Longevity Risk Calculator

Why Longevity Risk Matters for Retirement Planning

Longevity risk is the probability of outliving retirement savings. A portfolio sustainable for 25 years may run out if retirement lasts 35 years — a difference that dramatically affects quality of life in late retirement. The calculator models portfolio sustainability by simulating year-by-year withdrawals adjusted for real returns. The resulting years-sustainable figure answers the core longevity question: does this portfolio last long enough given expected lifespan. Mismatch between years needed and years sustainable identifies the longevity risk specifically.

The Real Return Concept

Nominal returns include inflation; real returns represent purchasing power growth after inflation. A 7% nominal return during 3% inflation produces about 3.88% real return. Retirement spending needs grow with inflation, so real returns matter more than nominal for sustainability modelling. The calculator uses Fisher equation to convert nominal and inflation inputs into real return, then models withdrawals against real returns. This produces sustainability figures in real-purchasing-power terms rather than misleading nominal figures.

Realistic Return and Inflation Assumptions

Balanced retirement portfolio (60% stock/40% bond): 5-6% nominal return, 2-3% real return after 3% inflation. Aggressive retirement portfolio (80% stock): 6-8% nominal, 3-5% real. Conservative (40% stock/60% bond): 4-5% nominal, 1-2% real. Bond-heavy: 3-4% nominal, 0-1% real. Use rate that matches the specific portfolio allocation. Inflation assumption: 2-3% matches developed-economy long-run averages; higher assumptions stress-test the analysis.

Worked Example for a Typical Retirement

Current age 65. Retirement portfolio 1,000,000. Annual spending 50,000. Annual return 5%. Inflation rate 3%. Life expectancy 90. Real return: 1.94%. Years needed: 25. Simulation runs: portfolio depletes at approximately year 25. Portfolio outlasts expected lifespan with minimal margin — any adverse event (longer life, market downturn, spending increase) risks outliving the portfolio. Many planners suggest the portfolio should sustain beyond life expectancy by 5-10 years for safety margin.

What the Simulation Shows

Year-by-year portfolio balance: starts at initial value, grows at real return, reduces by annual spending. Balance either sustains to year X or depletes earlier. The calculator returns the year portfolio depletes. Portfolio outlasting expected life is good; portfolio depleting before expected life is dangerous — the household faces reduced spending or work income in late life. Both outcomes inform retirement planning adjustments.

How to Reduce Longevity Risk

Reduce annual spending: directly extends sustainability. A 10% spending cut typically extends sustainability by 3-5 years. Delay retirement: adds contribution years and reduces retirement years needed. Each year delayed typically extends total sustainability by 2-3 years. Increase portfolio allocation to stocks: higher expected returns if tolerance for volatility. Consider annuity for part of portfolio: converts longevity risk to insurance company. Add social security or pension income: reduces portfolio withdrawal need directly. Plan for part-time work in early retirement: reduces withdrawal during portfolio-sensitive years.

The Sequence of Returns Problem

The calculator assumes smooth annual returns. Real markets produce variable year-to-year returns. A portfolio that experiences poor returns in the first 5-10 years of retirement faces sequence of returns risk — early depletion that cannot recover even with later strong markets. Two retirees with identical average returns but different sequence patterns can produce dramatically different outcomes. The calculator does not model this variability; actual sustainability has more uncertainty than the smooth-simulation figure suggests.

Using the Calculator for Retirement Decisions

Run with current plan to see baseline sustainability. Test scenarios: reduce spending by 10%, 20%, 30% to see sustainability improvement. Test retirement age shifts: reduce years needed by delaying retirement. Test spending pattern changes: front-load spending early, reduce later. Test portfolio allocation scenarios: higher return assumption for more aggressive allocation. Each scenario reveals specific levers for addressing longevity risk. The calculator enables quick scenario testing for retirement planning.

What the Calculator Does Not Model

Variable returns over time (uses smooth annual rate). Variable spending patterns (uses constant annual figure). Healthcare costs that rise faster than general inflation. Long-term care needs that dramatically spike late-life expenses. Social security or pension income (subtract from annual spending if applicable). Part-time work income in early retirement. Inheritance expectations that might supplement portfolio. Housing downsizing that frees up equity. Market crash or sustained poor performance scenarios.

Patterns Commonly Observed in Longevity Risk

Using life expectancy figures without considering that half of people live beyond them. Assuming constant spending through retirement when late retirement often requires higher healthcare and assisted living costs. Using optimistic return assumptions that overstate sustainability. Ignoring inflation entirely or underestimating it. Not accounting for sequence of returns risk. Treating portfolio sustainability figure as certain rather than probabilistic. Planning for only average lifespan rather than buffering for longer-than-expected life. The calculator provides the baseline math; comprehensive planning layers in probability-based analysis.