Spring 2021 Retirement Benefits—Funding And Regulation Exam

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Exam RETFRCFunding & Regulation Exam - CanadaDate: Wednesday, April 28, 2021INSTRUCTIONS TO CANDIDATESGeneral InstructionsWritten-Answer Instructions1. This examination has 12 questions numbered 1through 12 with a total of 100 points.1. Each question part or subpart should be answeredeither in the Word document or the Excel file asdirected. Graders will only look at work in theindicated file.The points for each question are indicated at thebeginning of the question.2. While every attempt is made to avoid defectivequestions, sometimes they do occur. If you believea question is defective, the supervisor or proctorcannot give you any guidance beyond theinstructions provided in this document.a) In the Word document, answers should beentered in the box marked ANSWER. The boxwill expand as lines of text are added. There isno need to use special characters or subscripts(though they may be used). For example, β1 canbe typed as beta 1 (and used to indicate asuperscript).b) In the Excel document formulas should beentered. Performing calculations on scratchpaper or with a calculator and then entering theanswer in the cell will not earn full credit.Formatting of cells or rounding is not requiredfor credit.2. The answer should be confined to the question asset.3. Prior to uploading your Word and Excel files, eachfile should be saved and renamed with your fivedigit candidate number in the filename.4. The Word and Excel files that contain youranswers must be uploaded before time expires.Recognized by the Canadian Institute of Actuaries. 2021 by the Society of Actuaries475 N. Martingale RoadSchaumburg, IL 60173

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1.(7 points) You are the actuary for Company XYZ, which sponsors a defined benefitpension plan. You are provided with the key plan provisions below:ProvisionNormal retirement benefitDescriptionMonthly benefit per year of credited service inaccordance with the following table:For credited serviceMonthly Benefit AmountBefore 2008 35From 2008 to 2011 40From 2012 to 2015 42Starting in 2016 43Normal form of payment:Normal retirement age:Early retirement benefit:Life only, payable monthly in advanceAge 656% reduction for each year prior to age 65Deferred pension payable at age 65; or lump sumcommuted value transfer from the planTermination benefit:You are also given the following membership data at December 31, 2020:Data – ActiveID2301023012250122702265024Date of 01/198903/04/1991Date 01/200601/01/2020SexFMMMFService(years)151214Data – InactiveID230111012110231202312036StatusAgeSexForm of 5898728162FMFMMJoint & SurvivorLife Guarantee 5Life Guarantee 10LifeLifePensionamount 3,000 7,200 14,000 2,203 1,220You are performing the funding valuation as at December 31, 2020.Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

1.Continued(a)(3 points) Identify potentially incorrect, missing, or incomplete data required forthe actuarial valuation.ANSWER:You have requested that Company XYZ provide additional and/or revised data.Company XYZ has indicated that additional data is not easily accessible and they do nothave the resources to collect that data.(b)(2 points) Describe how you would proceed with a funding valuation, taking intoconsideration the Standards of Practice.ANSWER:Company XYZ has now informed you that they will be winding up the pension plan, withan effective date of December 31, 2020.(c)(2 points) Describe how you would proceed with the plan wind-up valuation,taking into consideration the Standards of Practice.ANSWER:Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

2.(11 points) Your client sponsors a non-contributory defined benefit pension plan. Youare given:Plan Provisions:Normal retirement benefit:Normal form of payment:Optional forms of payment:Normal retirement age:Early retirement benefit:2% of final year’s earnings times years of serviceLife only, payable monthly in advanceActuarially-equivalent to normal formAge 655% reduction for each year prior to age 65Deferred pension payable at age 65 or lump sumcommuted value transfer from the planTermination benefit:Retirement from age 55 possible on an actuariallyequivalent basisActuarial Assumptions and Methods:Interest rate:5% per yearSalary increase rate:3% per yearRetirement rates:Age606365All other agesTermination rates:Age4045All other agesPre-retirement mortality:NoneTiming of decrements:Beginning of yearActuarial cost method:AggregateAsset valuation method:Market ValueExam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRate25%50%100%0%Rate3%2%0%RETFRC 0421.docx

2.ContinuedParticipant Data at December 31, 2020:Member AMember BAge40552020 Salary: 55,000 65,000Service:1010Member C64 80,00013Annuity Factors:ሺଵଶሻ15.6äହହሺଵଶሻ14.8ä ሺଵଶሻ14.1ä ଷሺଵଶሻ13.6ä ସሺଵଶሻ13.3ä ହAdditional Information:Market value of assets as at December 31, 2020:(a) 450,000(5 points) Calculate the accrued liability and estimated normal cost of the plan, indollars, as at December 31, 2020.The response for this part is to be provided in the Excel spreadsheet.You are given:Fund rate of return during 2021:10%Contribution made on December 31, 2021 50,000Member A earned the following salary in 2021: 56,000Member B earned the following salary in 2021: 79,000Member C retired at January 1, 2021 and started collecting his monthlypension effective January 1, 2021(b)(6 points) Calculate the gains and losses by source for 2021.The response for this part is to be provided in the Excel spreadsheet.Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

3.(13 points) Your client sponsors a single-employer non-indexed closed defined benefitpension plan registered in Ontario. The plan is not a designated plan as defined under theIncome Tax Act.You are given the following valuation results as at December 31, 2020:Going concern assets (including buy-in annuity; excluding present valueof special payments previously established in respect of any past serviceunfunded actuarial liability)Going concern liabilities (including buy-in annuity; excluding PfAD)Buy-in annuity value included in going concern assets and liabilitiesGoing concern annual employer current service cost (excluding PfAD)Annual provision for administrative expensesGoing concern discount rate (net of investment expenses; gross ofadministrative expenses)Provision for adverse deviations ("PfAD")Going concern annual special payments payable in 2021 from priorvaluationDuration of going concern liabilities (excluding buy-in annuity)Duration of total going concern current service costSolvency assets (including buy-in annuity before wind-up expenses)Solvency liabilitiesBuy-in annuity value included in solvency assets and liabilitiesSolvency annual special payment payable in 2021 from prior valuationSolvency blended discount rate (for calculation of special payments)Provision for wind-up expenses 25,600,000 30,000,00010,000,000120,00050,0006.00%16.04% 200,0001620 31,400,00038,800,00015,800,00003.2%200,000There are no allowable exclusions from the solvency liabilities (e.g. consent benefits).(a)(3 points) Calculate the minimum required and maximum permissible employercontributions in 2021.The response for this part is to be provided in the Excel spreadsheet.Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

3.ContinuedYou are given the following:Pension fund assets at December 31, 2021 excluding the value ofthe buy-in annuityBenefit payments for portion of liabilities not backed by the buy-inannuity in 2021Benefit payments for portion of liabilities backed by the buy-inannuity in 20212021 total going concern current service costSolvency incremental cost excluding buy-in annuity in 2021There are no liability gains or losses during the periodAll assumptions remain the same as at December 31, 2020The going concern discount rate is net of passive investmentexpenses of: 14,400,000 200,000 600,000 150,000250,0000.05%The target asset allocation is the following:Fixed income assetsNon-fixed income assets45%55%Non-Fixed Income component of the Provision for Adverse Deviations (PfAD):% of Non-FixedClosed Plans Open PlansIncome %15%8%100%23%12%Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

3.Continued Benchmark Yield of Government of Canada Long-Term Bonds (V39056) atDecember 31, 2021 is 2.00% The formula to determine the benchmark discount rate that is used in thedetermination of the PfAD is:0.5% Benchmark Yield of Government of Canada Long-Term Bonds 5% allocation of non-fixed income 1.5% allocation of fixed income(b)(10 points) Calculate the minimum required and maximum permissible employercontributions for 2022, rolling forward liabilities and current service costs usingextrapolation techniques.The response for this part is to be provided in the Excel spreadsheet.Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

4.(6 points) Company XYZ sponsors a large defined benefit pension plan. The followingis a summary of the key plan provisions:Plan Provisions:Normal retirement benefit:Normal retirement age:Early retirement benefit:2% of final year’s earnings times years of serviceAge 65Unreduced at age 62 with 20 years of credited service;Otherwise 0.25% reduction per month for retirementsbefore age 65Deferred pension payable at age 65 or lump sumcommuted value transfer from the planTermination benefit:Retirement from age 55 possible on an actuariallyequivalent basisYou have performed a demographic experience study for the plan’s going concernfunding valuation. The results for the retirement and termination decrements are asfollows:Retirement -620.1062-640.1065 and over 1.00Termination AssumptionCurrentAgeAssumptionUnder 250.1525-340.1035-440.0545-540.0255 and over 030.020.050.00Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

4.ContinuedAssume the following: (a)Experience is credible for the retirement decrement; andExperience is not credible for the termination decrement.(4 points) Assess the appropriateness of the current retirement and terminationassumptions.ANSWER:The early retirement benefit was changed as follows: (b)Unreduced with 30 years of credited service; orUnreduced at age 62 with 20 years of credited service;Otherwise 0.25% reduction per month for retirements before age 65(2 points) Recommend changes to the current retirement assumption. Justifyyour recommendation.ANSWER:Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

5.(7 points) You are the actuary for Company ABC which sponsors a single-employerfinal-average salary-based defined benefit pension plan registered in Ontario.You are preparing the actuarial valuation report for funding purposes as at January 1,2021 for the plan.(a)(3 points) List the disclosure requirements for the actuarial valuation reportaccording to the Standards of Practice.ANSWER:(b)(4 points) Describe three plausible adverse scenarios that you would include inthe valuation report, including the elements required for reporting on eachscenario.ANSWER:Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

6.(6 points) Company ABC sponsors a defined benefit pension plan registered in Ontario.You are given:Membership Data as at January 1, 2019:Date ofMemberClassSalaryMembershipXAJanuary 1, 2015 90,000 YAJanuary 1, 2000 180,000 Bonus18,00036,000Pension Plan Provisions:1.8% of final average 3-year salary (FAE3) times credited serviceRetirement benefitBase pay, including bonusesEarningsMember contributionNo member contributions are allowedrateNormal retirement age Age 65Accrual of benefits continues with salary frozen at the salary inDisabilitythe year prior to disabilityCompany ABC Pay Scale for all Class A Members:Years of membershipAnnual Pay Scale0 to 54.5% p.a. increase5 to 103.0% p.a. increase10 to 152.5% p.a. increase15 1.0% p.a. increaseBonus: 20% of salary if meeting 100% of sales target; otherwise, no bonus payable.Income Tax Act defined benefit dollar limit for 2020: 3,092.22Effective December 31, 2019, Member X goes on an authorized leave of absence(disability leave) for one year. Member Y remains active, received only the payadjustment identified above for Class A members, and achieved 100% of her sales target.Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

6.Continued(a)(3 points) Calculate the 2020 Pension Adjustment for Members X and Y.The response for this part is to be provided in the Excel spreadsheet.(b)(3 points) Describe the benefit improvements than can be made to maximize thepension benefit payable from the plan without generating a Past Service PensionAdjustment.ANSWER:Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

7.(7 points) You have recently been hired by ABC Company to provide actuarial servicesfor its single-employer defined benefit pension plan. While reviewing the last filedActuarial Valuation Report (“AVR”) for funding purposes at January 1, 2020, you noticethat the termination assumption was set by the prior actuary based on an experience studyusing plan data from 2015 to 2019, the results of which had significantly increased theassumed termination rates compared to that of the previously filed AVR.After a discussion with your contact at ABC Company, you are told that the company hadexperienced a significant downsizing from 2017 to 2019 as part of a restructuring effort,which is now completed. No further downsizing is planned or expected.(a)(2 points) Assess the appropriateness of the termination assumption used in theJanuary 1, 2020 AVR.ANSWER:(b)(2 points) Describe how the termination assumption should have been developedbased on the Standards of Practice.ANSWER:(c)(3 points) Describe the steps that should be taken and considerations fordeveloping the credibility procedure for using the experience data.ANSWER:Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

8.(8 points) You are given the following information for a member terminating from asingle-employer defined benefit pension plan registered in Ontario:Member data:Date of birthDate of terminationPensionable service (years)Eligibility service (years)Accrued benefit Plan provisions:Normal retirement ageNormal retirement benefitEligibility for early retirementEarly retirement benefitTermination benefitJanuary 1, 1966January 1, 2021101125,000Age 651.5% times the sum of earnings for each year ofpensionable serviceAge 55Unreduced with 80 age-plus-service points (servicebased on Eligibility service);otherwise 2% per year from age 65Deferred pension starting at age 65Payable from age 55 in accordance with the Earlyretirement benefitPortabilityParticipants may choose a lump-sum commuted value inlieu of an immediate or deferred pension at all agesCost-of-living adjustments50% of CPI, pre- and post-retirementExam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

8.ContinuedAdditional 20MonthJanuary2021December2020November2020V122542 V122544 V122553(7 year)(long)(real)Mid-TermProvincialBond IndexMid-TermCorporateBond IndexLong-TermProvincialBond IndexLong-TermCorporateBond 2.40%3.21%Mid-Term FederalNon-AgencyBond IndexLong-Term FederalNon-AgencyBond Index1.38%1.53%1.71%1.76%1.57%1.67%Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

8.ContinuedAnnuity factors:ä 55(12)23.91 ä 55(12)22.92 ä 55(12)22.03 ä 55(12)21.04 ä 55(12)20.05 ä 55(12)19.26 ä 55(12)18.37 ä 55(12)17.48 ä 55(12)16.59 ä 55(12)15.710 ä 55(a)(12)14.9(4 points) Calculate the commuted value interest rates under Section 3500 of theCanadian Institute of Actuaries' Standards of Practice as at the member's date oftermination.The response for this part is to be provided in the Excel spreadsheet.(b)(4 points) Calculate the commuted value at the member's date of terminationassuming the member terminated:(i)Voluntarily; and(ii)Involuntarily.The response for this part is to be provided in the Excel spreadsheet.Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

9.(15 points) You are performing a funding valuation as at December 31, 2020 for adefined benefit pension plan registered in Ontario.Calculate the one (1)-year Solvency Incremental Cost for the defined pension plandescribed below.The response for this part is to be provided in the Excel spreadsheet.You are given:Plan ProvisionsNormal retirement ageNormal retirement benefitNormal formEligibility for early retirementEarly retirement benefitAge 651.5% times 3-year final average earnings (FAE3) times yearsof credited serviceLife only; Joint & 60% survivor for participants with aspouse on retirement, actuarially equivalent to Life onlyAge 55Reduced by 4% per year from age 65Deferred pension starting at age 65Termination benefitPortabilityCost-of-living adjustmentsExam RETFRC: Spring 2021Funding & Regulation Exam – CanadaPayable from age 55 on an actuarially equivalent basisParticipants may choose a lump-sum commuted value in lieuof an immediate or deferred pension at all agesNoneRETFRC 0421.docx

9.ContinuedSolvency Valuation AssumptionsInterest rates:Lump-sum commuted values 2.50% per year for 10 years; and 2.50% thereafterAnnuity Purchase2.50% per yearMortality rates (post-retirement):CPM2014 Mortality Table (Combined) with mortalityLump-sum commuted valuesimprovements in accordance with CPM Improvement Scale BAnnuity purchaseCPM2014 Mortality Table (Combined) with mortalityimprovements in accordance with CPM Improvement Scale BMortality rates (pre-retirement):Lump-sum commuted values NoneAnnuity purchaseNone100% of active participants assumed to elect a lump-sumOption Electioncommuted valueGoing Concern Valuation AssumptionsSalary increases3.00% per year, inclusive of merit and promotionCPM2014 Mortality Table (Combined) withMortality ratesmortality improvements in accordance with CPM(post-retirement)Improvement Scale BMortality rates (pre-retirement) NoneAgeRate6015%6215%Retirement Rates65100%All other ages0%AgeRate353%402%Termination Rates451%All other ages0%Timing of DecrementsBeginning of yearExam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

9.ContinuedProjection assumptions required for Solvency Incremental CostNew entrantsNone100% of active participants assumed to elect aOption Election upon lump-sum commuted valueTermination orRetirementThe lump-sum commuted value is calculatedusing solvency valuation assumptionsIn accordance with Going Concern ValuationAssumptionsAll other assumptionsAssume inactive participants survive to the nextvaluationParticipant Data at December 31, 2020Earnings Earnings Earnings Monthly Creditedin 2020in 2019in 2018Pension tiveActiveMaleMaleMale334059 65,000 72,000 82,500 63,000 71,500 81,000 62,500 70,400 80,000N/AN/AN/A10.016.020.030001Retired life onlyMale70N/AN/AN/A 2,000N/AExam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

9.ContinuedAnnuity Factors# of years 115Annuity FactorDecember 31, 2020December 31, 9.969.459.4715.4315.4514.7814.79Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

9.ContinuedAnnuity Factors# of years y FactorsDecember 31, 2020December 31, 6615.8115.8415.0115.0414.2214.2613.6813.72Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

10.(9 points) You are the actuary for a defined benefit pension plan.(a)(6 points) Describe the considerations in setting the following assumptions for asolvency valuation:(i)mortality rates assumption;(ii)portion electing a commuted value;(iii)wind-up expenses;(iv)increase in average wage indexANSWER:(b)(3 points) Describe the considerations for setting the assumptions required whendetermining the solvency incremental cost.ANSWER:Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

11.(5 points) Describe ways in which the regulatory framework provided by the PensionBenefits Act (Ontario) adheres to “Core Principle 5. Plan design, pension benefits,disclosure and redress” from the OECD Core Principles of Private Pension Regulation.ANSWER:Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

12.(6 points) Company ABC sponsors a single-employer defined benefit pension plan.Company ABC has implemented an investment strategy to mitigate the volatility of thesolvency funded status caused by changes in interest rates. Company ABC would like tofurther reduce the volatility of the solvency funded status by changing the asset valuationmethod.Company ABC is considering one of the asset valuation methods described below:Asset ValuationMethod1. Unit method(10-year average)Description 2. 20% Corridor based on expected income3. Deferredrecognition ofequity returns only Assets are viewed as being comprised of a certain number of“units” and the actuarial value of assets at the valuation dateis equal to:o The number of units; multiplied by,o The average value of a unit over an averaging periodof ten years.At inception of this method, the value of a unit is set to 100and the initial number of units is set equal to the marketvalue of assets divided by 100.Over time, cash flows will change the number of unitsthroughout the year, and the value of a unit is recalculatedonce per year at the valuation date and remains fixed for theyear.The actuarial value of assets is set such that it falls within a20% corridor, where the corridor is plus or minus 20% of themarket value at the beginning of the period plus an assumedgrowth of 4% (with adjustments for contributions and benefitpayments).Under this method, only a portion of investment experienceis recognized in the current year.Investment returns on the equity portion of the portfolio thatare greater or less than 5.5% are recognized evenly in thecurrent year and over the following four years.Assess the appropriateness of each of the above asset valuation methods to achieveCompany ABC’s objective, taking into consideration the Canadian Institute of Actuaries’guidance on asset valuation methods.ANSWER:**END OF EXAMINATION**Exam RETFRC: Spring 2021Funding & Regulation Exam – CanadaRETFRC 0421.docx

27022 01/01/1989 01/01/2020 M 1 65024 03/04/1991 F 4 Data – Inactive ID Status Age Sex Form of pension Pension amount 2301 Retiree 58 F Joint & Survivor 3,000 11012 Retiree 98 M Life Guarantee 5 7,200 11023 Retiree 72 F Life Gu

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