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Monte Carlo Simulation

A Monte Carlo simulation is a planning technique that tests a financial plan against hundreds or thousands of randomized market scenarios to estimate the probability the plan succeeds.

Reviewed by Steven Fox, CFP®, EA Updated

Quick Summary

  • Instead of assuming one average return every year, a Monte Carlo simulation runs a plan through thousands of randomized market paths.
  • The output is a probability of success — the share of simulated paths in which the money lasted.
  • Its key insight is that the ORDER of returns matters, not just the average — the same returns in a different sequence can sink a retirement.
  • The probability is a stress test, not a promise; it is only as good as the assumptions fed into it.
  • Planners use it to compare choices — retiring a year later, spending slightly less — by how much each moves the success rate.

Definition

A Monte Carlo simulation is a mathematical modeling method that evaluates a financial plan by running it through a large number of randomized trials — commonly 1,000 or more — each drawing a different possible sequence of investment returns (and sometimes inflation and lifespan). Rather than projecting a single future based on average returns, it produces a distribution of outcomes and reports the percentage of trials in which the plan met its goal, most often whether retirement savings lasted for life. The name comes from the casino district of Monaco, a nod to the method's reliance on chance.

Advanced Explanation

The technique exists because straight-line projections hide a critical risk. A plan assuming a steady 6% every year can look identical to one that averages 6% with brutal early losses — but the retiree living through the second path may run out of money, because withdrawals taken during a downturn permanently remove shares that would have fueled the recovery. That is sequence-of-returns risk, and randomizing thousands of return orderings is precisely how Monte Carlo surfaces it.

Reading the output takes judgment. A 100% success rate is not the goal — reaching it usually means oversaving or underspending, paying real, certain lifestyle costs to eliminate hypothetical tail risks. Many planners regard results in the 70s–90s as a workable zone depending on the client's flexibility, because the model quietly assumes the retiree never adapts — never trims spending in a bad market, never earns another dollar — when real people adjust constantly. Limitations to keep in view: results swing with the assumed returns and volatility (garbage in, garbage out); many models draw from statistical distributions that understate extreme events; and a "failure" in the model often means falling slightly short at 95, not destitution at 80. The number is a conversation starter about trade-offs, not a verdict.

How to Remember

It's named for a casino for a reason: instead of betting your retirement on one predicted future, you make the model spin the wheel a thousand times and count how often you walk out ahead.

Used in a Sentence

“Their planner's Monte Carlo simulation put the early-retirement plan at a 71% success rate — but showed that working eighteen more months pushed it past 85%.”

How It Works

The planner encodes the plan — current savings, contributions, retirement date, spending, Social Security, asset allocation — and the software generates thousands of randomized return sequences, tallying the share of paths where the money lasts.

A hypothetical example: Ray and Elena, both 60, have $1,200,000 saved and want to spend $60,000 a year from the portfolio starting at 62. A simulation of 1,000 randomized paths finds the money lasts to age 95 in 790 of them — a 79% success rate. The model then makes trade-offs concrete: cutting planned spending to $54,000 lifts success to roughly 88%; delaying retirement to 64 (two more years of contributions, two fewer of withdrawals) pushes it past 90%; doing both approaches the high 90s. (All figures hypothetical, for illustration.) None of these numbers is a guarantee — but they let the couple compare options by impact instead of by gut feel.

Pros and Cons

Pros

  • Captures sequence-of-returns risk that single-average projections mathematically cannot show.
  • Turns vague worry ("will we be okay?") into a measurable dial that responds to specific decisions.
  • Makes trade-offs comparable — one more working year vs. $6,000 less annual spending — in a common currency of success probability.

Cons

  • Output quality is hostage to input assumptions; optimistic return assumptions manufacture false comfort.
  • Common implementations understate rare, extreme markets and assume the retiree never adapts behavior mid-plan.
  • A precise-looking "82%" invites false confidence — two software packages with different assumptions can score the same plan very differently.
  • Chasing 100% success typically means unnecessarily working longer or spending less for protection against already-remote scenarios.

People Also Asked

Answers to the most frequently asked questions.

What is a good Monte Carlo success rate for retirement?
There's no single right answer, and 100% is usually the wrong target — it prices in never adapting to anything. Many planners treat results roughly in the 70s to low 90s as workable, depending on how flexible the retiree's spending is and how much of their essentials are covered by guaranteed income like Social Security. A flexible spender can accept a lower score than someone with rigid fixed costs.
Is a Monte Carlo simulation a prediction of my future?
No. It's a stress test of one plan against thousands of hypothetical futures generated from assumptions about returns and volatility. An 85% success rate doesn't mean an 85% chance the future cooperates — it means the plan survived 85% of the scenarios this particular model imagined. Change the assumptions and the number changes, which is why the trend and the trade-offs matter more than the digits.
Why not just assume an average return every year?
Because retirees don't earn the average every year — they earn a sequence, and the order is decisive once withdrawals start. Averaging 6% with big losses in the first three years of retirement can empty a portfolio that would have thrived with the same returns in reverse order. Straight-line projections are blind to this; randomized trials are built to expose it.
Do I need a financial advisor to run a Monte Carlo simulation?
No — several consumer planning tools include one. What a good planner adds is judgment about the inputs (return assumptions, realistic spending, longevity) and interpretation of the output, since the same plan can score very differently under different assumptions. An advice-only planner can run and explain the analysis without managing your money, if that's the help you want.

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