retirement · 7 min read
Monte Carlo vs. Straight-Line: Why Your Retirement Number Is a Range
3.2×
Outcome spread at age 85
P90 vs P10 portfolio value for identical 7% average return assumptions
Most retirement calculators give you one number. Monte Carlo simulation gives you a distribution. Here is why the range matters more than the average — and how to read a probability fan chart.
The Problem with a Single Number
Almost every retirement calculator you have ever used works the same way. You enter your current savings, your expected return (say, 7%), your savings rate, and your retirement age. The calculator multiplies and compounds and produces a number: "You will have $1,847,000 at age 65."
This is a straight-line projection. It assumes that every year, your portfolio grows by exactly 7%. No bad years. No good years. Just a smooth, consistent 7% forever.
The problem is that markets do not work this way. In reality, your portfolio might return 22% one year, -18% the next, 14% the year after, and -6% the year after that. The average of those four years might be close to 7%, but the path matters enormously — especially in the years just before and just after retirement, when your portfolio is at its largest and most vulnerable to sequence-of-returns risk.
A straight-line projection tells you the median outcome if everything goes according to plan. It tells you nothing about the range of outcomes you might actually experience.
3.2×
P90 vs P10 spread at age 85
For identical 7% average return assumptions
500+
Simulations run in Worthune
Per FIRE scenario calculation
Did You Know
Two portfolios with identical 7% average returns can produce outcomes that differ by more than 3× at age 85 — purely because of the order in which good and bad years arrived.
What Monte Carlo Actually Does
Monte Carlo simulation is a method for modeling uncertainty by running thousands of randomized scenarios and observing the distribution of outcomes.
In the context of retirement planning, a Monte Carlo model generates thousands of hypothetical return sequences — each one a plausible path that markets could take based on historical volatility and return distributions. Some sequences are lucky: strong returns early, modest returns late. Some are unlucky: poor returns in the first decade of retirement, when the portfolio is largest and withdrawals are beginning. Most fall somewhere in between.
For each simulated path, the model asks: did this portfolio survive? Did it last 30 years (or 40, or 50) without running out of money?
The result is not a single number but a probability distribution. A well-built Monte Carlo model might tell you: "Under these assumptions, your portfolio survives in 87% of simulations." Or, presented visually, it shows a fan chart — a cone of possible futures — where the width of the cone represents the uncertainty in your outcome.
How Monte Carlo Works
Run N simulations → Each uses randomised annual returns → Count how many portfolios surviveEach simulation draws annual returns from a distribution matching historical mean and volatility. The result is a probability of success, not a single projected number.
How to Read a Probability Fan Chart
The fan chart — also called a cone of uncertainty — is the standard visualization for Monte Carlo retirement projections. Here is how to interpret it.
The center line (P50) is the median outcome: half of all simulated scenarios ended above this line, half below. This is roughly equivalent to what a straight-line projection shows, assuming the straight-line return matches the median simulated return.
The upper band (P90) shows the 90th percentile outcome — the result in the top 10% of scenarios. This is not the best possible outcome; it is a realistic optimistic outcome. If markets cooperate and you get favorable return sequencing, you might end up here.
The lower band (P10) shows the 10th percentile outcome — the result in the bottom 10% of scenarios. This is not a catastrophic outlier; it is a realistic pessimistic outcome. Poor early returns, a bad decade, inflation running higher than expected — this is where you land.
The width of the fan tells you something important: how sensitive your outcome is to luck. A narrow fan means your plan is relatively robust to market variation. A wide fan means your outcome depends heavily on the sequence of returns you happen to experience — and that you should consider building more resilience into your plan.
| Band | Percentile | Meaning | What It Tells You |
|---|---|---|---|
| P90 | 90th | Optimistic outcome | Top 10% of scenarios — favorable return sequencing |
| P50 | 50th | Median outcome | Half of scenarios above, half below — your "expected" result |
| P10 | 10th | Pessimistic outcome | Bottom 10% — poor early returns, realistic downside |
Plan for the P10, not the P50
A plan that looks fine at the median but fails at P10 is a fragile plan. Build your retirement strategy to survive the pessimistic band — then anything better is a bonus.
What This Means for Your Planning
The practical implication of Monte Carlo thinking is that retirement planning should be about building resilience, not optimizing for the median.
A plan that succeeds in 95% of simulations is meaningfully different from a plan that succeeds in 72% of simulations — even if both have the same median outcome. The difference is the margin of safety.
How do you improve your probability of success? The most powerful levers are: a lower withdrawal rate (even dropping from 4% to 3.5% dramatically improves outcomes), a flexible spending strategy (willingness to cut spending in bad years), a larger equity allocation (higher expected returns, with higher volatility), and some capacity for supplemental income in early retirement.
Worthune's FIRE scenario runs a 500-simulation Monte Carlo model and shows you the P10, P50, and P90 bands for your specific inputs. The goal is not to make you anxious about uncertainty — it is to make you honest about it, so you can build a plan that holds up under realistic conditions rather than ideal ones.
Frequently Asked Questions
What is Monte Carlo simulation in financial planning?
Monte Carlo simulation runs thousands of randomized market scenarios to show a distribution of possible retirement outcomes. Instead of a single projected number, it shows you the range of likely outcomes — from pessimistic to optimistic — based on historical market volatility.
Why is a straight-line retirement projection misleading?
Straight-line projections assume a constant annual return (e.g., 7% every year), which never happens in reality. Markets fluctuate, and the sequence of those fluctuations — especially in the years around retirement — can dramatically affect outcomes even when the long-run average return is the same.
What does 'probability of success' mean in retirement planning?
Probability of success refers to the percentage of Monte Carlo simulations in which your portfolio does not run out of money before the end of your planning horizon. A 90% success rate means your plan survived in 9 out of 10 simulated scenarios.
What is a good Monte Carlo success rate for retirement?
Most financial planners target 85–95% probability of success. A rate below 80% suggests the plan needs adjustment. Above 95% may indicate you are being overly conservative and could retire earlier or spend more.
Try It Yourself
Use these interactive calculators to model the concepts from this article with your own numbers.
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