Actuarial Report on the Government Annuities as at 31 March 2022

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    List of Tables

    1 Executive Summary

    1.1 Purpose of Report

    In accordance with section 15 of the Government Annuities Improvement Act (“the Improvement Act”) an actuarial valuation was conducted as at 31 March 2022 for purposes of determining the actuarial liabilities and financial position of the Government Annuities Account (“the Account”). Section 15 of the Improvement Act also states that any surplus or deficit emerging as a result of the actuarial valuation shall be reported and, in the case of a surplus, credited to the Federal Government’s Consolidated Revenue Fund (CRF) and charged to the Account or, in the case of a deficit, charged to the Federal Government’s CRF and credited to the Account.

    1.2 Data, Method and Assumptions

    Data on current retirees, beneficiaries, deferred members, premiums and benefit payments were provided by Employment and Social Development Canada (ESDC) and Service Canada. The Government Annuities Branch located in Bathurst administers the annuities. The data are from a reliable source. We have performed summary tests on the data, and have found that they are accurate, reliable and sufficient for the purposes of the valuation. A description of contract types and a summary of the data are shown in Appendix A and Appendix B of this report. The actuarial liabilities are the present value of expected future benefits, determined in accordance with accepted actuarial practice and statutory valuation assumptions. Subsection 3(4) of the Government Annuities Regulations (“the Regulations”) states that the actuarial liability is to be determined using an interest rate of 7% per annum and the mortality rates of the Annuity Table for 1983, as modified by Projection Scale G.

    1.3 Results

    The following table summarizes the results of the actuarial valuation as at 31 March 2022.

    Table 1 Results Overview
    blank As at 31 March 2022
    ($)
    Assets 67,976,070
    Liabilities 66,894,991
    Surplus (Deficit) 1,081,079
    blank Count Average Annual Pension
    ($)
    Vested Members 17,227 691
    Deferred Members 51 1,786
    Total 17,278 694

    1.4 Conclusion

    The surplus of $1,081,079 is credited to the Federal Government’s CRF and charged to the Account. The next valuation will be performed as at 31 March 2023.

    2 Introduction

    The Canadian Government Annuities Act of 1908 was one of the earliest significant pieces of social legislation in Canada. Its purpose was to encourage Canadians to prepare financially for their retirement. Government Annuities were purchased either by individuals or by employers as pension plans for their employees.

    By the 1960's, other social benefit plans, such as Old Age Security (OAS) and the Canada Pension Plan were introduced and began gaining importance in providing Canadians with basic retirement income. The government's recognition that retired Canadians could now be served by other social security programs as well as the private sector brought about the decision to disband the Annuities sales force. In 1975, an Act of Parliament formally ended the sale of Government Annuities. Employers, however, could register new employees under group contracts until 1979. The Government Annuities are not sponsored by the Government - meaning the Government has no fiduciary liability. Its responsibilities are limited to provide and secure benefits in accordance with each contract's provisions.

    The Annuities Branch continues to administer contracts under payment and those due to become payable, on behalf of clients from across Canada and around the world. The Account is not subject to any federal or provincial pension legislation; it is only subject to the Government Annuities Act, the Improvement Act and the Regulations. The assets and liabilities are shown in the Public Accounts of Canada. The assets are notional and are not subject to any investment policy or performance goals and objectives.

    The Office of the Chief Actuary (OCA), Office of the Superintendent of Financial Institutions Canada (OSFI), has the mandate of performing the annual actuarial valuation of the Account as of 31 March 2022. The purpose of the valuation is to establish the Account’s liabilities, notional assets, and financial position, based on the statutory valuation assumptions.

    3 Data

    3.1 Data Required

    Since the actuarial valuation determines both the assets and the liabilities, full details on the members as well as on the cash flows that occurred within the year are needed.

    3.2 Member Data

    Basic data on pensioners, beneficiaries and deferred members are provided by ESDC and Service Canada. The reports provided show the member data required to establish the liabilities: certificate number, maturity date, member, spouse and beneficiaries’ gender and dates of birth, annual pension amounts, and form of pension.

    The required data reports are VY4741 for vested members (pensioners) and GY5642 for deferred members (members with deferred rights).

    Notes on VY4741 Vested Data

    Additional pension amounts data are required from Service Canada concerning the continuing pensions for joint and survivor contracts with percentages other than 50% or 100%, as well as for reducing annuities. VY4741 data does not show the accurate continuing pension amounts for annuities of type 29, 37, and 70-79.

    Moreover, manual additions must be done, as the VY4741 report excludes certain members due to internal validation controls at Bathurst. The data related to this limited number of members were extracted from the VY5141 report. There were 29 such members as at 31 March 2022.

    Notes on GY5642 Deferred Data

    Pursuant to the Improvement Act which granted annual accrual of contributions accounts at 7% from 1 April 1975, the following table shows the multipliers that must be applied to the annual original pension amounts.

    Table 2 Multipliers for Deferred Pension Amounts
    Premium Series Original Interest Rate Multiplier
    4 4.0% 1.22
    5 3.0% 1.32
    6 3.5% 1.29
    7 4.0% 1.22
    8 5.0% 1.14

    These multipliers reflect the increase between the original interest rate applicable on the contracts and 7%. As the deferred members data only show the pension amounts prior to the enhancements, these multipliers are used to update the annual pensions.

    It can be seen that the methodology used to derive these multipliers granted higher increases to contracts with lower interest rates, and vice-versa. The objective sought at the time was to distribute the increases as equitably as possible.

    A reconciliation of pension amounts and membership status with last year’s membership has been performed. A detailed summary of membership data is shown in the Appendix B of this report.

    3.3 Asset Data

    Income consists of premiums received, funds reclaimed from the CRF for previously untraceable annuitants, notional earned interest and any transfer needed to cover the actuarial deficit. Payments and other charges represent matured annuities, commuted value of death benefits, premium refunds and withdrawals, and transfers to the CRF of actuarial surpluses and unclaimed annuities related to untraceable annuitants.

    All reports used to determine the value of assets are provided by ESDC.

    A list showing the names and short descriptions of the required reports is given in Appendix C of this report.

    The data used are considered to be sufficient and reliable for the purposes of the actuarial valuation.

    4 Methods and Assumptions

    4.1 Liability Valuation Method

    The actuarial liabilities are associated with two groups of members: vested and deferred. The vested group consists of the participants for whom the pensions are in payment as at 31 March 2022. The deferred group consists of members for whom payment of pensions will start in the future. The liabilities are the actuarial present value of future pension payments, the result of discounting the future expected benefits with interest and post-retirement mortality.

    4.2 Assumptions

    The interest and post-retirement mortality assumptions are statutory, as stated in section 15 of the Improvement Act and subsection 3(4) of the Regulations. Namely, the liabilities must be based on a rate of interest of 7% per annum and on the mortality rates of the Annuity Table for 1983, as modified by Projection Scale G, published in Transactions of the Society of Actuaries, Vol. XXXV (1983), at pages 882 and 883.

    Accordingly, the 1983 individual annuity mortality table (IAM83) is used for individual contracts and the 1983 group annuity mortality table (GAM83) is used for group contracts. Both tables are sex-distinct, and are projected for 15 years with Projection Scale G. Furthermore, for consistency with the methodology used to develop these mortality tables, the liabilities were calculated based on the annuitants’ attained age (age last) at the valuation date.

    Extracts from these mortality tables as well as associated life expectancies can be found in Appendix D of this report.

    4.3 Asset Valuation Method

    Since section 14 of the Government Annuities Act states that the monies received or paid under this act form part of the CRF, the assets are notional. Each year, any difference with the liabilities calculated is either credited (in the case of a surplus) or charged (in the case of a deficit) to the CRF, with a corresponding charge or credit to the Account. Following these adjustments, the assets value as at 1 April 2021 is equal to the 31 March 2021 liabilities. The assets value as at 31 March 2022 prior to any charge or credit to the CRF is obtained by adding interest at 7% on the 1 April 2021 value and adjusting for cash inflows and outflows also at 7% annual interest rate.

    5 Results

    5.1 Balance Sheet

    The following table presents a summary of the balance sheet of the Account for the 2022 and 2021 fiscal years.

    Table 3 Balance Sheet
    ($)
    Fiscal Year 2021-2022 2020-2021
    Assets as at 1 April 75,755,079 85,407,162
    Income
    Interest to 31 March
    4,822,098 5,438,538
    Premiums for Deferred Annuities
    3,359 72
    Unclaimed annuities recovered from CRF
    2,909 7,226
    Total Income 4,828,366 5,445,836
    Payments and Other Charges
    Payments to Vested Members:
    Vested Regular Annuity Payments
    12,531,186Table 3 Footnote 1 14,057,002Table 3 Footnote 2
    Vested Commuted Values
    32,940 80,058
    Total Payments to Vested Members:
    12,564,126 14,137,060
    Monies Refunded
    3,129 2,271
    Values Transferred to CRF (Vested & Deferred)
    40,120 75,789
    Total Payments and Other Charges 12,607,375 14,215,120
    Income Less Payments and Other Charges (7,779,009) (8,769,284)
    Assets as at 31 March 67,976,070 76,637,877
    Surplus charged to the Account and credited to the CRF (1,081,079) (882,798)
    Net Assets as at 31 March 66,894,991 75,755,079
    Actuarial Liabilities as at 31 March 66,894,991 75,755,079

    Table 3 Footnotes

    Table 3 Footnote 1

    Includes annuity and retroactive payments totalling $537 for members recovered from the CRF in 2021-2022.

    Return to table 3 footnote 1

    Table 3 Footnote 2

    Includes annuity and retroactive payments totalling $10,619 for members recovered from the CRF in 2020-2021.

    Return to table 3 footnote 2

    5.2 Calculation of Interest

    The following table outlines the calculation of the notional 7% annual interest credited to the Account for the 2022 and 2021 fiscal years.

    Table 4 Calculation of Interest
    ($)
    Fiscal Year 2021-2022 2020-2021
    Vested Members
    Interest on:
    Prescribed Assets as at 1 April of prior year
    5,221,914 5,875,819
    Maturities
    23,427 26,031
    CRF Recoveries
    168 408
    Less interest on:
    Annuity Payments
    (478,602) (537,225)
    Commuted Values
    (1,862) (2,938)
    Transfers to CRF
    0 0
    Total Vested Members 4,765,045 5,362,095
    Deferred Members
    Interest on:
    Prescribed Assets as at 1 April of prior year
    80,942 102,682
    Premiums
    212 1
    CRF Recoveries
    0 4
    Less interest on:
    Maturities
    (23,427) (26,031)
    Refunds
    (502) (201)
    Transfers to CRF
    (172) (12)
    Total Deferred Members 57,053 76,443
    Total Interest 4,822,098 5,438,538
     

    5.3 Development of Actuarial Liabilities

    The following table outlines the Account’s actuarial liabilities by members’ category as at 31 March of 2022 and 2021.

    Table 5 Development of Actuarial Liabilities
    Fiscal Year Contract Type 2021-2022
    ($)
    2020-2021
    ($)
    Vested Member
    Males, Ordinary Life 10 - 16 31,664,592 36,289,397
    Females, Ordinary Life 10 - 16 18,434,224 20,173,534
    Males, Guaranteed 21 - 29 7,880,889 8,875,497
    Females, Guaranteed 21 - 29 4,198,250 4,662,576
    Last Survivor 30 - 37 3,118,023 3,789,856
    Reducing at OAS 70 - 79 467,932 605,067
    Annuities Certain 50, 80 198,945 177,639
    Temporary Annuities 60 7,025 4,889
    Suspended Payments blank 25,367 20,310
    Vested Total blank 65,995,247 74,598,766
    Deferred Members
    Ordinary Life 10 47,950 44,514
    Males, Guaranteed 21 - 24 479,534 642,737
    Females, Guaranteed 21 - 24 313,535 412,659
    Refunds in Process blank nil 1,520
    Suspense Accounts Account 721 58,725 54,884
    Deferred Total blank 899,744 1,156,313
    Total Actuarial Liabilities blank 66,894,991 75,755,079

    6 Experience

    6.1 Analysis of Experience

    As there are no new contracts purchased under the Government Annuities Act, the main source of experience gains or losses is the mortality. It includes changes in expected future payments due to the death or survival of annuitants and the difference between actual and expected benefit payments during the year.

    The table below presents a reconciliation of the surplus between 31 March 2021 and 31 March 2022.

    Table 6 Gains (Losses)
    ($)
    Surplus as at 31 March 2021 nil
    Premiums paid with interest 3,570
    Vested members mortality 1,068,696
    Deferred members – retirements, mortality, refunds 11,923
    Transfers from CRF and other data changes (3,110)
    Surplus as at 31 March 2022 1,081,079

    6.2 Alternative Assumptions for Purposes of the Account’s Financial Statements, Prepared in Accordance with Section 4600 of Part IV of the CPA Canada Handbook – Accounting

    6.2.1 Mortality

    Following an external audit of the Account as at 31 March 2014, ESDC management asked the OCA to conduct a mortality experience study and to include the amount of the actuarial liabilities under experience-adjusted mortality rates in future Actuarial Reports on the Government Annuities.

    6.2.2 Discount Rate

    To promote greater comparability with other public service pension plans that are part of the Public Account of Canada, the liabilities shown in the Account’s financial statements is measured using a different discount rate than the prescribed interest rate of 7%. The alternative rate is established based on a yield curve approach. This yield curve is determined by reference to market yields at the end of the reporting period on Government of Canada Bonds and treasury bills.

    The OCA has determined that the liabilities as at 31 March 2022 under experience-adjusted mortality rates and the alternative discount rate is $81.6 million, which is $14.7 million higher than under the prescribed assumptions. More details are presented in Appendix E.

    7 Actuarial Opinion

    In our opinion, considering that this report was prepared pursuant to the Government Annuities Act and the Government Annuities Improvement Act:

    • the data on which this report is based are sufficient and reliable for the purposes of this report;
    • the assumptions used comply with legislative requirements;
    • the methods employed are appropriate for the purposes of this report; and
    • as at 31 March 2022, there is a surplus of $1,081,079 which is credited to the Federal Government’s Consolidated Revenue Fund and charged to the Government Annuities Account.

    This report has been prepared, and our opinion given, in accordance with accepted actuarial practice in Canada. As of the date of the signing of this report, we have not learned of any events that would have a material impact on the results presented in this report as at 31 March 2022.

    Mathieu Désy
    Fellow of the Canadian Institute of Actuaries
    Office of the Chief Actuary, OSFI

    Luc Léger
    Associate of the Canadian Institute of Actuaries
    Office of the Chief Actuary, OSFI

    Alice Chiu
    Associate of the Canadian Institute of Actuaries
    Office of the Chief Actuary, OSFI

    Ottawa, Canada
    31 August 2022

    Appendix A - Contract Types

    The following describes the annuities provisions as specified by the contracts:

    Ordinary Life: At maturity, this annuity is payable for as long as the annuitant lives, but at death the annuity ceases immediately and there are no death benefits.

    Guaranteed: The annuity under this contract is payable for life but it is guaranteed for a minimum period of 5, 10, 15 or 20 years.

    Contingent Survivor: This annuity is based on two lives. The annuity is payable to the principal annuitant for as long as he or she lives. At death, the annuity is payable to the survivor until his or her death.

    Joint and Last Survivor: This contract differs from the Contingent Survivor contract in that the annuity instalments are payable to both parties. After the death of one partner, the annuity is made payable to the survivor as long as he or she lives.

    Reducing Option: The Reducing Option is an arrangement whereby the level of the annuity purchased is paid at an increased amount from age 50 (or later) to age 65. At age 65, the annuity decreases by the amount of Old Age Security in effect at the date of maturity. The annuity is payable for life, with death benefits available for the duration of the guaranteed period, if there is one.

    The following describes the contract types:

    Single Life - No Guarantee (10 - 16)

    1. Ordinary
    2. Guarantee expired: on valuation change of 21 - 24
    3. From last or contingent survivor: 30, 35, 36, 37
    4. From last survivor guarantee expired: on first death of 31
    5. From reducing ordinary: on reduction of 70
    6. From reducing guaranteed: on reduction of 79, on valuation change of 29 or from 71-74 where reduction and end of guarantee coincide
    7. From reducing survivor: 36, 37

    Single Life with Guarantee (21 - 29)

    1. Guaranteed 5 years
    2. Guaranteed 10 years
    3. Guaranteed 15 years
    4. Guaranteed 20 years
    5. From 71-74 after reduction still within guarantee

    Joint Lives No Guarantee (30 - 37)

    1. Ordinary Last Survivor (100%)
    2. Last Survivor guarantee expired (100%)
    3. Contingent Survivor (100%)
    4. Contingent Survivor reducing by one half at death of Principal Annuitant (50%)
    5. Contingent Survivor reducing by any other amount at death of Principal Annuitant

    Annuities Certain (50 & 80)

    1. Certain level amount (Includes from 80 after reduction)
    2. Certain, reducing

    Temporary Annuities (60)

    1. Temporary

    Reducing Annuities (70 - 79)

    1. Ordinary, reducing
    2. Guaranteed 5 years, reducing
    3. Guaranteed 10 years, reducing
    4. Guaranteed 15 years, reducing
    5. Guaranteed 20 years, reducing
    6. From 71-74, guarantee expired before reduction

    Appendix B ― Membership Data

    B.1 Vested members at 31 March 2022

    Table 7 Contract Types 10-16: Vested Ordinary Life
    Age blank Males Females Total
    50-59 Average Pension 630 959 893
    Number 1 4 5
    Average Age 59.0 58.8 58.8
    60-69 Average Pension 965 918 939
    Number 62 78 140
    Average Age 66.1 66.6 66.4
    70-79 Average Pension 855 746 803
    Number 785 724 1,509
    Average Age 76.3 75.8 76.1
    80-89 Average Pension 648 551 618
    Number 5,202 2,330 7,532
    Average Age 85.3 85.1 85.2
    90-100 Average Pension 700 557 646
    Number 3,760 2,277 6,037
    Average Age 93.1 93.7 93.3
    100 + Average Pension 701 491 579
    Number 82 114 196
    Average Age 101.8 102.3 102.1
    Total Average Pension 686 583 649
    Total Number 9,892 5,527 15,419
    Total Average Age 87.6 87.5 87.5
    Table 8 Contract Types 21-29: Vested Guaranteed
    Age blank Males Females Total
    50-69 Average Pension 2,011 1,889 1,959
    Number 141 104 245
    Average Age 66.5 66.4 66.4
    Average guarantee 9.1 8.5 8.8
    70-79 Average Pension 1,482 1,186 1,390
    Number 376 171 547
    Average Age 74.6 74.4 74.5
    Average guarantee 5.0 4.6 4.9
    80-89 Average Pension 1,217 817 1,096
    Number 30 13 43
    Average Age 81.5 81.2 81.4
    Average guarantee 2.2 3.2 2.5
    Total Average Pension 1,604 1,423 1,542
    Total Number 547 288 835
    Average Age 72.9 71.8 72.5
    Average guarantee 5.9 6.0 5.9
    Table 9 Contract Types 30-37: Vested Joint & Survivor
    blank Males Females Total
    Total Average Pension 537 322 531
    Total Number 891 22 913
    Average Age 86.7 85.2 86.6
    Average Spouse Age 83.4 84.3 83.4
    Average Continuing Percentage 73% 70% 73%
    Table 10 Contract Types 50 & 80: Vested Certain
    blank Total
    Average Pension 1,283
    Number 41
    Average Certain Period 4.7
    Table 11 Contract Type 60: Vested Temporary
    blank Total
    Average Pension 828
    Number 3
    Average Age 61.7
    Average Period 3.3
    Table 12 Contract Types 70 – 79: Vested Reducing
    blank Males Females Total
    Average Pension 4,423 4,510 4,472
    Number 7 9 16
    Average Reduced Pension 2,268 2,037 2,138
    Average Age 62.4 62.9 62.7

    B.2 Deferred Members at 31 March 2022

    Table 13 Contract Types 10: Deferred Ordinary Life
    blank Total
    Average Pension 3,224
    Number 2
    Average Age 67.0
    Table 14 Contract Types 21-24: Deferred Guaranteed
    blank Males Female Total
    Average Pension 1,915 1,453 1,727
    Number 29 20 49
    Average Age 62.4 61.2 61.9
    Average Guarantee 15.7 15.5 15.6

    B.3 Membership Reconciliation

    Table 15 Membership Reconciliation
    Vested
    Contract Types 10-16 21-29 30-37 50&80 60 70-79 Total
    Count as at 31 March 2021 17,411 968 1,030 43 2 22 19,476
    Maturities 0 16 0 0 1 0 17
    Transfers from/to Other Contract Types 243 (141) (108) 12 0 (6) 0
    Deaths or Expired AnnuitiesTable 15 Footnote 1 (2,232) (9) (9) (14) 0 0 (2,264)
    Net CRF TransfersTable 15 Footnote 2 (3) 1 0 0 0 0 (2)
    Count as at 31 March 2022 15,419 835 913 41 3 16 17,227
    Deferred
    Count as at 31 March 2021 73
    Maturities (17)
    Deaths and Refunds (1)
    Net CRF Transfers (4)
    Count as at 31 March 2022 51

    Table 15 Footnotes

    Table 15 Footnote 1

    The 2,264 Deaths or Expired Annuities are composed of 1,497 group certificates and 767 individual contracts.

    Return to table 15 footnote 1

    Table 15 Footnote 2

    The 2 net CRF transfers are 3 group contracts transferred to the CRF and 1 individual contract transferred from the CRF.

    Return to table 15 footnote 2

    Appendix C ― Sources of Data

    C.1 Reports Required

    The following are the reports used in order to perform the Government Annuities Account valuation. The main reports are provided by ESDC and Service Canada.

    C.2 Membership Data

    • VY4741P1: Basic Vested Data
    • VY5141: Vested Annuitants to be added manually (Records to be completed using report VY4742P1)
    • GY5642: Basic Deferred Data

    Service Canada also provides accurate pension amounts for plans 16, 37, 70-79, and 29, and additional data for plans 50 and 80. This data consists of pension amounts, reduced pension amounts where applicable, date of reduction and date of final payment. Even though the total actuarial liability is taken directly from VY5141 for plans 50 and 80, it must be individually calculated for purposes of gains and losses analysis.

    C.3 Asset Data

    VM3942: Vested benefit payments and maturities by period

    GY5646, GM4741, and GM4742: Data related to refunds

    Premiums paid are provided by the Annuity Accounting Division of ESDC.

    Benefit payments are provided by the Annuity Accounting Division of ESDC.

    The monthly VM3942 reports are used to reconcile the Annuity Accounting Division’s benefit payments. Ultimately, the Annuity Accounting Division’s figures are used for balance sheet purposes. The monthly GM4741 and GM4742 reports are used for group and individual contracts.

    C.4 Other Data

    ESDC also provides balances for suspense accounts (GY5644 and GR3442), refunds in progress (GY5941) and suspended payments (VY5443).

    Appendix D ― Mortality Tables

    D.1 Projection of Mortality

    The mortality assumption is statutory, as stated in section 15 of the Improvement Act and subsection 3(4) of the Regulations. Mortality rates are to follow the Annuity Table for 1983, as modified by Projection Scale G published in Transactions of the Society of Actuaries, Vol. XXXV (1983), at pages 882 and 883. SOR/97-495, s. 2.

    Accordingly, the IAM83 table is used for individual contracts and the GAM83 table is used for group contracts. Both tables are used on sex-distinct basis and are projected for 15 years with Projection Scale G. Furthermore, for consistency with the methodology used to develop these mortality tables, the liabilities were calculated based on the annuitants’ attained age (age last) at the valuation date.

    The following table shows the mortality rates as well as Projection scale G for selected attained ages.

    Table 16 Mortality Rates
    Age GAM83 Original IAM83 Original Projection Scale G GAM83 Projected IAM83 Projected
    Males Females Males Females Males Females Males Females Males Females
    10 0.000293 0.000096 0.000382 0.000141 0.007500 0.012000 0.000262 0.000080 0.000341 0.000118
    15 0.000325 0.000140 0.000435 0.000188 0.002200 0.007000 0.000314 0.000126 0.000421 0.000169
    20 0.000377 0.000189 0.000505 0.000260 0.001400 0.005000 0.000369 0.000175 0.000494 0.000241
    25 0.000464 0.000253 0.000622 0.000349 0.001000 0.006500 0.000457 0.000229 0.000613 0.000316
    30 0.000607 0.000342 0.000759 0.000441 0.004900 0.010500 0.000564 0.000292 0.000705 0.000376
    35 0.000860 0.000476 0.000917 0.000545 0.015000 0.018500 0.000686 0.000360 0.000731 0.000412
    40 0.001238 0.000665 0.001341 0.000742 0.020000 0.022500 0.000914 0.000473 0.000990 0.000527
    45 0.002183 0.001010 0.002399 0.001122 0.018500 0.021000 0.001650 0.000735 0.001813 0.000816
    50 0.003909 0.001647 0.004057 0.001830 0.017500 0.020000 0.003000 0.001216 0.003113 0.001352
    55 0.006131 0.002541 0.005994 0.002891 0.016000 0.018500 0.004813 0.001920 0.004706 0.002185
    60 0.009158 0.004241 0.008338 0.004467 0.015000 0.017500 0.007300 0.003254 0.006647 0.003428
    65 0.015592 0.007064 0.012851 0.007336 0.015000 0.017500 0.012429 0.005420 0.010244 0.005629
    70 0.027530 0.012385 0.021371 0.011697 0.013500 0.017500 0.022452 0.009504 0.017429 0.008976
    75 0.044597 0.023992 0.035046 0.020127 0.012500 0.016000 0.036929 0.018836 0.029020 0.015802
    80 0.074070 0.042945 0.057026 0.036395 0.012500 0.015000 0.061334 0.034234 0.047220 0.029013
    85 0.114836 0.069918 0.090987 0.065518 0.012500 0.015000 0.095090 0.055736 0.075342 0.052228
    90 0.166307 0.111750 0.134887 0.113605 0.011000 0.013500 0.140882 0.091139 0.114265 0.092652
    95 0.234086 0.182419 0.191214 0.174228 0.010000 0.012500 0.201328 0.151052 0.164455 0.144269
    100 0.319185 0.295187 0.270906 0.239215 0.004000 0.005000 0.300561 0.273806 0.255099 0.221888
    105 0.469531 0.487816 0.405278 0.353414 0.000000 0.000000 0.469531 0.487816 0.405278 0.353414
    110 1.000000 1.000000 0.634814 0.584462 0.000000 0.000000 1.000000 1.000000 0.634814 0.584462

    D.2 Life Expectancies

    The following table shows life expectancies under the above-stated mortality assumption for selected attained ages.

    Table 17 Life Expectancies
    Age Group Individual
    Males Females Males Females
    15 65.4 71.8 67.1 72.2
    20 60.5 66.8 62.2 67.3
    25 55.6 61.9 57.4 62.4
    30 50.7 57.0 52.5 57.5
    35 45.9 52.1 47.7 52.6
    40 41.0 47.2 42.9 47.7
    45 36.2 42.3 38.1 42.8
    50 31.6 37.5 33.5 38.0
    55 27.1 32.7 29.1 33.3
    60 22.8 28.1 24.8 28.7
    65 18.7 23.6 20.7 24.3
    70 15.0 19.3 16.9 20.0
    75 11.8 15.3 13.5 16.0
    80 9.1 11.9 10.5 12.4
    85 7.0 9.1 8.1 9.3
    90 5.3 6.6 6.2 6.9
    95 4.0 4.6 4.6 5.1
    100 2.8 2.9 3.2 3.6
    105 1.9 1.9 2.2 2.5
    110 1.0 1.0 1.5 1.6

    Appendix E ― Alternative Mortality and Discount Rate Assumptions

    E.1 Mortality Rates

    The experience-adjusted mortality rates are based on the Canada Pension Plan retirement beneficiaries’ mortality assumptions, as developed for the 30th Actuarial Report on the Canada Pension Plan as at 31 December 2018. These rates are further adjusted using a 3% load for males and a 4% load for females.

    E.2 Discount Rates

    The annual alternative discount rates used to calculate the liabilities are 2.38% as at 31 March 2022 and 1.49% as at 31 March 2021. They are determined using a yield curve approach. Under this approach, the discount rate corresponds to an equivalent flat discount rate based on a yield curve and the projected cash flows. The yield curve is based on market yields at the end of the reporting period on Government of Canada bonds and treasury bills. The Bank of Canada develops and publishes monthly a yield curve for Government of Canada zero-coupon bondsFootnote 1.

    Table 18 shows the actuarial liabilities under the experience-adjusted mortality rates and the alternative discount rates while Table 19 provides sample experience‑adjusted mortality rates at different ages and for different years.

    Table 18 Development of Actuarial Liabilities
    (with Experience-Adjusted MortalityTable 18 Footnote 1 and Alternative Discount RateTable 18 Footnote 2)
    Fiscal Year Contract Type 2021-2022
    ($)
    2020-2021
    ($)
    Vested Member
    Males, Ordinary Life 10 - 16 36,291,623 43,387,877
    Females, Ordinary Life 10 - 16 21,455,414 24,651,466
    Males, Guaranteed 21 - 29 11,311,551 13,793,404
    Females, Guaranteed 21 - 29 6,116,974 7,444,396
    Last Survivor 30 - 37 3,775,361 4,863,514
    Reducing at OAS 70 - 79 712,262 1,011,018
    Annuities Certain 50, 80 235,050 209,291
    Temporary Annuities 60 6,965 4,702
    Suspended Payments blank 25,367 20,310
    Vested Total blank 79,930,567 95,385,979
    Deferred Members
    Ordinary Life 10 82,481 90,010
    Males, Guaranteed 21 - 24 908,886 1,380,743
    Females, Guaranteed 21 - 24 576,500 885,488
    Refunds in Process blank nil- 1,520
    Suspense Accounts Account 721 58,725 54,884
    Deferred Total blank 1,626,592 2,412,645
    Total Actuarial Liabilities blank 81,557,159 97,798,624

    Table 18 Footnotes

    Table 18 Footnote 1

    Using mortality assumptions used for the CPP beneficiaries (with appropriate loading) consistent with the 30th CPP Actuarial Report for both fiscal years 2020-2021 and 2021-2022.

    Return to table 18 footnote 1

    Table 18 Footnote 2

    Using a yield curve approach determined by reference to market yields at the end of the reporting period on Government of Canada Bonds and Treasury Bills (the equivalent flat discount rate is 1.49% as at 31 March 2021 and 2.38% as at 31 March 2022).

    Return to table 18 footnote 2

    Table 19 Sample Mortality Rates
    (Experience-Adjusted Mortality)
    Age Males Females
    2022-23 2032-33 2042-43 2052-53 2022-23 2032-33 2042-43 2052-53
    50 0.002733 0.002448 0.002259 0.002084 0.001903 0.001741 0.001606 0.001482
    55 0.004120 0.003644 0.003362 0.003102 0.002805 0.002535 0.002339 0.002159
    60 0.005239 0.004554 0.004202 0.003875 0.002771 0.002466 0.002275 0.002099
    65 0.010523 0.009163 0.008453 0.007793 0.006492 0.005785 0.005336 0.004929
    70 0.015808 0.013844 0.012768 0.011783 0.011247 0.010100 0.009326 0.008605
    75 0.026062 0.022829 0.021065 0.019436 0.018340 0.016500 0.015233 0.014056
    80 0.043787 0.038336 0.035371 0.032651 0.031705 0.028414 0.026221 0.024208
    85 0.079261 0.069450 0.064058 0.059125 0.057429 0.051043 0.047087 0.043449
    90 0.142415 0.127122 0.119383 0.112169 0.105702 0.094992 0.089176 0.083762
    95 0.235769 0.219779 0.210756 0.202146 0.193727 0.180471 0.172958 0.165885
    100 0.353022 0.339968 0.330955 0.321465 0.303306 0.291067 0.282934 0.274821
    105 0.479426 0.471182 0.464777 0.458355 0.423505 0.415092 0.409191 0.403253
    110 0.601240 0.601695 0.602109 0.602213 0.546975 0.547391 0.548027 0.547901
    115 0.684758 0.684791 0.684870 0.684876 0.635913 0.636155 0.636308 0.636274
    120 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000 1.000000

    The table below presents a reconciliation of the actuarial liability between 31 March 2021 and 31 March 2022.

    Table 20 Reconciliation of Actuarial Liability
    (with Experience‑Adjusted MortalityTable 20 Footnote 1 and Alternative Discount RatesTable 20 Footnote 2)
    ($)
    Fiscal Year 2021 – 2022 2020 – 2021
    Liability as at 1 April 97,798,624 114,761,241
      Accrued interest 1,354,070 994,923
      Premiums 3,359 72
      Reclaimed annuities 2,909 7,226
      Annuity payments (12,564,126)Table 20 Footnote 3 (14,137,060)Table 20 Footnote 4
      Premium refunds and other (3,129) (2,271)
      Unclaimed annuities (40,120) (75,789)
      Change in mortality assumption - -
      Change in discount ratesTable 20 Footnote 5 (4,733,007) (3,746,679)
      Experience (261,421) (3,039)
    Liability as at 1 April 81,557,159 97,798,624

    Table 20 Footnotes

    Table 20 Footnote 1

    Using mortality assumptions used for the CPP beneficiaries (with appropriate loading) consistent with the 30th CPP Actuarial Report for both fiscal years 2020-2021 and 2021-2022.

    Return to table 20 footnote 1

    Table 20 Footnote 2

    Using a yield curve approach determined by reference to market yields at the end of the reporting period on Government of Canada Bonds and Treasury Bills (the equivalent flat discount rate is 1.49% as at 31 March 2021 and 2.38% as at 31 March 2022).

    Return to table 20 footnote 2

    Table 20 Footnote 3

    Includes annuity and retroactive payments totalling $537 for members recovered from the CRF in 2021-2022, and vested commuted value payments of $32,940.

    Return to table 20 footnote 3

    Table 20 Footnote 4

    Includes annuity and retroactive payments totalling $10,619 for members recovered from the CRF in 2020-2021, and vested commuted value payments of $80,058.

    Return to table 20 footnote 4

    Table 20 Footnote 5

    The discount rate used to calculate liabilities changed from 0.93% in 2019-2020 to 1.49% in 2020-2021 and 2.38% in 2021-2022 based on the yield curve approach.

    Return to table 20 footnote 5

    The following table outlines the calculation of interest for the 2022 and 2021 fiscal years.

    Table 21 Calculation of Interest
    (with Experience-Adjusted MortalityTable 21 Footnote 1 and Alternative Interest RatesTable 21 Footnote 2)
    ($)
    Fiscal Year 2021-2022 2020-2021
    Vested Members
    Interest on:
    Experience adjusted liabilities as at 1 April of prior year
    1,421,251 1,036,040
    Maturities
    4,927 3,420
    CRF Recoveries
    36 55
    Less interest on:
    Annuity Payments
    (102,483) (71,789)
    Commuted Values
    (398) (395)
    Transfers to CRF
    0 0
    Total Vested Members 1,323,333 967,330
    Deferred Members
    Interest on:
    Experience adjusted liabilities as at 1 April of prior year
    35,948 31,240
    Premiums
    45 0
    CRF Recoveries
    0 1
    Less interest on:
    Maturities
    (4,927) (3,420)
    Refunds
    (292) (226)
    Transfers to CRF
    (37) (2)
    Total Deferred Members 30,737 27,593
    Total Interest 1,354,070 994,923

    Table 21 Footnotes

    Table 21 Footnote 1

    Using mortality assumptions used for the CPP beneficiaries (with appropriate loading) consistent with the 30th CPP Actuarial Report for both fiscal years 2020-2021 and 2021-2022.

    Return to table 21 footnote 1

    Table 21 Footnote 2

    Using a yield curve approach determined by reference to market yields at the end of the reporting period on Government of Canada Bonds and Treasury Bills (the equivalent flat interest rate is 1.49% for fiscal year 2020-2021 and 2.38% for fiscal year 2021-2022). The calculation of interest for the fiscal year is based on the rates at the beginning of the period while the end of period liabilities are based on the rates at the end of the period.

    Return to table 21 footnote 2

    Footnotes

    Footnote 1

    The methodology to develop this yield curve is set out on the Bank of Canada’s website.

    Return to footnote 1