Statistics Calculator

Retirement Plan Testing and Calculations

Project retirement savings, compare scenarios, test uncertainty, estimate withdrawal sustainability, and explore success probabilities using flexible assumptions, transparent formulas, charts, tables, and exports.

Retirement Results

Projected retirement balance
$0
Required retirement balance
$0
Funding gap or surplus
$0
Estimated monthly retirement income
$0
Monte Carlo success rate
0%
Median ending balance
$0
Total employee contributions
$0
Total employer contributions
$0
Investment growth before retirement
$0

Plan Inputs

Entered in today’s money.
Entered in today’s money.

Formula Used

The deterministic accumulation uses future-value logic with growing annual contributions. A simplified constant-payment form is shown below.

FV = PV(1 + r)n + PMT × [((1 + r)n − 1) / r]

The calculator separately models salary growth, employer matching, fees, inflation, one-time cash flows, and randomized annual returns.

How to Use This Calculator

  1. Enter ages, savings, salary, contribution, and employer match assumptions.
  2. Set expected returns, volatility, inflation, fees, and retirement income needs.
  3. Choose retirement length, withdrawal rate, and the number of simulations.
  4. Select Calculate & Test Plan to update all projections.
  5. Review deterministic, scenario, sensitivity, and Monte Carlo results together.
  6. Export your current results with the CSV or PDF buttons.

Year-by-Year Projection

AgeYearStarting balanceSalaryEmployeeEmployerReturnWithdrawalEnding balanceReal balance

Scenario Comparison

ScenarioReturnInflationContributionProjected balanceRequired balanceGap / surplus

Sensitivity Analysis

Pre-retirement returnProjected balanceFunding gap / surplus

Monte Carlo Statistics

5th percentile ending balance
$0
25th percentile ending balance
$0
50th percentile ending balance
$0
75th percentile ending balance
$0
95th percentile ending balance
$0
Probability savings last 30 years
0%
StatisticResult

Portfolio Growth Chart

Monte Carlo Ending-Balance Distribution

Understanding Retirement Plan Testing

Retirement planning is more useful when one forecast is tested against several possible futures. A basic projection estimates how current savings, future contributions, employer support, and investment growth may combine before retirement. Statistical testing adds uncertainty instead of assuming every year behaves exactly like the average. This calculator therefore shows deterministic projections beside scenario and Monte Carlo results. Those views answer different questions and should be interpreted together.

Why Assumptions Matter

Investment return, inflation, fees, salary growth, and retirement timing strongly influence long-term results. Small annual changes can compound over decades. Inflation also changes the purchasing power of future income, so a nominal balance can appear larger without supporting the same lifestyle. The calculator converts today’s desired retirement income into a future amount using the selected inflation rate. It then compares projected savings with a balance implied by the chosen withdrawal rate.

Using Statistical Tests

Monte Carlo simulation creates many possible return paths using an expected return and standard deviation. Each path accumulates savings, applies contributions, then tests retirement withdrawals. The reported success rate is the share of simulated paths that keep a positive balance through the selected retirement period. Percentiles show the range of ending balances. Lower percentiles represent weaker simulated outcomes, while upper percentiles represent stronger outcomes. These results are estimates, not guarantees.

Interpreting the Results

A funding surplus means the projected retirement balance exceeds the selected withdrawal-based target. A funding gap means the opposite under current assumptions. Scenario testing shows how alternative return, inflation, and contribution rates change that result. Sensitivity testing isolates return assumptions so their impact is easier to see. Users can also test a later retirement age, higher contributions, lower fees, or lower spending needs. Comparing multiple assumptions usually provides more information than relying on one forecast. Review inputs regularly as salary, savings, expenses, markets, and retirement goals change.

Example Data

InputExamplePurpose
Current savings$120,000Starting retirement assets
Employee contribution10%Annual personal saving rate
Expected return6.5%Deterministic growth assumption
Volatility10%Monte Carlo return variability
Inflation2.5%Future purchasing-power adjustment
Withdrawal rate4%Target retirement draw assumption

Frequently Asked Questions

What does the Monte Carlo success rate mean?

It is the percentage of simulated paths that keep a positive balance through the selected retirement period.

Is a higher success rate guaranteed to happen?

No. The result depends on assumptions and simulated return paths. It is a planning estimate, not a guarantee.

How is employer matching calculated?

The tool applies the selected match rate to employee contributions up to the chosen salary-based match limit, then adds any fixed employer amount.

Why does inflation increase the required balance?

Future dollars generally buy less when prices rise. The calculator inflates today’s desired retirement income before estimating the required balance.

Can I test one-time deposits or withdrawals?

Yes. Enter a one-time amount and the year from now when it should be applied before retirement.

What happens when the withdrawal rate changes?

A lower target withdrawal rate usually implies a larger required starting balance, while a higher rate implies a smaller target.

Does this include taxes?

No direct tax model is included. You can reflect taxes indirectly by increasing desired retirement spending or reducing expected net returns.

Planning note: This tool provides educational estimates. Retirement outcomes depend on taxes, investment choices, market conditions, plan rules, longevity, and future spending.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.