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Actuarial Bulletin No. 1

May 2008

Notice to the reader:

The text in this document is an exact copy of the text found in the PDF version (94 KB). However, the software used to produce this HTML version cannot fully reproduce all the features found in the other formats.

The Registered Plans Directorate will be amending Actuarial Bulletin No. 1. To ensure consistency in determining the actuarial increase resulting from lifetime retirement benefits (LRBs) becoming payable after age 65, Example 3 of Appendix 1 will be removed. As a result, Example 2 will be modified to clearly demonstrate how two plan members with the same age, earnings and employment history will have the same LRBs, actuarial liability and current service costs, whether the benefits were accrued on a current service basis or bought back after attaining age 65.

Although these changes will be made at a later date, the RPD will accept actuarial valuation reports using the revised methodology prior to the publication of the revised Bulletin.

The Registered Plans Directorate (RPD) presents its first bulletin about actuarial issues in defined-benefit pension plans and how the provisions of the Income Tax Act (the "Act") and Income Tax Regulations (the "Regulations") apply to these issues.

In this inaugural bulletin, we will communicate our position on the methodology (acceptable to RPD) involved in calculating the actuarial increase where pension commencement is postponed beyond age 65.

Specifically, we will outline the following:

  • the RPD's interpretation of paragraph 8504(10)(b) of the Regulations for actuarially adjusted benefits that can be considered excluded lifetime retirement benefits (LRBs) for purposes of the maximum LRB payable under a defined benefit registered pension plan (RPP), as per subsection 8504(1) of the Regulations;
  • the effective date at which the above legislative interpretation will be applied; and
  • the intended treatment of actuarial valuation reports not yet approved, submitted before the effective date, and in which we find LRBs adjusted for delayed retirement using a less-restrictive methodology than that set out in this document.

Note:

Due to the technical nature of this publication, it is intended primarily for use by pension plan consultants and actuaries who have an interest in tax matters.

Actuarial Increase on Delayed Retirement

General

Paragraph 8504(10)(b) of the Regulations permits certain additional LRBs, on account of deferral of pension commencement beyond age 65, to be disregarded in determining whether LRBs are in compliance with the conditions in subsection 8504(1) of the Regulations.

The paragraph stipulates that an adjustment can be made to offset, in whole or in part, the decrease in the value of the LRBs that would otherwise result by reason of the deferral of such benefits after the member attains 65 years of age. It requires that the adjustment is not more favourable than such an adjustment made on an actuarially equivalent basis.

The additional LRBs resulting from the above adjustment can be disregarded for purposes of subsection 8504(1) of the Regulations.

Therefore, for plan members who elect to defer receiving their LRBs beyond age 65, the maximum LRB that can be paid from a pension plan is the maximum set out under subsection 8504(1) plus an additional LRB as per paragraph 8504(10)(b). The additional LRB compensates the member for the decrease in value of the pension benefits on account of the deferral of the payment of pension benefits beyond age 65.

For illustration purposes, we assume the normal retirement age (NRA) is 65. The plan member, currently age 69, is expected to have accrued LRBs at the maximum accrual rate pursuant to subsection 8504(1) for each year of pensionable service. The plan permits LRBs to be adjusted on an actuarial equivalent basis if the retirement date is delayed beyond age 65. The plan member is assumed to retire at age 69 (i.e., postponed retirement age).

In the formulae below, represents the interest rate, the present value of one unit of LRB payable monthly from age , the discount factor from age × to age at an interest rate of , represents the accrued LRB at age ×, represents LRB at age ×for periods of service before age γ, and the LRB at age × for the period of service between ages and .


LRB accrued for periods of service before age 65.

For this LRB, the “decrease in value” on account of delayed retirement from 65 to 69 is determined as:

Decrease in value = The image represents the greater of zero and the excess of accrued LRB at age 65 times the present value of an annuity of 1$ payable monthly in advance at age 65 (hereinafter called the annuity factor at age 65) increased with the valuation rate from age 65 to age 69 over LRB at age 69 in respect of pre-65 periods of service times the annuity factor at age 69.

Therefore, the LRB payable pursuant to paragraph 8504(10)(b), if any, in addition to LRBs payable pursuant to subsection 8504(1) from age 69 is equal to:

The image represents the greater of zero and the excess of accrued LRB at age 65 times the ratio of the annuity factor at age 65 to the annuity factor at age 69 increased with the valuation rate from age 65 to age 69 over LRB at age 69 in respect of pre-65 periods of service.

The total amount of LRB payable as of the postponed retirement age is equal to:

+ The image represents the LRB at age 69 in respect of pre-65 periods of service plus the greater of zero and the excess of accrued LRB at age 65 times the ratio of the annuity factor at age 65 to the annuity factor at age 69 increased with the valuation rate from age 65 to age 69 over LRB at age 69 in respect of pre-65 periods of service.

The image represents the accrued LRB at age 65 increased with the valuation rate from age 65 to age 69 and times the ratio of the annuity factor at age 65 to the annuity factor at age 69. (if the term in parenthesis is > 0)

or The image represents the LRB at age 69 in respect of pre-65 periods of service (otherwise)

LRBs accrued beyond age 65

It is important to note that LRBs cannot be deferred (postponed) until they are earned for the purposes of paragraph 8504(10)(b). Otherwise stated, the deferral period starts from the later of the normal retirement date (no earlier than age 65) or the time from which the member has earned the LRBs, and ends on the postponed retirement date.

For the sake of simplicity, LRBs are deemed to be earned uniformly during the year. As a result, a mid-year adjustment is applied for the additional LRBs pursuant to paragraph 8504(10)(b). This results in the following:

(i) Accrual of LRB from age 65 to age 66

As to the LRB earned for the period of service between ages 65 and 66, the “decrease in value” on account of delayed retirement is calculated from 65.5 to 69 as:

Decrease in value = The image represents the greater of zero and the excess of accrued LRB at age 66 for the period of service between ages 65 and 66 times the annuity factor at age 65.5 and increased with the valuation rate from age 65.5 to age 69 over LRB at age 69 in respect of periods of service between ages 65 and 66 times the annuity factor at age 69.

The total amount payable as of the postponed retirement age is equal to

The image represents the accrued LRB at age 66 for the period of service between ages 65 and 66 increased with the valuation rate from age 65.5 to age 69 and times the ratio of the annuity factor at age 65.5 to the annuity factor at age 69.

or

The image represents the LRB at age 69 in respect of periods of service between ages 65 and 66.

(ii) Accrual of LRB from age 66 to age 67

As to the LRB earned for service between ages 66 and 67, the “decrease in value” on account of delayed retirement is calculated from 66.5 to 69 as:

Decrease in value = The image represents the greater of zero and the excess of accrued LRB at age 67 for the period of service between ages 66 and 67 times the annuity factor at age 66.5 and increased with the valuation rate from age 66.5 to age 69 over LRB at age 69 in respect of periods of service between ages 66 and 67 times the annuity factor at age 69.

And the total amount payable as of the postponed retirement age is equal to:

The image represents the accrued LRB at age 67 for the period of service between ages 66 and 67 increased with the valuation rate from age 66.5 to age 69 and times the ratio of the annuity factor at age 66.5 to the annuity factor at age 69.

or

The image represents the LRB at age 69 in respect of periods of service between ages 66 and 67.

(iii) Accrual of LRB from age 67 to age 68

As to the LRB earned for service between ages 67 and 68, the “decrease in value” on account of delayed retirement is calculated from 67.5 to 69 as:

Decrease in value =The image represents the greater of zero and the excess of accrued LRB at age 68 for the period of service between ages 67 and 68 times the annuity factor at age 67.5 and increased with the valuation rate from age 67.5 to age 69 over LRB at age 69 in respect of periods of service between ages 67 and 68 times the annuity factor at age 69.

And the total amount payable as of the postponed retirement age is equal to:

The image represents the accrued LRB at age 68 for the period of service between ages 67 and 68 increased with the valuation rate from age 67.5 to age 69 and times the ratio of the annuity factor at age 67.5 to the annuity factor at age 69.

or

The image represents the LRB at age 69 in respect of periods of service between ages 67 and 68.

(iv) Accrual of LRB from age 68 to age 69

As to the LRB earned for service between ages 68 and 69, the “decrease in value” on account of delayed retirement is calculated from 68.5 to 69 as:

Decrease in value = The image represents the accrued LRB at age 69 for the period of service between ages 68 and 69 times the annuity factor at age 68.5 and increased with the valuation rate from age 68.5 to age 69 minus LRB at age 69 in respect of periods of service between ages 68 and 69 times the annuity factor at age 69.

And the total amount payable as of the postponed retirement age is equal to:

The image represents the accrued LRB at age 69 for the period of service between ages 68 and 69 increased with the valuation rate from age 68.5 to age 69 and times the ratio of the annuity factor at age 68.5 to the annuity factor at age 69.

It is evident from the formulas in (i), (ii), (iii), and (iv) above, that the actuarial adjustment results in different LRB amounts payable as of age 69 for;

(a) LRBs earned up to age 65;
(b) LRBs earned from age 65 to age 66;
(c) LRBs earned from age 66 to age 67;
(d) LRBs earned from age 67 to age 68; and
(e) LRBs earned from age 68 to age 69;
due to the differing periods of adjustment in each case.

The examples set out in Appendix 1 will provide further insight into the acceptable actuarial adjustments on account of the delayed retirement pursuant to paragraph 8504(10)(b) of the Regulations.

For career average and final average earnings plans, the actuarially adjusted LRB on account of delayed retirement must not be calculated using earnings during the deferral period. Similarly, earnings must not be indexed beyond the calendar year during which the deferral period starts for the purposes of subsection 8504(10)(b), otherwise a form of double counting is introduced. This is not acceptable to the RPD.

Pension Credits

For the purposes of determining the pension credits as per subsection 8301(6) of the Regulations, paragraphs 8302(3)(n) and 8303(5)(d) allow the LRB increases, due to the deferral of pension onset, to be disregarded to the extent that they would not be more than the increases determined on an actuarial equivalent basis. When the increase in LRB exceeds the actuarial increase acceptable to RPD, the normalized pension attributable to the year for which the pension credit is calculated will be correspondingly higher, and the increases for prior years' benefits is a past service event that will give rise to a past service pension adjustment (PSPA).

Specifically, the PSPA will be based on the portion of the LRB increase that exceeds the actuarial equivalence on account of delayed retirement acceptable to RPD. If the acceptable actuarial increase was 7 percent and a 10 percent increase in the LRB is provided, the PSPA would be based on the additional 3 percent increase in LRB.

Effective date of above interpretation

We will apply the above interpretation prospectively, effective January 1, 2009. The legislative interpretation of 8504(10)(b) outlined above will prove to be more restrictive than the methodology currently used by some industry practitioners when valuing the actuarial liabilities and even the normal costs for plan members covered under designated plans (defined under subsection 8515(1) of the Regulations) who have elected to defer the receipt of their pension benefits beyond age 65.

The valuation reports received in the RPD before January 1, 2009, will not be adversely affected by this interpretation. Retired members who have already started to receive their LRBs at the above date will not have their benefits reduced.

However, for any valuation reports that the RPD has not yet received before January 1, 2009, we will enforce this interpretation as part of our review of the pension plan funding requests, as well as on compliance audits.

How to contact us

Contact us at the Registered Plans Directorate if you have any questions about this interpretation. Our telephone enquiries service is available Monday to Friday from 8:00 a.m. to 5:00 p.m., Eastern Time (with a voice mailbox system to take messages outside those hours):

In the Ottawa area:
For service in English, call 613-954-0419
For service in French, call 613-954-0930

Toll free elsewhere in Canada:
For service in English, call 1-800-267-3100
For service in French, call 1-800-267-5565

  • Actuaries and plan administrators who need guidance on issues related to a specific plan can write to us at the Registered Plans Directorate, Ottawa, ON K1A 0L5, or fax us at (613) 952-0199.
  • We welcome feedback on this bulletin. Send your comments by email to: ad-enquiries/da-enquetes.lpra@cra-arc.gc.ca

Appendix 1

Example 1

An individual participates in a single-employer defined benefit RPP.

The individual's pensionable earnings have been historically lower than what is required to yield the 8504(1) maximum LRB from the plan.

The member entered the plan on January 1, 1997, turned 65 as of January 1, 2005, and has decided to delay his retirement. A valuation is being prepared with an effective date of January 1, 2007.

Plan Provisions

Effective date:

January 1, 1991

Benefit formula:

Minimum of 1.5% of final year average earnings (FAE3), or the defined benefit limit times the years of credited service

Normal retirement age:

65

Normal form of pension:

Life only

Post Retirement indexing:

Fully indexed to CPI

Provision of DB Limit projection:

Yes

Actuarial equivalence on account of delayed retirement:

Yes

Employee Data

Shareholder (Y/N):

No; (non-connected person)

Sex:

Male

Date of birth:

January 1, 1940

Date of hire:

January 1, 1997

Attained age:

67

Pensionable service:

10 years

 

Earnings

FAE3 (at the end
of the previous year)

1997-2004

$50,000

  

2005

$55,000

$50,000

2006

$60,000

$51,667

2007 (expected)

$62,400

$55,000

2008 (expected)

$64,896

$59,133

2009

  

$62,432

Actuarial Assumptions

Valuation date:

January 1, 2007

Valuation rate (before retirement):

The image represents the pre-retirement valuation rate of 6 percent

Salary increase:

The image represents the salary increase rate of 4 percent

Inflation rate (i.e. CPI):

2.50%

Indexation of pension:

CPI %

Valuation rate (after retirement):

The image represents the post-retirement valuation rate of 3.41 percent (i.e. ratio 1 plus 6 percent to 1 plus 2.5 percent less 1)

DB Limit projection rate:

3% per annum commencing January 1, 2010

Mortality table:

UP94 projected to 2015 with scale AA (post-retirement only)

Retirement Date:

January 1, 2009

Retirement age:

69

Funding method:

Projected Accrued Benefit

Payment mode of retirement benefits:

Monthly, in advance

Mode of payment of NC:

Lump sum at the beginning of the year

Review

LRB accrued at age 65 and payable as of January 1, 2005:

1.5% × $50,000 × 8
= $6,000

LRB accrued at age 66 for service between ages 65 and 66 and payable as of January 1, 2006:

= 1.5% × $51,667 × 1
= $775

LRB accrued at age 67 for service between ages 66 and 67 and payable as of January 1, 2007:

= 1.5% × $55,000 × 1
= $825

LRB projected to age 68 for service between ages 67 and 68 and payable as of January 1, 2008:

= 1.5% × $59,133 × 1
= $887

LRB projected to age 69 for service between ages 68 and 69 and payable as of January 1, 2009:

= 1.5% × $62,432 × 1
= $936

Total projected LRB to retirement date for all years of service:

= 1.5% × $62,432 ×12
= $11,238

Projected LRB to retirement date for years of service before January 1, 2005:

= 1.5% × $62,432 ×8
= $7,492

The actuarial liability (AL) as at the valuation date is determined as follows:

AL@1/1/2007 =

The image represents the actuarial liability as at January 1, 2007: The sum of LRB in respect of periods of service up to January 1, 2005: (i.e. $7,492 plus the greater of 0 and the excess of $6,000 increased with the pre-retirement valuation rate from 65 to 69 times the ratio of the annuity factor at age 65 based on a rate of 3.41 percent to the annuity factor at age 69 based on a rate of 3.41 percent over $7,492) plus the LRB between age 65 and age 66 (i.e. $936 plus the greater of 0 and the excess of $775 increased with the pre-retirement valuation rate from 65.5 to 69 times the ratio of the annuity factor at age 65.5 based on a rate of 3.41 percent to the annuity factor at age 69 based on a rate of 3.41 percent over $936) plus the LRB between age 66 and age 67 (i.e. $936 plus the greater of 0 and the excess of $825 increased with the pre-retirement valuation rate from 66.5 to 69 times the ratio of the annuity factor at age 66.5 based on a rate of 3.41 percent to the annuity factor at age 69 based on a rate of 3.41 percent over $936) times; the annuity factor at age 69 based on a rate of 3.41 percent and times; the discount factor between age 67 and age 69 with a rate of 6 percent

The normal costs are computed as follows:

NC for year 2007 =

The image represents the normal cost for the year 2007: LRB between age 67 and age 68 (i.e. $936 plus the greater of 0 and the excess of $887 increased with the pre-retirement valuation rate from 67.5 to 69 times the ratio of the annuity factor at age 67.5 based on a rate of 3.41 percent to the annuity factor at age 69 based on a rate of 3.41 percent over $936) times; the annuity factor at age 69 based on a rate of 3.41 percent and times; the discount factor between age 67 and age 69 with a rate of 6%

NC for year 2008 =

The image represents the normal cost for the year 2008: LRB between age 68 and age 69 (i.e. $936 plus the greater of 0 and the excess of $936 increased with the pre-retirement valuation rate from 68.5 to 69 times the ratio of the annuity factor at age 68.5 based on a rate of 3.41 percent to the annuity factor at age 69 based on a rate of 3.41 percent over $936) times; the annuity factor at age 69 based on a rate of 3.41 percent and times;the discount factor between age 68 and age 69 with a rate of 6 percent

Example 2

An individual participates in a single-employer defined benefit RPP.

The individual's pensionable earnings have been historically higher than what is required to yield the 8504(1) maximum LRB from the plan.

The member entered the plan on January 1, 1997, turned 65 as of January 1, 2005, and has decided to delay his retirement. A valuation is being prepared with an effective date of January 1, 2007.

Plan Provisions

Effective date:

January 1, 1991

Benefit formula:

2.0% of indexed earnings for each calendar year

Normal retirement age:

65

Normal form of pension:

Joint and survivor with 662/3% survivor pension and guaranteed for 5 years

Post Retirement indexing:

Fully indexed to CPI

Provision of DB Limit projection:

Yes

Actuarial equivalence on account of delayed retirement:

Yes

Employee Data

Shareholder (Y/N):

Yes; (connected person)

Sex:

Male

Date of birth:

January 1, 1940

Date of hire:

January 1, 1997

Attained age:

67

Pensionable service:

10 years

Earnings:

Maximum for all years

Actuarial Assumptions

Valuation date:

January 1, 2007

Valuation rate (before retirement):

The image represents the pre-retirement valuation rate of 7.5 percent

Salary increase:

The image represents the salary increase rate of 5.5 percent

Inflation rate (i.e. CPI):

4.0%

Indexation of pension:

CPI-1 %

Valuation rate (after retirement):

The image represents the post-retirement valuation rate of 4.37 percent (i.e. ratio 1 plus 7.5 percent to 1 plus 3.5 percent and less 1)

DB Limit projection rate:

5.5% per annum commencing January 1, 2010

Mortality table:

GAM83 Unisex 50% males & 50% females, 80% mortality rates (post-retirement only)

Retirement Date:

January 1, 2009

Retirement age:

69

Spouse's age:

Same as member

Funding method:

Projected Accrued Benefit

Payment mode of retirement benefits:

Monthly, in advance

Mode of payment of NC:

Lump sum at the beginning of the year

Review

LRB accrued at age 65 and payable as of January 1, 2005:

= $2,000 × 8
= $16,000

LRB accrued at age 66 for service between ages 65 and 66 and payable as of January 1, 2006:

= $2,111

LRB accrued at age 67 for service between ages 66 and 67 and payable as of January 1, 2007:

= $2,222

LRB projected to age 68 for service between ages 67 and 68 and payable as of January 1, 2008:

= $2,333

LRB projected to age 69 for service between ages 68 and 69 and payable as of January 1, 2009:

= $2,444

Total projected LRB to retirement date for all years of service:

= $2,444 × 12
= $29,328

Projected LRB to retirement date for years of service before January 1, 2005:

= $ 2,444 × 8
= $19,552

AL@1/1/2007 =

The image represents the actuarial liability as at January 1, 2007: The sum of LRB in respect of periods of service up to January 1, 2005: (i.e.$19,552 plus the greater of 0 and the excess of $16,000 increased with the pre-retirement valuation rate from 65 to 69 times the ratio of the annuity factor at age 65 based on a rate of 4.37 percent to the annuity factor at age 69 based on a rate of 4.37 percent over $19,552) plus the LRB between age 65 and age 66 (i.e. $2,444 plus the greater of 0 and the excess of $2,111 increased with the pre-retirement valuation rate from 65.5 to 69 times the ratio of the annuity factor at age 65.5 based on a rate of 4.37 percent to the annuity factor at age 69 based on a rate of 4.37 percent over $2,444) plus the LRB between age 66 and age 67 (i.e. $2,444 plus the greater of 0 and the excess of $2,222 increased with the pre-retirement valuation rate from 66.5 to 69 times the ratio of the annuity factor at age 66.5 based on a rate of 4.37 percent to the annuity factor at age 69 based on a rate of 4.37 percent over $2,444) times; the annuity factor at age 69 based on a rate of 4.37 percent and times; the discount factor between age 67 and age 69 with a rate of 7.5 percent

The image represents the actuarial liability as at January 1, 2007: The sum of LRB in respect of periods of service up to January 1, 2005: (i.e.$19,552 plus the greater of 0 and the excess of $16,000 increased with the pre-retirement valuation rate from 65 to 69 times the ratio of the annuity factor at age 65 based on a rate of 4.37 percent to the annuity factor at age 69 based on a rate of 4.37 percent over $19,552) plus the LRB between age 65 and age 66 (i.e. $2,444 plus the greater of 0 and the excess of $2,111 increased with the pre-retirement valuation rate from 65.5 to 69 times the ratio of the annuity factor at age 65.5 based on a rate of 4.37 percent to the annuity factor at age 69 based on a rate of 4.37 percent over $2,444) plus the LRB between age 66 and age 67 (i.e. $2,444 plus the greater of 0 and the excess of $2,222 increased with the pre-retirement valuation rate from 66.5 to 69 times the ratio of the annuity factor at age 66.5 based on a rate of 4.37 percent to the annuity factor at age 69 based on a rate of 4.37 percent over $2,444) times; the annuity factor at age 69 based on a rate of 4.37 percent and times; the discount factor between age 67 and age 69 with a rate of 7.5 percent

The image represents the actuarial liability as at January 1, 2007: The sum of LRB in respect of periods of service up to January 1, 2005: (i.e.$19,552 plus the greater of 0 and the excess of $16,000 increased with the pre-retirement valuation rate from 65 to 69 times the ratio of the annuity factor at age 65 based on a rate of 4.37 percent to the annuity factor at age 69 based on a rate of 4.37 percent over $19,552) plus the LRB between age 65 and age 66 (i.e. $2,444 plus the greater of 0 and the excess of $2,111 increased with the pre-retirement valuation rate from 65.5 to 69 times the ratio of the annuity factor at age 65.5 based on a rate of 4.37 percent to the annuity factor at age 69 based on a rate of 4.37 percent over $2,444) plus the LRB between age 66 and age 67 (i.e. $2,444 plus the greater of 0 and the excess of $2,222 increased with the pre-retirement valuation rate from 66.5 to 69 times the ratio of the annuity factor at age 66.5 based on a rate of 4.37 percent to the annuity factor at age 69 based on a rate of 4.37 percent over $2,444) times; the annuity factor at age 69 based on a rate of 4.37 percent and times; the discount factor between age 67 and age 69 with a rate of 7.5 percent

NC for year 2007 =

The image represents the normal cost for the year 2007: LRB between age 67 and age 68 (i.e. $2,444 plus the greater of 0 and the excess of $2,333 increased with the pre-retirement valuation rate from 67.5 to 69 times the ratio of the annuity factor at age 67.5 based on a rate of 4.37 percent to the annuity factor at age 69 based on a rate of 4.37 percent over $2,444) times; the annuity factor at age 69 based on a rate of 4.37 percent and times; the discount factor between age 67 and age 69 with a rate of 7.5%

NC for year 2008 =

The image represents the normal cost for the year 2008: LRB between age 68 and age 69 (i.e. $2,444 plus the greater of 0 and the excess of $2,444 increased with the pre-retirement valuation rate from 68.5 to 69 times the ratio of the annuity factor at age 68.5 based on a rate of 4.37 percent to the annuity factor at age 69 based on a rate of 4.37 percent over $2,444) times; the annuity factor at age 69 based on a rate of 4.37 percent and times; the discount factor between age 68 and age 69 with a rate of 7.5 percent

Example 3

A single-employer defined benefit RPP is established effective January 1, 2007.

The individual has been employed with the company for ten years and has had earnings that have been historically higher than what is required to yield the 8504(1) maximum LRB from the plan.

The individual is currently age 67 and has decided to delay her retirement. A valuation is being prepared with an effective date of January 1, 2007.

Plan Provisions

Effective date:

January 1, 2007

Benefit formula:

2% of indexed compensation for each year of service

Normal retirement age:

65

Normal form of pension:

Joint and survivor with 662/3% survivor pension and guaranteed for 5 years

Post Retirement indexing:

Fully indexed to CPI minus 1%

Provision of DB Limit projection:

Yes

Actuarial equivalence on account of

delayed retirement:

Yes

Employee Data

Shareholder (Y/N):

Yes; (connected person)

Sex:

Female

Date of birth:

January 1, 1940

Attained age:

67

Pensionable past service:

10 years

Salary:

$130,000 for each year of service

Accrued pension:

$22,222 per annum

Actuarial Assumptions

Valuation date:

January 1, 2007

Valuation rate (before retirement):

7.5%

Salary increase:

5.5%

Inflation rate (i.e. CPI):

4.0%

Indexation of pension:

CPI - 1%

Valuation rate (after retirement):

The image represents the post-retirement valuation rate of 4.37 percent (i.e. ratio 1 plus 7.5 percent to 1 plus 3.5 percent less 1)The image represents the post-retirement valuation rate of 4.37 percent (i.e. ratio 1 plus 7.5 percent to 1 plus 3.5 percent less 1)

DB Limit projection rate:

5.5% % per annum commencing
 

January 1, 2010

Mortality table:

GAM83 Unisex 50% males & 50% females 80% mortality rates (post-retirement only)

Retirement Date:

January 1, 2009

Retirement age:

69

Spouse age:

Same age as member

Funding method:

Projected Accrued Benefit

Payment mode of retirement benefits:

Monthly, in advance

Mode of payment of CSC:

Lump sum at the beginning of the year

Review

LRB accrued at age 67 and payable as of January 1, 2007:

= $2,222 × 10
= $22,220

Projected LRB to age 68 for service between ages 67 and 68 and payable as of January 1, 2008:

= $2,333

Projected LRB to age 69 for service between ages 68 and 69 and payable as of January 1, 2009:

= $2,444

Total projected LRB to retirement date for all years of service:

= $2,444 × 12
= $29,328

Projected LRB to retirement date for years of service before January 1, 2007:

=
= $24,440

AL @1/1/2007 =

The image represents the actuarial liability as at January 1, 2007:LRB in respect of periods of service up to January 1, 2007: (i.e. $24,440 plus the greater of 0 and the excess of $22,220 increased with the pre-retirement valuation rate from 67 to 69 times the ratio of the annuity factor at age 67 based on a rate of 4.37 percent to the annuity factor at age 69 based on a rate of 4.37 percent over $24,440) times; the annuity factor at age 69 based on a rate of 4.37 percent and times; the discount factor between age 67 and age 69 with a rate of 7.5 percent

NC for year 2007 =

The image represents the normal cost for the year 2007: LRB between age 67 and age 68 (i.e. $2,444 plus the greater of 0 and the excess of $2,333 increased with the pre-retirement valuation rate from 67.5 to 69 times the ratio of the annuity factor at age 67.5 based on a rate of 4.37 percent to the annuity factor at age 69 based on a rate of 4.37 percent over $2,444) times; the annuity factor at age 69 based on a rate of 4.37 percent and times;the discount factor between age 67 and age 69 with a rate of 7.5%

NC for year 2008 =

The image represents the normal cost for the year 2008: LRB between age 68 and age 69 (i.e. $2,444 plus the greater of 0 and the excess of $2,444 increased with the pre-retirement valuation rate of from 68.5 to 69 times the ratio of the annuity factor at age 68.5 based on a rate of 4.37 percent to the annuity factor at age 69 based on a rate of 4.37 percent over $2,444) times; the annuity factor at age 69 based on a rate of of4.37 percent and times; the discount factor between age 68 and age 69 with a rate of 7.5 percent

Date Modified: 2011-08-23

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Important Notices