Portfolio Modeler

Monte Carlo portfolio simulator

Modeling Basics

Why Monte Carlo simulation is different from compound interest

Compound-interest calculators are useful, but they make investing look much smoother than it feels. A Monte Carlo portfolio simulator starts from the opposite assumption: the future is uncertain, and the order of returns can matter as much as the average return.

The compound-interest shortcut

A basic calculator usually asks for a starting value, annual contribution, number of years, and expected return. If the expected return is 8%, the calculator applies 8% every year. That produces a clean curve, but it removes the volatility that investors actually experience.

That shortcut can be fine for quick estimates. It is less useful when comparing portfolios with different risk levels, dividend policies, withdrawal plans, or tax assumptions. Two portfolios can have the same long-term average return and still create very different investor experiences along the way.

What Monte Carlo adds

Monte Carlo modeling creates many possible future paths instead of one path. Each path is a sample of possible monthly returns based on the return, volatility, and covariance assumptions for the selected tickers. After thousands of paths, the simulator can summarize a range of outcomes rather than a single answer.

This matters because planning is usually about ranges. A strong upside path may be interesting, but the more useful question is often whether the plan still works in a weak or average path. The model can show the 10th percentile, median, 90th percentile, max drawdown estimates, and goal probabilities.

Why sequence risk matters

Sequence risk is the risk that returns arrive in an unfavorable order. A retiree taking withdrawals from a portfolio can be hurt more by poor early returns than by poor late returns. A young investor making contributions can sometimes benefit from weaker early returns because new money buys assets at lower prices.

A fixed compound growth rate cannot show this. It applies the same result every year, so there is no meaningful difference between a bad first decade and a bad final decade. A stochastic path can show how timing changes outcomes, especially when contributions or withdrawals are included.

Why correlation and diversification matter

Portfolio Modeler also uses overlapping historical monthly returns to estimate how holdings have moved together. If two assets often decline at the same time, the portfolio can be riskier than their individual averages suggest. If assets sometimes move differently, diversification may reduce the depth or frequency of drawdowns.

This does not mean historical correlations will repeat. It simply means the simulation is trying to preserve a more realistic relationship between holdings than a model that treats every asset as independent.

What the simulator cannot know

No model knows future tax law, inflation, interest rates, earnings growth, fund policy, market valuations, or investor behavior. Monte Carlo results can make uncertainty visible, but they are still built from assumptions. The best use is comparison: adjust one input at a time and ask how the range of results changes.

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