Report · FSC · 4 Apr 2024
The Financial Services Commission of Jamaica surveyed 64 actuarial valuation reports for defined benefit pension plans from 2020 to 2022 to document prevailing funding methodologies and demographic and economic assumptions. The analysis reveals that the Attained Age method was the most widely used funding approach, while nominal discount rates ranged from 6.0% to 10.0% and exhibited an upward trend alongside salary increase assumptions averaging 8.0%. Although 90.6% of the surveyed plans reported funding surpluses, the report highlights significant variability in mortality tables, pension increase provisions, and administrative expense margins, with no explicit adverse deviation margins disclosed across the examined valuations.
REPORT ON THE METHODOLOGIES AND ASSUMPTIONS USED IN THE ACTUARIAL VALUATION REPORTS FOR DEFINED BENEFIT PLANS WITH VALUATION DATES BETWEEN JANUARY 1, 2020, AND DECEMBER 31, 2022 Prepared by: The Actuarial Division Financial Services Commission March 2024 AR-ADVI-2024/04-0004
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Acknowledgment
The Financial Services Commission (FSC) would like to express gratitude to the members of the Pensions, Records and Actuarial Divisions. The Pensions Division assisted in collating and providing the list of applicable defined benefit pension plans over the review period. The Records Division provided assistance by supplying physical copies of the plans where necessary. The Actuarial Division completed the analysis on the data, authored and peer reviewed the report. The members of the Actuarial Division involved in the project are:
Shavane Clarke
Angela Beckford
Bradley Dodd
Jordan Ashman
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Executive Summary
There are two main classifications for pension plans: Defined Benefit (DB) and Defined Contributions (DC). For DB plans, benefits payable at retirement are determined using a pre-defined formula contained in the plans’ trust deed and rules1 which factors years of service, accrual factor and salary. A plan’s actuary is responsible for setting the demographic and economic assumptions which will be used to determine the DB plan’s liabilities. This report provides the results of a survey of funding methodologies, demographic and economic assumptions used in defined benefit plan valuations that were conducted between January 1, 2020, and December 31, 2022, inclusive. The aim of this paper is to increase awareness among members of plans, trustees, administrators, investment managers and other pension industry professionals as well as the general public about the range of actuarial practice in Jamaica. Sixty-four (64) actuarial valuation reports were examined. Twenty-three (23) plans were valued in 2020, 26 in 2021 and the remaining 15 in 2022. The reports were prepared by 5 qualified actuaries, all of whom are either Fellows of the Society of Actuaries or Fellows of the Institute and Faculty of Actuaries. Highlighted in the table below are the main findings of the survey. Assumption Findings Funding Methodology Five funding methodologies were used; the Attained Age Method wasthe most prevalent method followed by the Projected Unit Cost Method. Discount Rates Nominal discount rates varied considerably, ranging between 6.0% and 10.0% and were higher than the ultimate risk-free rates determined by the FSC. There was an upward trend in the discount rate assumptions used by the actuaries over the 3-year period. Salary Increase Salary increase assumptions were primarily influenced by experience studies, IAS19 requirements/assumptions, and inflation. The most frequently used salary increase assumption was 8.0%. Discount rates less salary increases Majority of the surveyed plans had a net positive difference between discount rate and salary increase assumptions. The expectation of higher salary increases in 2022 resulted in lower net discount rates for that valuation year. Mortality Pre-retirement (active member) base mortality assumptions varied significantly. Standard tables developed by actuarial organizations were used as the bases for post-retirement (pensioner) mortality assumptions. Three valuations had no post-retirement mortality improvement assumptions. The Choice of Actuarial Funding Methods for Funded Defined Benefit Pension Schemes by Onwonga Ogari
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Assumption Findings
In-Service Termination
Rates other than
Mortality
Withdrawal and Ill-health retirement assumptions were based on specimen rates developed by actuaries. These assumptions were employed more frequently in large plans. Less than 20% of plans had an early retirement assumption while none of the valuations made provisions for late retirement. Pension Increase Most pension plans did not guarantee pension increases, so actuaries had no increase assumptions. Among the plans with increases, rates ranged from 1.0% to 5.0%. Expense Over 90% of the surveyed plans had an explicit expense assumption. Administrative expenses as a percentage of members’ pensionable salaries ranged between 0.5% to 6.8% over the three-year period. This metric increased sharply after 2020. Margins for Adverse Deviation No explicit margins were disclosed in the reports examined. The results of the last study can be found by clicking here to aid in comparative analysis.
Table of Contents
Acknowledgment.....................................................................................................................................I Executive Summary.................................................................................................................................II
Table of Contents....................................................................................................................................1
Section 1: Introduction ...........................................................................................................................2
Objective.............................................................................................................................................2
Background .........................................................................................................................................2
Section 2: Data........................................................................................................................................3
Section 3: Structure of the Report..........................................................................................................4
Section 4: Funding Methodology............................................................................................................5
Section 5: Discount Rate .........................................................................................................................6
Section 6: Salary Increase .......................................................................................................................7
Section 7: Relationship Between Discount Rate and Salary Increase Assumption ................................8
Section 8: Mortality Assumptions...........................................................................................................9
Mortality Base Assumptions...............................................................................................................9
Mortality Improvement Assumptions...............................................................................................10
Section 9: In-Service Termination Rates other than Mortality.............................................................11
Section 10: Pension Increase ................................................................................................................12
Section 11: Administrative Expense Assumption .................................................................................13
Section 12: Margins for Adverse Deviation ..........................................................................................15
Appendix 1 – Data Set (Demographic Data) .........................................................................................16
Actuarial Valuation Reports Conducted in 2020...............................................................................16
Actuarial Valuation Reports Conducted in 2021...............................................................................17
Actuarial Valuation Reports Conducted in 2022...............................................................................18
Appendix 2 – Data Set (Methodologies & Assumptions)......................................................................19
Actuarial Valuation Reports Conducted in 2020...............................................................................19
Actuarial Valuation Reports Conducted in 2021...............................................................................22
Actuarial Valuation Reports Conducted in 2022...............................................................................25
Appendix 3 – Definitions of Funding Methodologies Used by Actuaries .............................................27
Appendix 4– How to Read a Box and Whisker Plot ..............................................................................28
AR-ADVI-2024/04-0004
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Section 1: Introduction
Objective
This report aims to present the findings of a survey conducted on the funding levels, valuation methodologies, demographic factors, and economic assumptions utilized in the assessment of Defined Benefit (DB) plans from January 1, 2020, to December 31, 2022, inclusively. It represents the third instalment in a series of surveys administered by the Financial Services Commission (FSC). The preceding two reports examined Actuarial Valuation Reports (AVRs) spanning the following valuation periods:
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Section 2: Data
Sixty-four (64) AVRs of DB Plans were examined. Twenty-three (23) plans had valuation dates in 2020, 26 in 2021 and the remaining 15 in 2022. Plans of varying sizes were included in the data set. In terms of membership, 59.4% (38 plans) of the 64 plans were “small”, that is, having less than 100 active members while the remaining 40.6% (26 plans) were large. Fund assets ranged from $67 million to $76 billion, with the median being $1.2 billion. Figure 1 illustrates the distribution of plans by fund size.
Figure 1: Distribution of Plans by Fund Size and Membership
From the scatterplot in Figure 1, it is evident that there is a strong positive correlation between the number of active members in a plan and the total plan assets, i.e. as the number of active members increases, the total assets also increase. Statistical analysis of the data indicates a correlation of 0.692 . In addition, the column chart in Figure 1 indicates that the distribution of plans by their fund size is right skewed, implying that majority of the plans have assets that are smaller than the median. Actuarial assumptions such as mortality, salary escalation, and discount rates significantly influence the funding level of pension schemes. Graph 1 overleaf provides a visual representation of the funding levels of the plans surveyed in this report. 2 The correlation stated is based on the Pearson Correlation Coefficient (PCC). The PCC ranges between -1 and 1 and measures the strength and direction between two variables. 0% 5% 10% 15% 20% % of Total Plans Billions Distribution of Plans by Fund Size
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Graph 1: Funding Levels of 64 Defined Benefit Pension Plans Displayed by Active Membership Size From the survey, 90.6% (58 of 64) of the plans were in a surplus; six (6) plans had funding levels below 100%, ranging from 71.0% to 99.0%. Four (4) of the 6 underfunded plans were small. A breakdown of the data is included in Appendices 1 and 2. The AVRs were prepared by five (5) actuaries, all of whom are either Fellows of the Society of Actuaries or Fellows of the Institute and Faculty of Actuaries. All the actuaries are Ordinary Members of the Caribbean Actuarial Association (CAA)3 .
Section 3: Structure of the Report
The key findings of the survey are presented in the following sections.
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Section 4: Funding Methodology
The Funding Method of a pension plan represents the payment or budgetary framework through which benefit payments are financed4 . It does not alter the overall true cost of the plan; rather, it serves as a mechanism for distributing the actuarial present value of projected benefits (and expenses, if applicable) over time, typically in the form of a normal cost and an actuarial accrued liability5 . The normal cost is influenced by factors such as the chosen funding methodology and the demographic composition of the plan’s membership (e.g., age, gender, pensionable salary). These variables vary over time and ultimately lead to fluctuations in the normal cost. In the valuations surveyed, five distinct funding methodologies were identified: the Attained Age (AA) method, Aggregate Attained Age (AAA) Method, Current Unit Actuarial Cost (CUC) Method, Projected Unit Cost (PUC) Method and Entry Age Normal (EAN) Method. Kindly refer to Appendix 3 for explanations of the different funding methodologies used by the actuaries in the study. Graph 2 illustrates the distribution of funding methods among the surveyed plans categorized by membership size. Among small plans, the AA Method was the preferred methodology, representing 73.7% of the funding methodology of small plans (used 2.8 times more than the other funding techniques combined). Among large plans, the AA method retained its dominance, however, by a small margin. The PUC method was used 38% of the time, the same level recorded in the 2022 study. The EAN and CUC methods were each used in only one plan. Graph 2: Distribution of Funding Methods by Size of Membership Fundamentals of Pension Funding (soa.org) : https://www.soa.org/globalassets/assets/files/resources/essaysmonographs/50th-anniversary/m-av99-1-02.pdf 5 http://www.actuarialstandardsboard.org/asops/asop-no-4-measuring-pension-obligations-and-determining-pensionplan-costs-or-contributions/#section-2-definitions 0% 20% 40% 60% 80% Small < 100 active members Large >= 100 active members Total % of Total Plans in Size Category Plan Size Distribution of Funding Methods by Size of Plans Attained Age Aggregate Attained Age Cost Projected Unit Credit Cost Entry Age Normal Method Current Unit Actuarial Cost
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Section 5: Discount Rate
In actuarial valuations, the discount rate plays an important role in computing plan liabilities, that is, determining the present value of future benefits. Employing a rate that is excessively high may reduce the estimate of plan liabilities and decrease required contributions, however, it will also increase the risk that the plan might fail to meet its future obligations whenever they become due. Conversely, utilizing an overly conversative rate has the advantage of enhancing benefit security, but leads to the possibility of imposing undue financial strain on the employer/sponsor. When setting the discount rate assumption, the actuary considers, among other things, the plan’s current and target asset mix as indicated in its Statement of Investment Policies and Procedures (SIPP), the expected long-term return/yield of plan assets, expected investment expenses, and economic indicators such as long-term nominal and real interest rates and inflation. Graphs 3-5 provide a comparative analysis of the assumed nominal net discount rates for the years 2020, 2021 and 2022 against the FSC’s ultimate risk-free rate6 (URFR) as at the end of the respective years. Given the pension funds’ diversified nature with substantial holdings in equities and corporate debentures, it is not surprising to observe assumed long-term discount rates which compare favourably to the URFR. Also, as one moves from Graph 3 to 4 discount rates trend upwards, a move that is consistent with Jamaica’s post pandemic economic environment which features higher rates of inflation and rising interest rates. Graphs 3-5: Nominal Discount Rates by Valuation Year 6 A theoretical interest rate that investors could earn on an investment with zero risk over an infinite time horizon. The URFR developed by the FSC is based on historical GDP growth and midpoint of target inflation as set by the BOJ.
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Section 6: Salary Increase
Rate of salary increase is the pay increase assumption used to project the future pay levels of each current active plan participant.7 The rate reflects expected salary experience based on information supplied by a sponsor. This assumption is the second most important assumption made in connection with a pension valuation. A higher salary increase assumption will lead to a higher expected value of future benefits which ultimately results in an elevated defined benefit obligation. The salary increase assumption can be influenced by, among others, the following factors:
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Section 7: Relationship Between Discount Rate and Salary
Increase Assumption
Some actuarial assumptions are inter-related.
For the valuation of defined benefit plans, the discount rate net of salary increase assumption is as important as each of the assumptions on their own. If the salary increase assumption exceeds the discount rate assumption, it implies that future pension obligations are growing at a faster pace than the rate at which they are discounted. This scenario may lead to higher pension liabilities, increased funding requirements for the plan sponsor and erosion of surplus. Conversely, if the discount rate assumption surpasses the salary increase assumption, pension liabilities and funding requirements may be reduced. Graph 7 is a grouped boxplot that displays the distributions of the difference between the two assumptions by valuation year. Graph 7: Relationship Between Discount Rate and Salary Increase Assumptions It shows that the 2022 boxplot has shifted downwards with the mean (X on boxplot) falling from 1.27% to 0.9%. The shift reflects the expectation of higher salary increases relative to discount rates and the greater burden being placed on sponsors to fund the liabilities. Across the three years, the net rates ranged from -1.0% to 2.5%.
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Section 8: Mortality Assumptions
A mortality rate is defined as a measure of the frequency of the occurrence of death in a specific population during a designated interval.8 Mortality rates vary by factors such as age, gender and type of retirement (healthy or disabled).9
Most plans base the mortality rates on a standard table published by a reputable agency, such as Society of Actuaries and Institute and Faculty of Actuaries, whose characteristics are similar to the plan being valued.10 If a plan is large and its data credible, the actuary may opt to construct mortality tables based on the plan’s own experience. To account for how mortality rates improve over time, projection scales, fixed-year projections, setbacks (adjusting for age by using younger ages to reference mortality rates in tables) or fixed margins to existing morality rate tables may be used.
Table 1 details the pre- and post-retirement mortality assumptions used in the valuations examined
in the study. Across valuations, pensioner mortality assumptions were consistently derived from standard mortality tables, while a combination of standard tables and rates provided by the actuary were utilized for active members. In 26 valuations, actuaries assumed no pre-retirement mortality. Twenty-two of these plans were small. In 25 of the AVRs, the actuaries changed their post-retirement mortality assumption table from the table used in the previous valuation. Eleven (11) of the changes were from the GAM94 to the GAM94S table, while 14 were from the GAM94 to RP-2014 Pensioner table. Mortality Table Pre-Retirement (Active Members) Post-Retirement (Pensioner) None assumed 26 - Retirement Plan 2014 Employee Rates (RP-2014 Emp) 16 - Retirement Plan 2014 Pensioner Rates (RP-2014 Pens) - 16 1994 Group Annuity Mortality Table (GAM94) - 18 1994 Group Annuity Mortality Table Static (GAM94S) 7 30 Tables supplied by actuary 13 - A1967-70 Table for Assured Lives 2 - Total 64 64
Table 1: Pre- and Post- Retirement Base Mortality Assumption
8 https://www.cdc.gov/csels/dsepd/ss1978/lesson3/section3.html SOA Assessment and Selection of Actuarial Assumptions for Measuring Pension Obligations by Marilyn Oliver, FSA, 2009:
https://www.soa.org/globalassets/assets/files/edu/edu-2009-fall-ea-assess-sn.pdf 10 IBID
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A comparison of the mortality tables used in the valuations is outlined in Table 2. The rates supplied by the plan actuary are heavier than those in the standard tables, and, at the higher ages (i.e. 60 years and over), the older GAM94 and GAM94S tables have higher rates than the RP-2014 Pensioner table. Mortality Rates per 1000 lives Males Females And Age (yrs.) Rates supplied RP-2014 Emp. RP-2014 Pen. GAM94 GAM94S Rates Supplied RP-2014 Emp. RP-2014 Pens. GAM94 GAM94S 25 0.8 0.5 0.7 0.7 0.6 0.2 0.3 0.3 30 0.9 0.5 0.9 0.8 0.7 0.2 0.4 0.4 35 1.1 0.5 0.9 0.3 0.5 0.5 40 1.5 0.6 1.2 1.1 1.4 0.4 0.8 0.7 45 2.7 1.0 1.7 1.6 1.9 0.7 1.0 1.0 50 5.4 1.7 4.1 2.8 2.6 3.2 1.1 2.8 1.5 1.4 55 8.7 2.8 5.7 4.8 4.4 5.3 1.7 3.6 2.5 2.3 60 14.0 4.7 7.8 8.6 8.0 8.6 2.4 5.2 4.8 4.4 65 8.3 11.0 15.6 14.5 3.7 8.0 9.3 8.6 70 13.9 16.8 25.5 23.7 6.3 12.9 14.8 13.7 75 23.2 26.8 40.0 37.2 10.8 20.9 24.4 22.7 80 38.8 44.7 66.7 62.0 18.4 34.8 42.4 39.4 85 77.5 104.6 97.2 60.5 72.8 67.7 90 135.9 164.4 152.9 107.1 125.0 186.2
Table 2: Comparison of Mortality Rates at selected ages
Table 3 sets out the assumptions for mortality improvement used in valuations in the study. An explicit
allowance was made for pre-retirement mortality in 20 valuations. Five (5) valuations used the mortality improvement that is already loaded in the GAM94S table11 . For post-retirement mortality, explicit assumptions were made in 34 valuations while 27 used the improvement included in the GAM94S table. Three AVRs used the GAM94 table as the base table with no post-retirement improvements. Mortality Improvement Pre-Retirement (Active Members) Post-Retirement (Pensioner) SOA MP-2014 Scale 16 16 Age Rated Down by 4 years 2 - Age Rated Down by 5 years 2 18 Included in GAM94S 5 27 None Assumed 39 3 Total 64 64
Table 3: Pre- and Post- Retirement Mortality Improvement Assumptions Across 64 DB Plans
11 The two valuations that had a pre-retirement mortality improvement of rating down age by 5 years also used GAM94S as the base pre-retirement table.
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Section 9: In-Service Termination Rates other than Mortality
In-service termination rates are the rates at which members leave the plan as a result of termination, ill-health or retirement (early, normal or late). If a plan is sufficiently large and the data is credible, experience studies may be undertaken to develop termination rates for the plan. From our review, we observed that:
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Section 10: Pension Increase
The Pensions (Superannuation Funds and Retirement Schemes) Act and corollary regulations do not require pension plans to guarantee a level of pension increases to preserve purchasing power. Trustees are usually given the discretion to augment benefits with or without the permission of the sponsor in the plan’s constitutive documents. Twelve plans (18.8%) guaranteed a pension increase in their Trust Deeds and Rules; with rates ranging from 1.0% to 5.0%. The remaining 52 plans did not guarantee increases, so no uplifts were assumed.
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Section 11: Administrative Expense Assumption
Administrative expenses include insurance advisory, accounting, auditing, actuarial, plan administration, legal, and trustee services but exclude investment related expenses and benefit payments or lump sums paid to plan participants and their beneficiaries. In setting the administrative expense assumptions, the actuaries stated that they considered the plan’s historical experience. Some further stated that the payment of expenses depended on the solvency of the fund. They assumed that if a plan had a surplus, expenses would be deducted from the fund. If a plan was in deficit, it was assumed that expenses would be paid by the sponsor. Of the 64 AVRs surveyed, 58 had an explicit expense assumption expressed as a percentage of either:
(i) members’ pensionable salaries, (ii) employee and employer contributions (joint contributions), (iii) members’ contributions, (iv) future service liabilities or (v) plan’s service cost. For the remaining 6 plans, the discount rate assumed included an adjustment for expenses. Graph 9 shows the distribution of the expense bases used. Graph 9: Bases for Expense Assumptions To compare expense assumptions, the bases were converted to the percent of members’ salaries. The range of percentages are shown in the boxplots in Graph 10. The plots shows that the percentages range from 0.5% to 6.8%. Table 5 below outlines the mean, median, minimum, and maximum percentages across each year as illustrated in Graph 10. The small circles above the boxplots represent outliers (observations that deviate significantly from other data points). 2020 2021 2022 Triennial Period (2020-2022) (%) (%) (%) (%) Mean 1.4 2.1 1.6 1.7 Median 1.5 Minimum 0.5 0.5 0.9 0.5 Maximum 3.0 6.8 3.9 6.8
Table 5: Statistical Properties of Administrative Expenses Expressed as a % of
Members’ Pensionable Salaries in DB Plans
0%
10%
20%
30%
40%
50%
60%
70%
80%
Members'
Pensionable
Salaries
Included In
Discount Rate
Joint
Contributions
Future Service
Liabilities
Members' Basic
Contributions
Service Cost
% of Total Plans
Basis for Expense Assumptions
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Graph 10: Administrative Expense Assumptions expressed as a Percentage of Members’ Pensionable Salaries From Graph 10 and Table 5 it is noticeable that the median expense assumption is consistent at 1.5% across all 3 years. However, there is a general increase in the administrative expenses as a percentage of pensionable salaries after 2020. This indicates that expenses are rising faster than pension salaries and is consistent with increased inflation12 experienced during the period. 12 Inflation » Bank of Jamaica (boj.org.jm) : https://boj.org.jm/statistics/real-sector/inflation/
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Section 12: Margins for Adverse Deviation
The CAA actuarial standards require actuaries to consider the extent it is appropriate to adjust assumptions with margins for adverse deviation. Margins are incorporated in the work of an actuary to make allowance for uncertainty in the data, assumptions, or methodology. Margins may be implicit (included in the assumption) or explicit (disclosed separately from the best estimate assumption). No explicit margins were disclosed in the reports examined.
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Appendix 1 – Data Set (Demographic Data)
Actuarial Valuation Reports Conducted in 2020
Plan Active
Members
Assets
(millions)
Funding
Ratio (%)
1 12 519 169.1
2 170 1,377 142.4
3 200 2,767 98.5
4 823 3,077 123.0
5 90 95 152.9
6 312 33,408 100.5
7 1,549 76,105 176.7
8 145 2,086 238.2
9 70 1,095 111.4
10 54 746 128.1
11 105 754 201.0
12 922 13,079 172.1
13 50 326 113.0
14 388 8,221 140.9
15 57 875 102.8
16 104 3,731 169.2
17 80 5,777 210.2
18 64 518 127.9
19 246 4,441 129.2
20 68 220 133.1
21 266 2,264 161.0
22 202 1,939 106.4
23 84 769 144.0
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Actuarial Valuation Reports Conducted in 2021
Plan Active
Members
Assets
(millions)
Funding
Ratio (%)
24 55 293 178.2
25 7 67 130.3
26 22 94 118.1
27 52 457 205.9
28 65 1,987 571.6
29 26 787 185.4
30 51 381 101.8
31 239 1,800 118.1
32 19 441 202.0
33 36 446 241.8
34 40 1,145 145.2
35 9 330 150.7
36 129 7,209 155.5
37 136 1,180 139.1
38 49 3,215 253.4
39 54 3,050 267.9
40 515 4,321 132.1
41 44 1,154 192.2
42 90 2,044 259.7
43 232 14,670 108.0
44 16 454 79.6
45 80 802 94.6
46 92 6,776 149.0
47 106 2,514 145.7
48 26 1,214 218.7
49 50 872 152.2
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Actuarial Valuation Reports Conducted in 2022
Plan Active
Members
Assets
(millions)
Funding
Ratio (%)
50 79 395 169.2
51 452 2,202 124.2
52 326 4,285 70.9
53 1,265 5,321 124.0
54 172 3,822 189.0
55 39 512 241.4
56 29 171 119.1
57 46 379 109.2
58 9 224 76.5
59 545 7,519 135.5
60 45 1,401 116.1
61 59 927 100.3
62 63 330 95.1
63 431 29,466 141.6
64 167 1,597 109.0
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Appendix 2 – Data Set (Methodologies & Assumptions)
Actuarial Valuation Reports Conducted in 2020
Plan Funding
Method
Inflation
Rate
Nominal
Discount
Rate
Mortality - preretirement
Mortality - postretirement
Withdrawal from
Service
Illhealth
Early
Retirement
Nominal
Salary
Increases
Nominal
Pension
Increase
Expense
Attained
Age
Method
7.0% 9.0% none GAM94S none assumed none assumed none 8.0% 0.0% 2% of salary Attained Age Method 7.0% 9.0% GAM94S GAM94S specimen rates none assumed none 8.0% 0.0% 1% of salary Projected Unit Credit Cost 5.0% 7.0% specimen rates GAM94 specimen rates specimen rates none 5.5% 0.0% 1.2% of members' pensionable earnings Projected Unit Credit Cost not stated 7.0% RP-2014 Employee rates RP-2014 Annuitant rates none assumed none assumed none 6.0% 0.0% included in discount rate Attained Age Method 7.0% 9.0% none GAM94S none assumed none assumed none 8.0% 0.0% 1% of salary Projected Unit Credit Cost 4.0% 6.0% RP-2014 Employee rates RP-2014 Annuitant rates specimen rates none assumed NRA reduced 5.0% 2.5% included in discount rate Aggregate Attained Age not stated 8.0% RP-2014 Employee rates RP-2014 Annuitant rates specimen rates specimen rates specimen rates 7.0% 3.8% 1.25% Pensionable Salaries Projected Unit Credit Cost 5.0% 7.0% specimen rates GAM94 specimen rates none assumed none 5.5% 0.0% 1.6% of members'
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Plan Funding
Method
Inflation
Rate
Nominal
Discount
Rate
Mortality
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Plan Funding
Method
Inflation
Rate
Nominal
Discount
Rate
Mortality - preretirement
Mortality - postretirement
Withdrawal from
Service
Illhealth
Early
Retirement
Nominal
Salary
Increases
Nominal
Pension
Increase
Expense pensionable earnings
Projected
Unit Credit
Cost
5.0% 7.0% specimen rates
GAM94 specimen rates specimen rates none 5.0% 3.0% 3% of members' pensionable earnings Projected Unit Credit Cost not stated 8.0% RP-2014 Employee rates RP-2014 Annuitant rates specimen rates none assumed none 6.0% 0.0% 30% members' basic contributions Projected Unit Credit Cost not stated 8.0% RP-2014 Employee rates RP-2014 Annuitant rates specimen rates none assumed none 6.5% 0.0% 1.5% members' pensionable earnings Attained Age Method 7.0% 9.0% none GAM94S none assumed none assumed none 8.0% 0.0% 2% of salary Attained Age Method 7.0% 9.0% GAM94S GAM94S specimen rates none assumed none 8.0% 0.0% 1% of salary Attained Age Method 7.0% 9.0% none GAM94S specimen rates none assumed none 8.0% 0.0% 0.5% of salary Attained Age Method 7.0% 9.0% none GAM94S none assumed none assumed none 8.0% 0.0% 1% of salary
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Actuarial Valuation Reports Conducted in 2021
Plan Funding
Method
Inflation
Rate
Nominal
Discount
Rate
Mortality - preretirement
Mortality - postretirement
Withdrawal from
Service
Illhealth
Early
Retirement
Nominal
Salary
Increases
Nominal
Pension
Increase
Expense
Aggregate
Attained
Age not stated 7.5%
RP-2014
Employee rates
RP-2014
Annuitant rates none assumed none assumed none 6.0% 0.0% 5% of future service liabilities Attained Age Method 7.0% 9.0% GAM94S GAM94S none assumed none assumed none 8.0% 0.0% 1.5% of salary Attained Age Method 7.0% 9.0% none GAM94S none assumed none assumed none 8.0% 0.0% 4.5% of salary Attained Age Method 7.0% 9.0% none GAM94S none assumed none assumed none 8.0% 0.0% 2% of salary Attained Age Method 7.0% 9.0% none GAM94S none assumed none assumed none 8.0% 0.0% 2% of salary Attained Age Method 5.0% 7.0% specimen rates GAM94 specimen rates specimen rates 10% loading 6.0% 5.0% 6% members' pensionable earnings Projected Unit Credit Cost not stated 8.0% RP-2014 Employee rates RP-2014 Annuitant rates none assumed none assumed none 6.5% 0.0% 4% of joint contributions Attained Age Method 7.0% 9.0% none GAM94 specimen rates none assumed none 8.0% 0.0% 1% of salary Attained Age Method 7.0% 9.0% none GAM94S none assumed none assumed none 8.0% 0.0% 2% of salary
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Plan Funding
Method
Inflation
Rate
Nominal
Discount
Rate
Mortality
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Plan Funding
Method
Inflation
Rate
Nominal
Discount
Rate
Mortality
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Actuarial Valuation Reports Conducted in 2022
Plan Funding
Method
Inflation
Rate
Nominal
Discount
Rate
Mortality - preretirement
Mortality - postretirement
Withdrawal from
Service
Ill-health Early
Retirement
Nominal
Salary
Increases
Nominal
Pension
Increase
Expense
Projected
Unit
Credit
Cost not stated 8.0%
RP-2014
Employee rates
RP-2014
Annuitant rates specimen rates none assumed none 6.0% 0.0% 7.5% of Joint Contributions Attained Age Method 5.0% 7.5% none GAM94 specimen rates loading of NRA Liability none 6.0% 0.0% 1.5% of members' pensionable salaries Attained Age Method 7.0% 9.0% GAM94S GAM94S specimen rates none assumed NRA reduced 10.0% 0.0% 1% of salary Attained Age Method 7.0% 9.0% GAM94S GAM94S specimen rates none assumed none 8.0% 0.0% 2% of salary Projected Unit Credit Cost 5.0% 7.0% specimen rates GAM94 specimen rates specimen rates 10% loading 6.0% 0.0% 2.6% members' pensionable earnings Attained Age Method 7.0% 9.0% none GAM94S none assumed none assumed none 8.0% 0.0% 2% of salary Attained Age Method 7.0% 9.0% none GAM94S none assumed none assumed none 8.0% 0.0% 1% of salary Attained Age Method 5.0% 7.0% specimen rates GAM94 specimen rates specimen rates none 5.0% 0.0% 3.9% of members' pensionable earnings
26 | P a g e
Plan Funding
Method
Inflation
Rate
Nominal
Discount
Rate
Mortality - preretirement
Mortality - postretirement
Withdrawal from
Service
Ill-health Early
Retirement
Nominal
Salary
Increases
Nominal
Pension
Increase
Expense
Projected
Unit
Credit
Cost not stated 7.0%
RP-2014
Employee rates
RP-2014
Annuitant rates none assumed none assumed none 6.0% 0.0% 5% of Joint Contributions Aggregat e Attained Age 5.5% 8.0% RP-2014 Employee rates RP-2014 Annuitant rates specimen rates none assumed none 7.5% 0.0% 7.5% of Joint Future Contributions Attained Age Method 7.0% 9.0% none GAM94S none assumed none assumed none 8.0% 0.0% 1.5% of salary Attained Age Method 7.0% 9.0% none GAM94S none assumed none assumed none 8.0% 0.0% 1% of salary Attained Age Method 7.0% 9.0% none GAM94S none assumed none assumed none 8.0% 0.0% 1.5% of salary Attained Age Method 6.5% 9.0% A67/70 GAM94 specimen rates specimen rates none 9.0% 5% (if exit or retire before March 31, 2021), 0% after 1.5% of members' pensionable earnings Projected Unit Credit Cost not stated 7.0% RP-2014 Employee rates RP-2014 Annuitant rates specimen rates none assumed NRA reduced 6.5% 0.0% 15% of Service Cost
27 | P a g e
Appendix 3 – Definitions of Funding Methodologies Used by
Actuaries
28 | P a g e
Appendix 4– How to Read a Box and Whisker Plot
Minimum Score - The lowest score, excluding outliers (shown at the end of the left whisker). Lower Quartile - Twenty-five percent of scores fall below the lower quartile value (also known as the first quartile). Median - The median marks the mid-point of the data and is shown by the line that divides the box into two parts (sometimes known as the second quartile). Half the scores are greater than or equal to this value and half are less. Upper Quartile - Seventy-five percent of the scores fall below the upper quartile value (also known as the third quartile). Thus, 25% of data are above this value. Maximum Score - The highest score, excluding outliers (shown at the end of the right whisker). Whiskers - The upper and lower whiskers represent scores outside the middle 50% (i.e., the lower 25% of scores and the upper 25% of scores). Interquartile Range (IQR) - This is the boxplot showing the middle 50% of scores (i.e., the range between the 25th and 75th percentile) Outliers – These are extreme values; values exceeding 1.5 times the IQR 15 https://www.simplypsychology.org/boxplots.html
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