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
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
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% 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
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
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
Historical Backtesting vs Monte Carlo in Retirement Planning

Historical Backtesting vs Monte Carlo in Retirement Planning

Historical data gives us the only empirical laboratory we have. It tells us how portfolios behaved through war, depression, inflation, stagnation, and exuberance. Without these …

5 min
The Ultimate Guide to Historical Market Data for Financial Planning

The Ultimate Guide to Historical Market Data for Financial Planning

Looking to analyze your retirement portfolio with real historical data? While Bellavia.app includes US and UK market data from 1900-2020, you can do even better. …

4 min