The Bellavia Technical Notes are a companion to the main Insights blog.
Purpose
These notes serve three goals:
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Document the mathematics. We describe the analytical structure underlying the questions explored by the Bellavia app, from withdrawal strategies to portfolio survival analysis.
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Provide context for technical users. Advisors, researchers, and technically minded readers may want to understand the assumptions and mechanics behind the calculations.
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Situate Bellavia within the literature. Retirement planning draws on decades of research in finance, economics, and statistics. These notes clarify how Bellavia's approach relates to established methods.
Topics
Future notes will cover:
- Worst-case optimization and its relationship to safe withdrawal rates
- Historical path analysis and sequence-of-returns risk
- Connections to structural finance and factor models
- Bootstrapping and Monte Carlo methodology
- Inflation modeling and real return calculations
A Note on Accessibility
Reading these notes is not required to use Bellavia. The calculator is designed to be useful without any background in quantitative finance.
The Technical Notes exist for those who want to look under the hood: to see the assumptions made explicit, understand the structural choices, and evaluate the analytical credibility of the approach.
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