Retirement Planning Insights

Expert analysis on historical simulation, withdrawal strategies, and financial independence planning

GK Guardrails Explained: How the 2006 Decision Rules Actually Work

GK Guardrails Explained: How the 2006 Decision Rules Actually Work

Compare Bellavia's two guardrail withdrawal strategies — parametric (user-set 3%/5% bands) and canonical Guyton-Klinger 2006 (four fixed rules) — across 91 historical cohorts. Includes a …

18 min
Flexible Retirement Date Windows: Mitigating Sequence And Cohort Risk

Flexible Retirement Date Windows: Mitigating Sequence And Cohort Risk

The retirement date itself drives roughly 75% of outcome variance across 97 historical cohorts, more than withdrawal rate, allocation, or guardrails combined. A two-year flexibility …

25 min
Historical 90% and Monte Carlo 90% Are Not the Same Number

Historical 90% and Monte Carlo 90% Are Not the Same Number

Historical 90% and Monte Carlo 90% Are Not the Same Number Even when both say 90% success and displayed the same way, they do not …

10 min
Monte Carlo vs Historical Simulation: Why They Disagree and Why That's Fine

Monte Carlo vs Historical Simulation: Why They Disagree and Why That's Fine

You ran a retirement simulation and got two results. The historical backtest says 98.9% success. The Monte Carlo says 90.5%. Which one is right? Both. …

7 min
Sequence of Returns Risk: Why Retirement Timing Can Make or Break Your $1M Portfolio

Sequence of Returns Risk: Why Retirement Timing Can Make or Break Your $1M Portfolio

Discover why two retirees with identical $1 million portfolios can have vastly different outcomes. Historical analysis of sequence-of-returns risk explained.

9 min
About The Technical Notes

About The Technical Notes

The theories behind bellavia.app

1 min
When to Retire: How Market Timing Affects Your Savings

When to Retire: How Market Timing Affects Your Savings

Same markets, opposite fortunes. Why 1969 made savers rich and retirees poor while 1949 did the reverse.

10 min
Retirement Savings Formula: Why Standard Calculators Are Wrong

Retirement Savings Formula: Why Standard Calculators Are Wrong

Every retirement calculator, every "how much should I save" article, every financial planning spreadsheet uses the same formula. It's elegant. It's simple. And it hides …

8 min
The 3% Savings Rule for UK Investors: Historical Analysis

The 3% Savings Rule for UK Investors: Historical Analysis

Does American advice work for UK savers? In this post I want to look at how the 3% saving strategy performs, historically, in the UK …

7 min
The 3% Rule for Savings

The 3% Rule for Savings

We use Bellavia Analytics to calculate how much we need to save on a yearly basis for 30 years in order to have a very …

5 min
Retirement Savings Calculator: Why When You Save Matters

Retirement Savings Calculator: Why When You Save Matters

When it comes to savings, when you start is just as important as how much you contribute.

9 min
4% Rule UK: Why British Retirees Need a Different Strategy

4% Rule UK: Why British Retirees Need a Different Strategy

Imagine it's January 1936 and you've just retired with £1,000,000, a fortune. Suppose you follow today's "sensible" advice: withdraw 4% annually from your balanced 60/40 …

8 min
Maximum Withdrawal Rate: 4%, 5%, or 6%? 150 Years of Evidence

Maximum Withdrawal Rate: 4%, 5%, or 6%? 150 Years of Evidence

The 1966 retiree could safely withdraw 3.9% annually (adjusting for inflation). The 1982 retiree could safely withdraw 11.8%, a full three times more spending power …

8 min
Sequence of Returns Risk Calculator: Early Years Matter Most

Sequence of Returns Risk Calculator: Early Years Matter Most

When planning for retirement, small differences in withdrawal rates can have dramatic impacts on portfolio longevity. This analysis explores what happens when you increase your …

12 min
1966: The Worst Year to Retire in 150 Years (And Three Other Crisis Cohorts)

1966: The Worst Year to Retire in 150 Years (And Three Other Crisis Cohorts)

1966 was worse than 1929. We tested how the same $1M portfolio performed starting in four of history's riskiest retirement years. Two failed completely. Two …

13 min
Bellavia: A Different Kind of Retirement Calculator

Bellavia: A Different Kind of Retirement Calculator

After years analyzing financial models, I searched for retirement planning tools. What I found was disappointing: oversimplified calculators or black boxes that said "trust us." …

2 min
How Long Will $1M Last? We Tested Every Year Since 1871

How Long Will $1M Last? We Tested Every Year Since 1871

Type "how long will $1 million last in retirement" into Google. You'll get a dozen articles all saying the same thing: "it depends" or "25-40 …

15 min
The 4% Rule Is Wrong: What the Creator Now Recommends

The 4% Rule Is Wrong: What the Creator Now Recommends

For 30 years, retirees have trusted the 4% rule to make their savings last. But William Bengen, the financial planner who invented it, later said …

12 min
How to Upload JST Macrohistory Data to Bellavia

How to Upload JST Macrohistory Data to Bellavia

A step-by-step guide to accessing and formatting the Jordà-Schularick-Taylor Macrohistory Database for use in Bellavia's retirement planning simulations. This comprehensive dataset spans 1870-2020 and includes …

6 min
Retirement Calculator: Inputs That Determine Success

Retirement Calculator: Inputs That Determine Success

Before you can stress-test your retirement plan against 100+ years of market history, you need to understand what you're actually testing. This guide breaks down …

11 min