QuantCFA
Quantitative Research

The mathematics of Roth Conversion Components.

Roth conversion advice usually turns on a guess about future tax rates, but conversion value has multiple components, each requiring a robust multi-year tax model whose outputs cannot simply be assumed. Our research goal is to improve the decision process and show whether each conversion is profitable in understandable present-value terms.

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New to this? The Practitioner Guide walks through the conversion decision from first principles, in plain prose.

Quantifying Tax-Drag Shelter Benefits in Roth Conversions

Quantifies the two Tax-Drag Shelter alphas in a Roth conversion: RMD-reduction (from the Convert decision) and SRC (from the Outside-settlement decision).

Working paper · Forthcoming, Journal of Financial Planning (expected June 2027) · Posted on SSRN September 22, 2026

The Synthetic Roth Contribution

When you pay Roth conversion tax from outside the retirement account, you've quietly made a Roth contribution equal to the tax — bypassing the IRS contribution limit. This paper isolates that component and values it.

Working paper · Revised October 24, 2026 · Posted on SSRN May 20, 2026

Roth Conversion Valuation & Mechanics

The paper that introduced the Synthetic Roth Contribution concept and decomposed conversion-tax payback into its components. The framework has been substantially extended in the two working drafts above.

Foundational paper · April 2025 · Published on SSRN June 2025
Research applied at

These and other frameworks are available at RothGPT.com. Enter your own numbers and see Rate-Arbitrage alpha, Tax-Drag Shelter alpha, and Medicare IRMAA alpha combine into a recommended bracket-filling conversion that maximizes your post-conversion wealth.

The model is also available inside Claude.ai as a certified connector, so Claude can explain the model’s output in depth.