Pension Study Guide
Study Guide
📖 Core Concepts
Pension – A fund that receives regular contributions during an individual’s working life and pays periodic retirement benefits.
Defined Benefit (DB) Plan – Benefit is pre‑specified by a formula (e.g., years of service × final salary × accrual rate). Employer bears investment risk.
Defined Contribution (DC) Plan – Contributions are fixed; the retirement amount depends on investment returns. Employee bears investment risk.
Funding Types
Funded (pre‑funded) – Contributions are invested to build reserves that will pay future benefits.
Pay‑as‑You‑Go (PAYG, unfunded) – Current contributions finance today’s retirees; no reserve is built.
Pillar Structure (four‑pillar model)
Zero pillar – Non‑contributory, state‑financed basic safety net.
First pillar – Mandatory public, PAYG, earnings‑related (basic state pension).
Second pillar – Mandatory DB/DC occupational schemes; insurance against relative poverty.
Third pillar – Voluntary private savings (personal pensions, occupational private schemes).
Fourth pillar – Informal family support and individual assets (home equity, reverse mortgage).
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📌 Must Remember
Benefit formula (DB): \[
\text{Annual Pension}= \text{Years Worked}\times\text{Final Salary}\times\text{Accrual Rate}
\]
Accrual rate typically 1/60 – 1/80 of final salary per year of service.
Inflation indexing preserves purchasing power; many plans cap adjustments (e.g., ≤ 5 %/yr).
Early‑retirement penalty: reduced monthly payment to reflect a longer payout period.
Investment risk lies with employer in DB, employee in DC.
Underfunding = assets < present value of future liabilities → pension crises for public plans.
Dependency ratio = workers / retirees; higher ratio → more sustainable PAYG system.
Actuarial fairness: discounted contributions = discounted expected benefits for each individual.
Key reforms often adjust contribution rates, benefit levels, or retirement age to restore balance.
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🔄 Key Processes
Calculating a DB benefit
Determine years of service and final (or average) salary.
Apply accrual rate → annual pension.
Adjust for inflation (capped) and any early‑retirement reduction.
Building a DC account
Employer (and often employee) contribution = % of salary each pay‑period.
Choose investment options (stocks, bonds, mixed funds).
Account balance grows with contributions + investment earnings.
At retirement, balance may be taken as lump‑sum or used to buy a life annuity.
Actuarial valuation (funded DB)
Project future benefit payments (using mortality tables, salary growth, inflation).
Discount cash flows at an assumed interest rate → liability value.
Compare liability to asset market value → funding ratio.
PAYG financing
Collect current payroll taxes/contributions.
Disburse benefits to existing retirees.
Monitor dependency ratio; adjust contribution rates or retirement age as needed.
Hybrid (cash‑balance) plan calculation
Credit each year with a pay‑roll credit (e.g., 5 % of salary) plus an interest credit (e.g., 4 %).
Resulting “account balance” is promised at retirement, but employer still bears investment shortfall risk.
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🔍 Key Comparisons
DB vs. DC
Benefit certainty: DB → fixed; DC → uncertain.
Risk: DB → employer; DC → employee.
Portability: DB – limited; DC – high (individual accounts).
Funded vs. PAYG
Financing: Funded → assets built today; PAYG → today’s workers pay today’s retirees.
Sensitivity: Funded – market returns; PAYG – demographic changes (dependency ratio).
State vs. Occupational pensions
Source: State – tax/mandatory contributions; Occupational – employer‑sponsored.
Coverage: State – universal (or means‑tested); Occupational – only employees of participating firms.
Cash‑balance vs. Traditional DB
Expression: Cash‑balance – “account balance”; DB – monthly annuity formula.
Risk: Cash‑balance – employer still guarantees interest credit; DB – employer guarantees full benefit.
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⚠️ Common Misunderstandings
“Pension = severance pay.” – Severance is a one‑time lump sum; pensions provide ongoing payments.
“DC plans guarantee retirement income.” – Only the contribution amount is guaranteed; the final income depends on investment performance.
“All pensions are fully funded.” – Many state schemes are PAYG; many DB plans are underfunded.
“Employer always pays the full cost of a DB plan.” – Contributions are shared, but actuarial shortfalls may require additional employer funding.
“Inflation indexing always matches CPI.” – Indexing often uses a specific index (e.g., Retail Prices Index) and may have caps.
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🧠 Mental Models / Intuition
Insurance analogy: DB = “salary insurance” (you pay premiums, insurer promises a set payout).
Savings account analogy: DC = your personal investment account; you control contributions and asset choices.
Water‑pipe model for PAYG: Current workers flow money through a pipe that immediately feeds retirees; no reservoir is stored.
Risk‑sharing pool: Hybrid schemes (collective DC, target‑benefit) are like a communal pot where all members share investment and longevity risk.
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🚩 Exceptions & Edge Cases
Early‑retirement reduction – Benefit may be cut by a fixed percentage (e.g., 6 % per year before normal retirement age).
Inflation cap – Some plans limit annual indexation (e.g., ≤ 5 %); high inflation can erode real value.
Tiered systems – Different benefit formulas for employees hired before/after a cut‑off date.
Zero‑pillar benefits – Non‑contributory, often means‑tested, and may be far below a full retirement income.
Annuity purchase – Not automatic; participants must decide whether to buy a life annuity with their DC balance.
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📍 When to Use Which
DB formula – Use when the question states “defined benefit”, “final‑salary”, or provides years of service & salary.
DC balance projection – Use when given contribution rate, salary growth, and expected investment return.
PAYG sustainability check – Apply when the problem mentions current contribution rates, dependency ratio, or demographic trends.
Hybrid (cash‑balance) valuation – Use when a “guaranteed account balance” is cited alongside employer interest credit.
Actuarial fairness test – Choose when asked to compare present value of contributions vs. benefits for an individual.
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👀 Patterns to Recognize
“Accrual rate × years × salary” → DB benefit.
“Contribution % of salary + investment return” → DC accumulation.
“Current workers per retiree” → PAYG solvency indicator.
“Indexing capped at X %” → potential real‑value erosion in high‑inflation environments.
“Tiered benefit based on hire date” → look for different retirement ages or accrual rates within the same system.
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🗂️ Exam Traps
Distractor: “Employer bears all risk in a DC plan.” – Wrong; employee bears investment risk.
Distractor: “All state pensions are fully funded.” – Incorrect; many are PAYG.
Distractor: “Early‑retirement always increases annual pension.” – Opposite; it usually reduces the monthly amount.
Distractor: “Inflation indexing guarantees exact cost‑of‑living adjustment.” – Indexing may be capped.
Distractor: “Cash‑balance plans are pure DC.” – They blend DB guarantees (interest credit) with DC‑style accounting.
Distractor: “A higher contribution rate automatically solves underfunding.” – May improve funding but also raises payroll costs and can be politically infeasible.
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