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Deep dives into Monte Carlo simulations, retirement risk, and the math behind your plan.

19 articles
Spending StrategiesRetirement PlanningLatest

How to Choose a Retirement Spending Strategy: A Decision Framework

Most retirees drift into the wrong spending strategy by default. A four-input decision framework picks the right one and rules out the costly mismatches.

Apr 29, 2026·10 min read
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Success RateMonte Carlo

Reading a Monte Carlo Success Rate: Why 90% Is Not What You Think

The success rate is a useful summary, not the answer. A complete reading uses the failure distribution, worst-case income, and assumption sensitivity together.

Apr 27, 2026·9 min read
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Percentage of PortfolioSpending Strategies

The Endowment Approach to Retirement: Percentage-of-Portfolio Withdrawals

University endowments solved sustainable spending decades ago: take a percentage of the portfolio, smooth it. Same approach works for retirees with the right income structure.

Apr 25, 2026·9 min read
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Expected ReturnAssumptions

What Expected Return Should You Use in a Monte Carlo Retirement Plan?

The expected return is the single most consequential input in a Monte Carlo retirement plan. Most defaults are too optimistic. Here is how to choose better.

Apr 22, 2026·10 min read
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Floor and CeilingSpending Strategies

Floor and Ceiling Withdrawals: When Income Bounds Hold and When They Break

A floor protects your income; a ceiling protects your portfolio. The trade-off is real, and it shows up in the worst 10-15% of paths. Here is when the strategy fits.

Apr 19, 2026·9 min read
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Social SecurityIncome Streams

How to Model Social Security in a Monte Carlo Retirement Plan

Social Security is the most stable income stream in most retirement plans, but most simulators model it wrong. Here is how to fix it.

Apr 15, 2026·9 min read
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Guyton-KlingerSpending Strategies

How Guyton-Klinger Guardrails Lift the Safe Withdrawal Rate to 5%

Static rules ignore markets. Dynamic guardrails respond to them. See why a 5% Guyton-Klinger plan can beat a static 4% rule across 50,000 simulations.

Apr 11, 2026·9 min read
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European RetirementWithdrawal Rate

European Retirement Planning: Why the 4% Rule Is American

Bengen's 4% rule was derived from US history. International research shows safe withdrawal rates are materially lower in most European countries.

Apr 5, 2026·10 min read
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Black SwanRisk Modeling

Black Swan Events: The Crash Your Retirement Plan Is Hiding

Your Monte Carlo success rate assumes 2008 was a once-in-14,000-years event. It was not. Black swan modeling reveals the risk your plan is hiding.

Apr 4, 2026·10 min read
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CorrelationDiversification

Why Your Retirement Simulator Is Wrong About Diversification

Your simulator generates random returns for stocks and bonds independently. In 2008, stocks dropped 37% while bonds rallied 5%. An independent model misses the cushion entirely.

Mar 30, 2026·9 min read
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Monte CarloRetirement Planning

What Is a Monte Carlo Retirement Calculator?

How Monte Carlo retirement calculators work, why they beat fixed-return projections, and what separates a good one from a basic spreadsheet.

Mar 26, 2026·8 min read
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Variance DrainVolatility

Variance Drain: The Silent Killer of Retirement Portfolios

Gain 20%, lose 20%, and you are down 4%. Variance drain silently erodes compound growth by 1-2% per year, and it gets worse under fat tails.

Mar 4, 2026·8 min read
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Monte CarloBacktesting

Monte Carlo vs Historical Backtesting: Which One Should You Trust?

Historical backtesting tests your plan against the past. Monte Carlo tests it against everything that could happen. You need both.

Feb 27, 2026·8 min read
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ReturnsVariance Drain

Why Average Returns Lie: Geometric vs Arithmetic

Your advisor says 8% average return. Your account grew at 6.7%. The gap is variance drain, and over 30 years it can cost you millions.

Feb 22, 2026·7 min read
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4% RuleWithdrawal Rate

The 4% Rule Is Not a Rule

The 4% rule is not a law of physics. It is a historical observation about one country during one era, applied to a strategy most people should not use.

Feb 18, 2026·8 min read
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Spending StrategiesRetirement Planning

Four Retirement Spending Strategies, Ranked by Survival Rate

Same portfolio, same returns, different spending rule: your success rate changes by 15-20 percentage points. Four strategies ranked by how well they survive.

Feb 13, 2026·9 min read
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Monte CarloStatistics

How Many Iterations Does a Monte Carlo Simulation Need?

Run the same simulation twice, get a different answer. If your Monte Carlo success rate bounces around, you do not have enough iterations.

Feb 9, 2026·7 min read
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Fat TailsRisk Modeling

Fat Tails and Retirement: When the Bell Curve Lies

The bell curve says 2008 should happen once every 14,000 years. Fat-tailed distributions say once a generation. Your retirement plan should know the difference.

Feb 5, 2026·8 min read
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Sequence RiskRetirement Planning

Why the Order of Your Returns Matters More Than the Average

Two retirees, same average return, opposite outcomes. Sequence-of-returns risk is the single biggest threat most retirement calculators ignore.

Feb 1, 2026·7 min read
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