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Monte Carlo FIRE Simulator Calculator

Run statistical return scenarios to estimate safe withdrawal success probability with our free Monte Carlo FIRE simulator calculator.

Inputs
Results

Success Rate

90.6%

95% Safe Withdrawal

$34,832.38

Outcome Percentiles

Percentile5th25th50th75th95th
Portfolio$0$694,105.29$2,140,183.53$4,667,279.91$11,818,363.35
Median Trajectory
YearPortfolio
0$1,000,000
1$1,116,638.42
2$1,089,592.18
3$1,118,443.57
4$1,143,620.24
5$1,288,671.67
6$1,028,951.92
7$835,890.29
8$982,146.62
9$851,094.03
10$985,951.58
11$996,507.55
12$1,021,231.62
13$964,333.04
14$1,099,120.19
15$1,120,994.46
16$1,154,183.97
17$1,000,299.53
18$1,173,908.53
19$1,296,712.53
20$1,394,581.07
21$1,144,271.14
22$1,478,987.71
23$1,530,045.03
24$1,833,942.61
25$1,584,308.7
26$1,824,426.94
27$1,760,498.41
28$2,340,511.38
29$2,595,209.64
30$2,140,279.42

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$5
$1$50

How It Works

Enter portfolio value, annual spending, expected return, volatility, and retirement years. Tool runs one thousand return path simulations using Box Muller normal random draws from your assumptions. FIRE planners often test one million dollar portfolio with forty thousand annual spending over thirty years. One thousand simulations default balances runtime and stability of success rate estimate. Sub ninety percent success warrants lower spending or higher capital. Sequence of returns risk in first five retirement years appears in left tail of simulation distribution even when median path succeeds comfortably. Review fifth percentile terminal portfolio value not only success rate percentage when judging whether plan survives left tail bad luck return paths in retirement. Fifth percentile terminal wealth outcome matters for conservative planners not only headline success rate percentage from simulation count. FIRE planners often test a $1M portfolio with $40,000 annual spending, 7% expected return, and 15% volatility over 30 years. The success rate shows how often random return paths survive without depletion.

Review success rate, ninety five percent safe withdrawal, percentile outcomes, and median trajectory chart. Sequence risk concentrates in first five retirement years: review fifth percentile outcome for worst plausible paths. Fifth percentile outcome shows stress path for conservative planners. Median path is not guaranteed personal outcome. Increasing simulation count to ten thousand reduces noise in success rate estimate marginally versus one thousand default for speed. Lower annual spending input by ten percent and rerun simulations to see nonlinear improvement in success rate when sequence risk dominates early retirement years. Fifth percentile outcome shows stress path for conservative planners reviewing left tail retirement scenarios not only median success. Ten percent spending reduction rerun often improves success rate nonlinearly when early retirement sequence risk dominates simulation outcomes. Review both success rate percentage and fifth percentile terminal wealth when judging plan resilience against left tail bad luck return paths. Success probability threshold ninety percent common planning standard implies one in ten failure rate acceptable for retiree comfortable reducing discretionary spend during poor paths. Fat tailed return distribution assumption versus normal increases failure rate at same average return because severe drawdowns occur more frequently in empirical equity data. Social security claiming age delay increases guaranteed income floor reducing required portfolio withdrawal rate in Monte Carlo input improving success without higher nest egg target. Guardrail spending rule reduces withdrawal after poor portfolio year and allows increase after strong year keeping real spending smoother than fixed nominal withdrawal that ignores portfolio balance feedback loop in retirement decumulation policy statement for client financial plan deliverable package. Sequence of returns risk matters most in the first five retirement years. A bear market early in withdrawal can permanently impair sustainability even if long run average returns look fine.

In left tail simulation paths, success probability threshold of ninety percent is a common planning standard and implies one in ten failure rate acceptable for retiree comfortable reducing discretionary spend during poor paths. Fat tailed return distribution assumption versus normal increases failure rate at same average return because severe drawdowns occur more frequently in empirical equity data. Social security claiming age delay increases guaranteed income floor reducing required portfolio withdrawal rate in Monte Carlo input improving success without higher nest egg target. Guardrail spending rule reduces withdrawal after poor portfolio year and allows increase after strong year keeping real spending smoother than fixed nominal withdrawal that ignores portfolio balance feedback loop in retirement decumulation policy statement for client financial plan deliverable package. Sequence of returns risk matters most in the first five retirement years. A bear market early in withdrawal can permanently impair sustainability even if long run average returns look fine.

Use Monte Carlo FIRE Simulator whenever inputs change: after market moves, new contributions, or revised personal assumptions. Bookmark the page for quick reruns without installing software.

Step by step

  1. Enter portfolio, spending, return, volatility, and years
  2. Review success rate and percentile outcome table
  3. Adjust spending or volatility to stress test plan resilience

Worked example

Example scenario for Monte Carlo FIRE Simulator: $1, $40,000, 7%. Enter those values above to reproduce the walkthrough described in How it works.

Adjust one input at a time to see sensitivity. Monte Carlo FIRE Simulator updates instantly so you can stress test optimistic and conservative assumptions before acting.

When to use this calculator

Reach for Monte Carlo FIRE Simulator when run statistical return scenarios to estimate safe withdrawal success probability.. It suits quick what if analysis before trades, allocation changes, or plan updates.

Pair with related tools when the decision spans taxes, liquidity, or multi year projections beyond what one formula captures.

Common mistakes

Copying outputs without checking input units or stale market prices is a frequent error with Monte Carlo FIRE Simulator. Confirm tickers, percentages, and dates before acting.

Running a single baseline scenario ignores tail risks. Stress test with conservative inputs and compare against related tools listed below when the decision is material.

The Formula

P_t = (P_t-1 - S) × (1 + r_t) where r_t = μ + σ × Z, Z ~ N(0,1) via Box-Muller transform. 1,000 seeded simulations. Safe withdrawal found by binary search (20 iterations) targeting ≥95% success.

Normal return draws with seeded RNG for reproducibility. Binary search finds ninety five percent safe withdrawal. Seeded RNG reproducible. Log normal alternative not shown. Seeded reproducible RNG. Log normal alternative may fit equity better than normal draws. Rerun simulations after major life or market assumption changes at least annually in written financial plan review. Educational estimates only not personalized advice consult qualified professional before major financial decisions. Educational estimates only not personalized advice consult qualified professional before major financial decisions. Educational estimates only not personalized advice consult qualified professional before major financial decisions. Log normal returns may fit equity data better than normal. This model uses normal draws for transparency and speed.

Limitations and assumptions

Normal return draws with seeded RNG for reproducibility. Binary search finds ninety five percent safe withdrawal. Seeded RNG reproducible. Log normal alternative not shown. Seeded reproducible RNG. Log normal alternative may fit equity better than normal draws. Rerun simulations after major life or market assumption changes at least annually in written financial plan review. Educational estimates only not personalized advice consult qualified professional before major financial decisions. Educational estimates only not personalized advice consult qualified professional before major financial decisions. Educational estimates only not personalized advice consult qualified professional before major financial decisions. Log normal returns may fit equity data better than normal. This model uses normal draws for transparency and speed. Monte Carlo FIRE Simulator does not replace personalized advice. Fees, slippage, account specific rules, and behavioral constraints may change real world outcomes.

Key terms

How does Monte Carlo simulate returns
Each year return draws from normal distribution with your mean and volatility.
What is the 95% safe withdrawal
Ninety five percent safe withdrawal is maximum spending achieving at least ninety five percent survival via binary search.
Model assumption
Results depend heavily on return and volatility inputs.

Compare alternatives

Compare variable spending with Dynamic SWR Calculator and historical paths with Sequence of Returns on portfolios. Use those calculators when monte carlo fire simulator alone does not capture the full decision.

Internal links on portfolios.tools help you chain calculators: run Monte Carlo FIRE Simulator first, then validate edge cases with a specialized tool from the related section below.

FAQ

How does Monte Carlo simulate returns?

Each year return draws from normal distribution with your mean and volatility. One thousand seeded simulations count survival without zero balance. Fat tails not modeled: sub ninety percent success warrants caution. Normal distribution understates tail risk versus historical fat tails. Normal return assumption understates crash frequency versus historical fat tailed equity returns. One thousand simulations default balances accuracy of success rate estimate against browser computation time for interactive use. Number of simulations ten thousand standard balances accuracy of success probability estimate against analytical solutions available only for simplified return assumptions not capturing fat tails skewness kurtosis observed in long horizon equity return empirical distribution data sets used in research papers. Fat tails and mean reversion are not modeled. Real crashes exceed normal distribution tails, so treat sub 90% success rates as cautionary.

What is the 95% safe withdrawal?

Ninety five percent safe withdrawal is maximum spending achieving at least ninety five percent survival via binary search. Three point five percent on one million equals thirty five thousand per year at ninety five percent path survival. Ninety five percent safe withdrawal found by binary search on spending level. Ninety five percent safe withdrawal binary search finds spending level with nine hundred fifty surviving paths of one thousand. The 95% safe withdrawal is the spending level that survives at least 950 of 1,000 simulated paths. It is more conservative than the median sustainable rate.

How reliable are the results?

Results depend heavily on return and volatility inputs. Raise volatility five points to simulate higher equity allocation stress. Volatility input should match equity allocation assumption. Volatility input should match equity fixed income mix assumed in expected return input. Raise volatility by 5 points to simulate a higher equity allocation. Lower expected return by 2 points to stress test pessimistic capital market assumptions.

What does the median trajectory show?

Median trajectory tracks middle simulation path by final value ranking. Useful central reference among one thousand random futures. Median trajectory useful central reference among simulations. Median trajectory not guaranteed personal outcome but useful central tendency reference. Median simulation path represents middle outcome among one thousand runs not most likely personal retirement experience guaranteed. The median path is not your most likely personal outcome but a useful central reference among 1,000 random futures.

How do I stress test my plan?

Compare with Dynamic SWR for variable spending rules. Sequence of Returns for specific bad historical paths. Dynamic SWR adjusts spending after down years reducing sequence risk. Dynamic spending rules improve outcomes versus fixed nominal withdrawal in many studies. Dynamic SWR Calculator models variable spending guardrails reducing sequence risk versus fixed withdrawal assumed in base Monte Carlo run. Test spending cuts during down years by comparing results with the Dynamic SWR Calculator using Guyton Klinger guardrails.

How do I use this Monte Carlo FIRE simulator on phone or tablet?

Yes. Monte Carlo FIRE Simulator runs entirely in your mobile browser with the same formulas as desktop. Optional localStorage may remember inputs on your device when enabled in browser settings.

Where is my data stored when I use Monte Carlo FIRE Simulator?

Nowhere on our servers. Calculations execute locally in your browser. Optional localStorage saves form fields on your device only and never transmits portfolio numbers over the network.

Should I rely on Monte Carlo FIRE Simulator for tax or legal decisions?

No. Monte Carlo FIRE Simulator provides educational math only. Tax law, account rules, and personal circumstances vary. Consult a qualified tax or legal professional before transactions with material consequences.

Related Tools

Compare variable spending with Dynamic SWR Calculator and historical paths with Sequence of Returns on portfolios.tools when interpreting Monte Carlo FIRE success rates. Extend with Dynamic SWR, Sequence of Returns, Coast FIRE, and Lean vs Fat FIRE on portfolios.tools. Extend planning with Dynamic SWR, Sequence of Returns, Coast FIRE, Lean vs Fat FIRE on portfolios.tools. Compare variable spending rules with Dynamic SWR Calculator. Estimate years to FIRE with Time to FIRE Calculator. Model lean vs fat FIRE budgets with Lean vs Fat FIRE Calculator.