Actuarial report on the Government annuities as at 31 March 2023
Office of the Chief Actuary
Table of contents
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 2023 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
Tables 1 and 2 below summarize the results of the actuarial valuation as at 31 March 2023.
Assets | 59,972,022 |
---|---|
Liabilities | 58,866,929 |
Surplus (Deficit) | 1,105,092 |
Membership | Count | Average annual pension ($) |
---|---|---|
Vested members | 15,115 | 698 |
Deferred members | 34 | 1,854 |
Total | 15,149 | 701 |
1.4 Conclusion
The surplus of $1,105,092 is credited to the Federal Government's CRF and charged to the Account. The next valuation will be performed as at 31 March 2024.
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 2023. 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 27 such members as at 31 March 2023.
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.
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 2023. 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 2022 is equal to the 31 March 2022 liabilities. The assets value as at 31 March 2023 prior to any charge or credit to the CRF is obtained by adding interest at 7% on the 1 April 2022 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 2023 and 2022 fiscal years.
blank | Fiscal year 2022 – 2023 |
Fiscal year 2021 – 2022 |
||
---|---|---|---|---|
Assets as at 1 April | 66,894,991 | 75,755,079 | ||
Income | ||||
Interest to 31 March | 4,256,014 | 4,822,098 | ||
Premiums for deferred annuities | - no data | 3,359 | ||
Unclaimed annuities recovered from CRF | 8,967 | 2,909 | ||
Total income | 4,264,981 | 4,828,366 | ||
Payments and other charges | ||||
Payments to vested members | ||||
Vested regular annuity payments | 11,095,129Table 4 footnote 1 | 12,531,186Table 4 footnote 2 | ||
Vested commuted values | 72,814 | 32,940 | ||
Total payments to vested members | 11,167,943 | 12,564,126 | ||
Monies refunded | 2,448 | 3,129 | ||
Values transferred to CRF (vested & deferred) | 17,559 | 40,120 | ||
Total payments and other charges | 11,187,951 | 12,607,375 | ||
Income less payments and other charges | (6,922,970) | (7,779,009) | ||
Assets as at 31 March | 59,972,022 | 67,976,070 | ||
Surplus charged to the account and credited to the CRF | (1,105,092) | (1,081,079) | ||
Net assets as at 31 March | 58,866,929 | 66,894,991 | ||
Actuarial liabilities as at 31 March | 58,866,929 | 66,894,991 | ||
Table 4 footnotes
|
5.2 Calculation of interest
Tables 5, 6 and 7 below outline the calculation of the notional 7% annual interest credited to the Account for the 2023 and 2022 fiscal years.
Calculation of interest | Fiscal year 2022 – 2023 |
Fiscal year 2021 – 2022 |
---|---|---|
Prescribed assets as at 1 April of prior year | 4,619,667 | 5,221,914 |
Maturities | 19,494 | 23,427 |
CRF Recoveries | 99 | 168 |
Annuity payments | (423,898) | (478,602) |
Commuted values | (2,775) | (1,862) |
Transfers to CRF | - no data | - no data |
Total interest for vested members | 4,212,587 | 4,765,045 |
Calculation of interest | Fiscal year 2022 – 2023 |
Fiscal year 2021 – 2022 |
---|---|---|
Prescribed Assets as at 1 April of prior year | 62,982 | 80,942 |
Premiums | - no data | 212 |
CRF Recoveries | - no data | - no data |
Maturities | (19,494) | (23,427) |
Refunds | (61) | (502) |
Transfers to CRF | - no data | (172) |
Total interest for deferred members | 43,427 | 57,053 |
Membership | Fiscal year 2022 – 2023 |
Fiscal year 2021 – 2022 |
---|---|---|
Interest for vested members | 4,212,587 | 4,765,045 |
Interest for deferred members | 43,427 | 57,053 |
Total interest | 4,256,014 | 4,822,098 |
5.3 Development of actuarial liabilities
Tables 8, 9 and 10 below outline the Account's actuarial liabilities by members' category as at 31 March of 2023 and 2022.
Actuarial liabilities | Contract type | Fiscal year 2022 – 2023 ($) |
Fiscal year 2021 – 2022 ($) |
---|---|---|---|
Males, Ordinary life | 10 – 16 | 27,715,972 | 31,664,592 |
Females, Ordinary life | 10 – 16 | 16,798,721 | 18,434,224 |
Males, Guaranteed | 21 – 29 | 6,815,305 | 7,880,889 |
Females, Guaranteed | 21 – 29 | 4,001,918 | 4,198,250 |
Last survivor | 30 – 37 | 2,393,926 | 3,118,023 |
Reducing at OAS | 70 – 79 | 319,831 | 467,932 |
Annuities certain | 50, 80 | 154,780 | 198,945 |
Temporary annuities | 60 | 6,727 | 7,025 |
Suspended payments | blank | 31,582 | 25,367 |
Vested member actuarial liability | blank | 58,238,762 | 65,995,247 |
Actuarial liabilities | Contract type | Fiscal year 2022 – 2023 ($) |
Fiscal year 2021 – 2022 ($) |
---|---|---|---|
Ordinary life | 10 | 50,964 | 47,950 |
Males, Guaranteed | 21 – 24 | 341,925 | 479,534 |
Females, Guaranteed | 21 – 24 | 172,442 | 313,535 |
Refunds in Process | blank | - no data | - no data |
Suspense Accounts | Account 721 | 62,836 | 58,725 |
Deferred member actuarial liability | blank | 628,167 | 899,744 |
Membership | Fiscal year 2022 – 2023 |
Fiscal year 2021 – 2022 |
---|---|---|
Vested members | 58,238,762 | 65,995,247 |
Deferred members | 628,167 | 899,744 |
Total actuarial liabilities | 58,866,929 | 66,894,991 |
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 2022 and 31 March 2023.
Surplus as at 31 March 2022 | - no data |
---|---|
Premiums paid with interest | - no data |
Vested members mortality | 1,063,569 |
Deferred members – retirements, mortality, refunds | 42,027 |
Transfers from CRF and other data changes | (504) |
Surplus as at 31 March 2023 | 1,105,092 |
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 2023 under experience-adjusted mortality rates and the alternative discount rate is $68.0 million, which is $9.2 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 2023, there is a surplus of $1,105,092 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 2023.
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
Ottawa, Canada
28 July 2023
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)
- 10. Ordinary
- 11. Guarantee expired: on valuation change of 21 – 24
- 12. From last or contingent survivor: 30, 35, 36, 37
- 13. From last survivor guarantee expired: on first death of 31
- 14. From reducing ordinary: on reduction of 70
- 15. From reducing guaranteed: on reduction of 79, on valuation change of 29 or from 71-74 where reduction and end of guarantee coincide
- 16. From reducing survivor: 36, 37
Single Life with Guarantee (21 – 29)
- 21. Guaranteed 5 years
- 22. Guaranteed 10 years
- 23. Guaranteed 15 years
- 24. Guaranteed 20 years
- 29. From 71-74 after reduction still within guarantee
Joint Lives No Guarantee (30 – 37)
- 30. Ordinary Last Survivor (100%)
- 31. Last Survivor guarantee expired (100%)
- 35. Contingent Survivor (100%)
- 36. Contingent Survivor reducing by one half at death of Principal Annuitant (50%)
- 37. Contingent Survivor reducing by any other amount at death of Principal Annuitant
Annuities Certain (50 & 80)
- 50. Certain level amount (Includes from 80 after reduction)
- 80. Certain, reducing
Temporary Annuities (60)
- 60. Temporary
Reducing Annuities (70 – 79)
- 70. Ordinary, reducing
- 71. Guaranteed 5 years, reducing
- 72. Guaranteed 10 years, reducing
- 73. Guaranteed 15 years, reducing
- 74. Guaranteed 20 years, reducing
- 79. From 71-74, guarantee expired before reduction
Appendix B ― Membership data
B.1 Vested membersat 31 March 2023
Tables 12 to 17 summarize the vested member data as at 31 March 2023. Each table presents the average annual pension, member count and average age for both genders for each vested contract type. Additional information is included in certain tables when it is relevant for the particular contract type.
Age | Members | Males | Females | Total |
---|---|---|---|---|
50-69Table 12 footnote 1 | Average annual pension ($) | 901 | 946 | 927 |
Number | 51 | 69 | 120 | |
Average age (years) | 66.2 | 66.5 | 66.4 | |
70-79 | Average annual pension ($) | 908 | 783 | 846 |
Number | 635 | 632 | 1,267 | |
Average age (years) | 76.3 | 75.9 | 76.1 | |
80-89 | Average annual pension ($) | 657 | 560 | 626 |
Number | 4,370 | 2,085 | 6,455 | |
Average age (years) | 85.4 | 85.1 | 85.3 | |
90-100 | Average annual pension ($) | 700 | 563 | 649 |
Number | 3,479 | 2,087 | 5,566 | |
Average age (years) | 93.2 | 93.7 | 93.4 | |
100 + | Average annual pension ($) | 692 | 477 | 562 |
Number | 74 | 113 | 187 | |
Average age (years) | 102.0 | 102.4 | 102.3 | |
Total average annual pension ($) | blank | 695 | 593 | 658 |
Total number | blank | 8,609 | 4,986 | 13,595 |
Total average age (years) | blank | 87.9 | 87.7 | 87.8 |
Table 12 footnotes
|
Age | Members | Males | Females | Total |
---|---|---|---|---|
50-69 | Average annual pension ($) | 1,981 | 2,036 | 2,005 |
Number | 120 | 93 | 213 | |
Average age (years) | 66.6 | 66.4 | 66.5 | |
Average guarantee (years) | 8.9 | 8.5 | 8.7 | |
70-79 | Average annual pension ($) | 1,537 | 1,223 | 1,431 |
Number | 307 | 156 | 463 | |
Average age (years) | 74.5 | 74.4 | 74.5 | |
Average guarantee (years) | 5.3 | 4.6 | 5.0 | |
80-89 | Average annual pension ($) | 1,402 | 1,148 | 1,339 |
Number | 33 | 11 | 44 | |
Average age (years) | 81.2 | 81.6 | 81.3 | |
Average guarantee (years) | 2.9 | 3.3 | 3.0 | |
Total Average annual pension ($) | blank | 1,643 | 1,511 | 1,595 |
Total Number | blank | 460 | 260 | 720 |
Average age (years) | blank | 72.9 | 71.9 | 72.5 |
Average guarantee (years) | blank | 6.1 | 5.9 | 6.0 |
Members | Males | Females | Total |
---|---|---|---|
Total average annual pension ($) | 508 | 237 | 500 |
Total number | 735 | 21 | 756 |
Average age (years) | 87.3 | 85.6 | 87.3 |
Average spouse age (years) | 84.0 | 84.6 | 84.1 |
Average continuing percentage | 73% | 68% | 73% |
Members | Total |
---|---|
Average annual pension ($) | 1,289 |
Number | 31 |
Average certain period (years) | 5.0 |
Members | Total |
---|---|
Average annual pension ($) | 674 |
Number | 3 |
Average age (years) | 61.0 |
Average period (years) | 4.0 |
Members | Males | Females | Total |
---|---|---|---|
Average annual pension ($) | 4,816 | 4,293 | 4,607 |
Number | 6 | 4 | 10 |
Average reduced annual pension ($) | 2,469 | 2,362 | 2,426 |
Average age (years) | 63.2 | 62.5 | 62.9 |
B.2 Deferred members at 31 March 2023
Tables 18 and 19 summarize the deferred member data as at 31 March 2023. Each table presents the average annual pension, member count and average age for both genders for each deferred contract type. Table 19 also includes the average guarantee period.
Members | Total |
---|---|
Average annual pension ($) | 3,202Table 18 footnote 1 |
Number | 2 |
Average age (years) | 68.0 |
Table 18 footnotes
|
Members | Males | Female | Total |
---|---|---|---|
Average annual pension ($) | 2,139 | 1,229 | 1,769 |
Number | 19 | 13 | 32 |
Average age (years) | 63.2 | 61.9 | 62.7 |
Average guarantee (years) | 15.5 | 15.4 | 15.5 |
B.3 Membership reconciliation
Contract types | 10-16 | 21-29 | 30-37 | 50 & 80 | 60 | 70-79 | Total |
---|---|---|---|---|---|---|---|
Count as at 31 March 2022 | 15,419 | 835 | 913 | 41 | 3 | 16 | 17,227 |
Maturities | - no data | 14 | - no data | - no data | 1 | - no data | 15 |
Transfers from/to other contract types | 250 | (112) | (138) | 6 | - no data | (6) | - no data |
Deaths or expired annuitiesTable 20 footnote 1 | (2,066) | (17) | (19) | (14) | (1) | - no data | (2,117) |
Net CRF transfersTable 20 footnote 2 | (8) | 0 | - no data | (2) | - no data | - no data | (10) |
Count as at 31 March 2023 | 13,595 | 720 | 756 | 31 | 3 | 10 | 15,115 |
Table 20 footnotes
|
Count as at 31 March 2022 | 51 |
---|---|
Maturities | (15) |
Deaths and Refunds | (2) |
Net CRF Transfers | - no data |
Count as at 31 March 2023 | 34 |
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.
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.
Age | Group males | Group females | Individual males | Individual 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 31st Actuarial Report on the Canada Pension Plan as at 31 December 2021. 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 3.05% as at 31 March 2023 and 2.38% as at 31 March 2022. 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*.
Tables 24, 25 and 26 show the development of actuarial liabilities under the experience-adjusted mortality rates and the alternative discount rates while Tables 27 and 28 provide sample experience‑adjusted mortality rates at different ages and for different years.
Actuarial liabilities | Contract type | Fiscal year 2022 – 2023 ($) |
Fiscal year 2021 – 2022 ($) |
||||
---|---|---|---|---|---|---|---|
Males, Ordinary life | 10 – 16 | 30,209,783 | 36,291,623 | ||||
Females, Ordinary life | 10 – 16 | 18,749,365 | 21,455,414 | ||||
Males, Guaranteed | 21 – 29 | 9,178,298 | 11,311,551 | ||||
Females, Guaranteed | 21 – 29 | 5,455,000 | 6,116,974 | ||||
Last survivor | 30 – 37 | 2,751,416 | 3,775,361 | ||||
Reducing at OAS | 70 – 79 | 453,582 | 712,262 | ||||
Annuities certain | 50, 80 | 176,207 | 235,050 | ||||
Temporary annuities | 60 | 6,149 | 6,965 | ||||
Suspended payments | blank | 31,582 | 25,367 | ||||
Vested member actuarial liability | blank | 67,011,382 | 79,930,567 | ||||
Table 24 footnotes
|
Actuarial liabilities | Contract type | Fiscal year 2022 – 2023 ($) |
Fiscal year 2021 – 2022 ($) |
||||
---|---|---|---|---|---|---|---|
Ordinary life | 10 | 77,259 | 82,481 | ||||
Males, Guaranteed | 21 - 24 | 588,483 | 908,886 | ||||
Females, Guaranteed | 21 - 24 | 281,016 | 576,500 | ||||
Refunds in process | blank | - no data | - no data | ||||
Suspense accounts | Account 721 | 62,836 | 58,725 | ||||
Deferred total | blank | 1,009,594 | 1,626,592 | ||||
Table 25 footnotes
|
Membership | Fiscal year 2022 – 2023 |
Fiscal year 2021 – 2022 |
|||||
---|---|---|---|---|---|---|---|
Vested total | 67,011,382 | 79,930,567 | |||||
Deferred total | 1,009,594 | 1,626,592 | |||||
Total actuarial liabilities | 68,020,976 | 81,557,159 | |||||
Table 26 footnotes
|
Age | 2023-24 | 2033-34 | 2043-44 | 2053-54 |
---|---|---|---|---|
50 | 0.002773 | 0.002473 | 0.002277 | 0.002102 |
55 | 0.004205 | 0.003692 | 0.003397 | 0.003134 |
60 | 0.005257 | 0.004567 | 0.004192 | 0.003862 |
65 | 0.011478 | 0.010054 | 0.009265 | 0.008511 |
70 | 0.016640 | 0.014536 | 0.013360 | 0.012319 |
75 | 0.026293 | 0.023105 | 0.021238 | 0.019610 |
80 | 0.045101 | 0.039715 | 0.036531 | 0.033703 |
85 | 0.079758 | 0.069081 | 0.063502 | 0.058591 |
90 | 0.144455 | 0.128429 | 0.120259 | 0.113004 |
95 | 0.246330 | 0.227150 | 0.217318 | 0.208418 |
100 | 0.370629 | 0.351527 | 0.341497 | 0.331975 |
105 | 0.495122 | 0.480430 | 0.473293 | 0.466759 |
110 | 0.610294 | 0.610716 | 0.610554 | 0.610409 |
115 | 0.687747 | 0.687841 | 0.687990 | 0.687957 |
120 | 1.000000 | 1.000000 | 1.000000 | 1.000000 |
Age | 2023-24 | 2033-34 | 2043-44 | 2053-54 |
---|---|---|---|---|
50 | 0.001788 | 0.001602 | 0.001476 | 0.001362 |
55 | 0.002687 | 0.002368 | 0.002180 | 0.002011 |
60 | 0.002996 | 0.002638 | 0.002426 | 0.002238 |
65 | 0.006657 | 0.005938 | 0.005469 | 0.005046 |
70 | 0.010879 | 0.009752 | 0.008986 | 0.008294 |
75 | 0.017846 | 0.016173 | 0.014919 | 0.013765 |
80 | 0.031829 | 0.028947 | 0.026700 | 0.024654 |
85 | 0.057646 | 0.051356 | 0.047294 | 0.043671 |
90 | 0.108716 | 0.097523 | 0.091375 | 0.085867 |
95 | 0.192431 | 0.177589 | 0.169874 | 0.162913 |
100 | 0.302505 | 0.285415 | 0.277016 | 0.269197 |
105 | 0.422266 | 0.407506 | 0.401046 | 0.395367 |
110 | 0.547038 | 0.547335 | 0.547338 | 0.547316 |
115 | 0.636409 | 0.636448 | 0.636491 | 0.636469 |
120 | 1.000000 | 1.000000 | 1.000000 | 1.000000 |
The table below presents a reconciliation of the actuarial liability between 31 March 2022 and 31 March 2023.
Liabilities | Fiscal year 2022 – 2023 |
Fiscal year 2021 – 2022 |
---|---|---|
Liability as at 1 April | 81,557,159 | 97,798,624 |
Accrued interest | 1,795,032 | 1,354,070 |
Premiums | - no data | 3,359 |
Reclaimed annuities | 8,967 | 2,909 |
Annuity payments | (11,167,943)Table 29 footnote 3 | (12,564,126)Table 29 footnote 4 |
Premium refunds and other | (2,448) | (3,129) |
Unclaimed annuities | (17,559) | (40,120) |
Change in mortality assumption | (930,967) | - no data |
Change in discount ratesTable 29 footnote 5 | (2,765,661) | (4,733,007) |
Experience and data corrections | (455,604) | (261,421) |
Liability as at 1 April | 68,020,976 | 81,557,159 |
Table 29 footnotes
|
Tables 30, 31 and 32 below outline the calculation of interest for the 2023 and 2022 fiscal years.
Calculation of interest | Fiscal year 2022 – 2023 |
Fiscal year 2021 – 2022 |
|||||
---|---|---|---|---|---|---|---|
Experience adjusted liabilities as at 1 April of prior year | 1,902,347 | 1,421,251 | |||||
Maturities | 6,564 | 4,927 | |||||
CRF Recoveries | 34 | 36 | |||||
Annuity payments | (145,044) | (102,483) | |||||
Commuted values | (951) | (398) | |||||
Transfers to CRF | - no data | - no data | |||||
Total interest for vested members | 1,762,950 | 1,323,333 | |||||
Table 30 footnotes
|
Calculation of interest | Fiscal year 2022 – 2023 |
Fiscal year 2021 – 2022 |
|||||
---|---|---|---|---|---|---|---|
Experience adjusted liabilities as at 1 April of prior year | 38,713 | 35,948 | |||||
Premiums | - no data | 45 | |||||
CRF Recoveries | - no data | - no data | |||||
Maturities | (6,564) | (4,927) | |||||
Refunds | (67) | (292) | |||||
Transfers to CRF | - no data | (37) | |||||
Total deferred members | 32,082 | 30,737 | |||||
Table 31 footnotes
|
Membership | Fiscal year 2022 – 2023 |
Fiscal year 2021 – 2022 |
|||||
---|---|---|---|---|---|---|---|
Interest for vested members | 1,762,950 | 1,323,333 | |||||
Interest for deferred members | 32,082 | 30,737 | |||||
Total interest | 1,795,032 | 1,354,070 | |||||
Table 32 footnotes
|
Footnotes
- Footnote 1
-
The methodology to develop this yield curve is set out on the Bank of Canada's website.