. .r w. w• .t+... .K a-+w...
Tnbe 6
Illustrating the effect of Increased
• Interest Earnings on Retirement Funds
Increase In Ftmd Assets in Years Shown Below As Fesult of Earning additional 2 Yield on Assets
1,69 974 971 1972 --1972-. 1 74 9 _ 1 _ 1076 1 1978.- 1UPG 1 1,~G 2000
(77 --~1-0) 17 ~ 7"' 7-13T- '"Ti~►'~"
Ynnr ihwing Which A 7% Yield `(ZJ" j2) (3) 5 7
Replaced A 5% Yield
On A Fund of $1,000,000
1969 $20,000 $21,400 $22,898 $24$01 $ 26,218 $ 28,051 30,015 $ 32,116 $ 34,36h $ 36,7d~ $ 39$+3 $ 42,097
r P29812 $ 162,905
1970 209000 21,400 222898 24,501 26,218 28,051 30,015 32,116 3?4.92 36,769 39$43 719394 1 ,248
1971 20,000 219400 22,898 4,501 26,218 28,051 303015 32,116 34936)+ 369? " 72,331 142,288
209000 21,400 22,898 249501 26,218 28,051 30,015 32,116 34,36!+ 67,599 132,97'9
1972
1973 20,000 21 400 220898 24,501 26,218 28j O51 051 300015 32X6 63,177 1240279
,
1974 201,000 21,400 22,898 240501 26,218 28,051 30,015 59,044 116,149;
r 1975 209000 21,400 220898 240501 26,218 28,051 559181 108,E
1976 20,000 212400 22,898 24,501 26,218 jg19571 101,44$
1977 20,000 21,400 229898 249501 6891 4,812
1 1978 20,000 21•+00 229898 45,044 N,609
1979 20,000 21,400 42,0~? 820812
1980 200000 39,3'+3 779304
1981 %17
1982 34,364 67,599
1983 32,1sb 639177
044
19985 8;01 051 55,181.
1~ 26,26 1,571
1 x,541 fir
19 , 0v044+4
2.989 21,400 42,
1990 20,000 39,343`
1991
1993 32,i16
9
1994 30,015
1998 28,051
1996 260216
i9~98 224501
2,0898
1660 21,400
2660 20.._000
^otal Increase in TvAd 20,000 6.41,400 564,298 :,6p,7yj ?115,cl7 '143,C68 175,x, :2;5,19y 'Pv/•,5(3 52760332 ,-c0 5 "Mo772
556,1.22 12,204,/7r
"or Year Shown at Xead
of Column
mt coa,titiy
?
i ...G,. r,. y. 1 ,r 'm,. r: ..iVt„ ..r, .:W... s ir• i~i~ra-.,S~r~'. "ra. 7F i"!+'~, '~"\~',f • i
%
f
' Table i ,
Illustrating the Effect of Increased
Intereet Earnings on Retirement Am
Increase In Fund Assets In Years Shown Belo As Result of Earning Additional 3% Yield o_n_ Assets
tcl ~ 1-,~ 1 573 __174 _ 1975 176, 177 1107
Year 8 1979 1980 1990
During Which M 8~ Yield lt1T 1970
Replaced A 51 Yield `c, l71 l'+] (6? (tf) T(-) (i
-On ~ A Fund or 1 000m000
1969 $309000 $329400 $34g992 $ 37,791 $ 40,814 $ 44,079 $ 47,6o5 $ 81,413 $ 550526 $ 59,968 ~t 6+,765 $
6 ,946 $ 151,009 $ 326,019
1970 30,000 32t400 34,992 37,791 4o,814 ~►4,079 47,605 51,413 55,526 599968 6 0765 139,823 301,869
1971 30,000 32,400 349 37,791 40,814 44,0~g 47,605 51,413 55,526 59,968 1290466 279,508
1972 '02000 32,400 34,9y2 37,791 40,814 44,078 47,605 5.,413 55, 6 119,876 258,804
1973 30,000 32,400 34,992 37,791 40,814 44,0^9 47,605 51,x+1.3 110,996 239,633
1974 300000 32,400 34,92 37,791 40,814 44,079 47,605 102,774 221,882
1975 30,000 329x+00 34,92 37,791 4o,81ta 44,878 95,161 205,446
1976 30,000 32,x+00 34r992 37,791 40,814 88,112 190,228
1977 30,000 32,400 34,992 37,791 81,585 176,137
1978 '0,000 32,400 340992 75,542 1631090
1979 % 300000 32,E (9,946 151,009
19981 6594,9685 1291466
19983 51;415 11iA9;~
19985 G 44'o~5 92' 6774
198$'6 44;84 88;112
i
19 341999'z 75425
1985 32,4oo 690 946
1990 309000 9765
1 1991 "0966
1992
1993 51, x+13 '
1994 47,605
199996544079
'
814
1997 40
37,
1998 1191
9992
199 32,400
2000 302000
Total Increase in c%md $30,000 WA00 $979392 $135,183 $175,997 X20,076 X67,681 :319,094 074,620 $,434,588 54990353 $%M99
$1,6630643 $4,026,259
For Year 6houA at Head
of Column
'
i
nu cowarr
• Y' F1 4
v ? A ww- i.. w~ p, . a 'r?'♦ ,r CC h, i. r''4 M•I;P
79 1
77
e y
F
n
. Y 6 •wl^ FIREUN r8 RELIEF At b_RE'YTR£MENT FUND OY DENTON, TE'dA8
Tabulation of Reserves for individuals Receiving Benef
26642 D£NTON FIREMEN RET 6% NO N0•~' 6X--••-2-1-70 PAGE 410. 001
900001 R C SMITH M 61084 6w08-O8 29472 351204 1924.667 0000 F 13 •9126 1y#241 RETIRED
900002 C E SMITH M 63.417 9-0106 19200 119357 4 0090 • 9•664 RETIRED
900003 f GRAHAM M 679417 9-01-02 300 49280 1922.667 0000 F 09 160000 190268 RETIRED
900004 J CLARK M 67.917 9-01-02 300 39551 19049667 e000 F 51 1.0000 11.536 RETIRED
900005 N A MIXON M 58084° 12~20~11 _ 300 41190 1917.667 6000 F 32 100000 13.967 RETIRED
910001 N M COOK F 67.417 9-0102 2013 191599 • 0000 • 9.736 RET1REp
910002 t E SMITH F 60.417 9-01009 200 Z•292 • 0000 4 11062 R TIRED
.4~0~'~12 ' " I X515 181347 • 8060- • • 12.119 „RtTiRED
910003 A M SMITH f $7 M7
910004 F MINNERLY F 69#417 9001+00 200 1+837 • 6000 1 94187 RETIRED
RETIRED 9+090 1
OVERAGE VESTTE 30 +
RM - - 8800
Aft No Vim (ts rsai--- ~ 800
fib 3....-....._ottKweb~~+ ; • ° . ,
T tal modroa
Total Anngsl
Benet
1
i
COWAW
w .'F'IR}WN'S RELIEF AND ..I1lmwr mm
• OF DEMN, TEXAS
ACTUARIAL ASSUMPTIONS
For Valuation as of February 1. 1970
The various rates shown below were adopted upon obaervini: the results of
actuarial investigations made involving the actual experience of the fire departments
of numerous cities in Texas and other parts of the United States. The various rates
investigated which involve termination of employment were the rates of death, rates of
disability, rates of withdrawal from service (other than by death or disability) and
service retirement ages. In addition appropriate salary scales Nere used for com-
putation of benefits under the proposed planse
mortality:
According to the "1965 Projected Annuity Mortality Table" as deve:nped and named by
The Wyatt Congsany. This table bar, derived from a published table 016A IV) which vas
prepared on the basis of certain group insurance and annuity mortality statistics
thibugh 1950; the published table contained a loading as a basic safety margin and
fo#- groups with an inherently lighter mortality experience than tho average, which
loading was removed; and then, ir. order to take into account the Aiture improvement
in mortality, Scale 0 (allied to said published table) was used in'piblection to
1965.
~Se Year Dtath Rates uer. 1.0Xb MexberS '
20 .574
25 .706
30 .923
40 1.280
40 1,863
45 3.336
50 6.032
55 .724
60 U92
65 22.750
Interest to be Earned b Fund: Coats sham assuming interest earnintp compounded
annually of , and .
Allowance for Expenaea or Contingenciesl None
. abilitys The rates of disability are 200% of those in accordance with the 1952
Intercompany Study, Period 2, Benefit 5, published in TSA VI, page 166.
Ada Annual Rate of Disability per 1.000 Members
20 1.52
25 2.00
30 2 s24
4505 2 %
3.28
45 4.42
50 6.94
-TH3t 619-M
1 .r ♦ o rN 1' t a, { T + Y
4} r
He Withdrawal Rates: Withdrawal rates were used in accordance with tables per
fo g illustrative exuVle:
3hO Table
6a Yearly Mithdrawil Rates per 100 Members
20 14.9
25 8.gg
30 4.4
35 1.
40 04
45 0
50 0
55 and Over 0
Salary Scales:
Salary scales were used in whirb it%rAs assumed that future compensation
would increase in such a manner that the fipa'l five-year adarage N-inual compensation
would bear the folloving'ratio to the present annual compensation.
Attained Average Final Annual Compensation at Age 65
Age Expx reseiad as a _Percentage of Preset:t Annual Com1aensation
S 20 470%
25 396
35 281
445 136
50 168
55 141
60 119
Remarriage Rates: Baocd on The 1962 Railroad Retirement Board Female Mortality and
Remarriage Tables as published in Volume XMO Fart 1s of the Transactions, Society
of Actuaries. Life annuity values for the xidoM'b.benefits vere multiplied by the
factors below Lu account for the cessation of benefits upo. remarriage of the widow.
Age of Reduction
Widow 76"tor
25 .464
330 .594
40 .8818
45 .885
50 *927
60 0955
zx. ~ oo►awMr
Q thodt
Retirement plan costs are computed under the entry-age-normal cost method.
Under this method, cost factors are developed for (1) normal, cost, (2) gross actuarial
defioiency, cnd (3) net actuarial deficiency. M explanation of these terms is given
belgw.
The normal cost is the product of a percent and current annual, pay. This
percent, vhleb is expected to remain level, is obtained by dividing the present
value of prospective benefits by the present value of prospective salaries. The
norw^l coot is an amrnmt which vould be required to keep the plan fully funded (a
idly funded plan is xhere the ±•sets are equal to the gross actuarial deficiency) r
if the assets on hand at the ;`tinning of the year were equal, to the gross actuarial
deficiency at that date.
The gross actuarial deficiency is the accumulation of normal cost for all
years from the date of emplaiment to the date of actuarial report, i.e., the accumula-
tion of normal cost during the years of past service. The calculation of both the
no ml cost and the gross actuarial deficiency is performed on an individual life-
b~-life basis and is based on the provisions of the plan and the actuarial assw*tiona
in effect as of the date of actuarial valuation.
The net actuarial deficiency is the gross actuarial deficiency reduced
by the assets held in trust for retirement plan benefits.
nu WOW ao60
,utr