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Portfolio theory

Monte Carlo Portfolio Simulator

Our portfolio backtest tool shows you one specific past. This tool shows you thousands of possible futures. Set an expected return and volatility, and it runs 3,000 random simulated market paths to show the full range of outcomes — not just the average one — so you can see how likely you are to actually hit your goal, or run out of money.

What are you simulating?

Higher volatility widens the range of outcomes, even at the same average return.

Leave at 0 to just see the range of outcomes without a pass/fail target.

Results across 3,000 simulated futures

Median outcome Middle 50% of outcomes Middle 80% of outcomes

Each simulated year draws a random return from a normal distribution centered on your expected return, with your volatility as the spread — a simplification of real markets (which have fatter tails and occasional stretches of correlated bad years) but the standard, widely-used approach for this kind of tool. Nothing here predicts what will actually happen; it shows you the range a plan like this has historically produced under similar assumptions.

Why "what's the average outcome" is the wrong question

If you only ever look at the average expected return, you're implicitly assuming the market delivers roughly that return every single year, in order. It never does. Two portfolios with the identical average annual return can produce wildly different results depending purely on when the good and bad years happen to land — a phenomenon called sequence-of-returns risk, and it's the single most important thing a Monte Carlo simulation shows you that a simple average never will.

Why this matters enormously more in retirement

While you're still adding money, a bad early year barely matters — you have decades to recover, and you're buying more units at lower prices the whole time. But once you switch to withdrawing money, a bad market in your first few retirement years can permanently damage the portfolio: you're forced to sell more shares at depressed prices to fund the same withdrawal, leaving fewer shares left to recover when the market eventually does. Two retirees with the exact same average lifetime return can have completely different outcomes purely because of which years were bad — this is exactly why the "probability money lasts the full period" number matters more than any single average-return calculation.

How to actually use this tool

The honest limitations

This tool assumes each year's return is independent and normally distributed, which real markets aren't quite — actual returns show fatter tails (more extreme years than a normal distribution predicts) and some clustering of good and bad years together. It also ignores fees, taxes, and inflation. Treat the probability number as a useful signal about robustness, not a precise, guaranteed odds calculation.