Quitar dívida ou investir? A matemática, por taxa de juros
Você tem R$ 1.500 por mês sobrando e R$ 10.000 no rotativo do cartão a 14% ao mês (taxa média do Banco Central, ~370% ao ano efetivo). Quita o cartão antes ou começa a investir já no Tesouro Selic? Modelamos os dois caminhos por 5 anos e mostramos a diferença.
| Quitar primeiro o rotativo do cartão (14% ao mês) | Investir no Tesouro Selic (12% a.a.) pagando só o mínimo do cartão | |
|---|---|---|
| Saldo final | $99,450 | $36,983 |
| Aportes totais | $45,000 | $30,000 |
| Juros totais | +$54,450 | +$6,983 |
Tem dívida acima de ~15% ao ano? Quita primeiro. Não existe investimento legal no Brasil que pague consistentemente mais que o rotativo do cartão (14% ao mês), o cheque especial (~8% ao mês) ou o crédito pessoal sem garantia (5-10% ao mês). A taxa de equilíbrio é aproximadamente o seu retorno líquido esperado depois de IR — para a maioria, 8-10% ao ano. Acima disso, quitar dívida é matematicamente correto. Captura sempre o match do plano de previdência da empresa antes de qualquer outra coisa, se houver.
Qual é a melhor para você?
Pontos-chave
- Evitar 14% ao mês de rotativo é matematicamente igual a um retorno garantido de ~370% ao ano — não existe investimento legal que pague isso.
- Bolsa brasileira ou MSCI World rendem em média 8-12% ao ano com volatilidade; a taxa do seu cartão é fixa, alta e certa.
- Captura a contrapartida da previdência da empresa antes de tudo — é a única coisa que supera quitar dívida cara.
Perguntas frequentes
E a minha reserva de emergência?
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E se meu financiamento imobiliário é antigo, a 7-8% mais TR?
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Posso dividir os R$ 1.500 entre quitar dívida e investir?
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How to think about this comparison
Most personal-finance decisions are not about finding the single optimal answer. They are about choosing a path that you can stick with for ten, twenty, or thirty years through markets that rise and fall, jobs that change, family that grows, and goals that shift. The numbers in the calculator above show one mathematically optimal answer under a fixed set of assumptions. But the right answer for you also depends on how much volatility you can absorb without selling at a bad time, how much discipline you have for monthly automation, and how much you value flexibility versus certainty.
When the gap between two options is small — say less than five percent over the modeled time horizon — the math is essentially a tie. In a tie, behavior wins. Pick the path you will actually execute every month for the next decade, because a slightly suboptimal plan you complete beats a theoretically optimal plan you abandon. When the gap is large — twenty percent or more — the math becomes the dominant factor, and you should think hard about why you would intentionally choose the smaller number.
Most readers underestimate three things when running comparisons like this. First: inflation. A nominal forty-thousand-dollar gap in thirty years is worth roughly half that in today's purchasing power at three-percent inflation. Always check the real-value column. Second: taxes. Pre-tax dollars in a traditional account are not equivalent to post-tax dollars in a Roth or taxable account; the comparison should equalize by reducing pre-tax balances by your expected retirement tax rate. Third: sequence-of-returns risk. A bad year early in retirement damages a portfolio far more than the same bad year twenty-five years in. Calculators that assume constant returns hide this. Run a Monte Carlo with your real plan before committing.
For deeper context on the math behind these comparisons, see our pillar guide on compound interest and the original-research datasets at snowballr.io/data. To run multiple variations side-by-side, use the scenarios hub. For a single canonical reference of the numbers and primary sources we cite throughout the site, see Fast Facts.
Editorial standards, sources, and disclaimer
Every number on this page is generated client-side from the formulas published in our methodology documentation; no values are pre-computed, cached, or pulled from third-party APIs. The closed-form math matches the version used by the U.S. Securities and Exchange Commission's consumer-investor portal at Investor.gov, the Consumer Financial Protection Bureau's comparison tools, and major retirement-planning textbooks (Bogle, Bengen, Trinity, Vanguard internal research).
Historical return assumptions are drawn from NYU Stern's long-run dataset (Aswath Damodaran), Robert Shiller's S&P 500 dataset at Yale, and the Federal Reserve Economic Data (FRED) repository for interest rates and inflation. Mortgage rate references come from the Freddie Mac Primary Mortgage Market Survey (PMMS); consumer credit and household debt references from the New York Federal Reserve's Household Debt and Credit Report. Where this comparison cites tax brackets, contribution limits, or required minimum distribution rules, the figures match the most recent IRS publications and Notice updates at the time of the latest editorial review.
Snowballr is an independent, ad-supported publication. We do not sell financial products, accept affiliate commissions on banks, brokerages, or loan companies, or take payment for editorial placement. Our editorial standards describe how we source, fact-check, and update every calculator and comparison. The full master sources index at /sources lists every primary reference behind a quantitative claim on the site, organized by topic. For corrections, missing nuance, or fact-checking inquiries, reach us via the contact page.
This comparison is provided for educational purposes only. It does not constitute investment, tax, accounting, legal, or financial-planning advice and should not be the sole basis for any decision about your money. Outcomes depend on assumptions that will differ in real life — returns are not guaranteed, market downturns extend recovery timelines, fees and taxes reduce realized growth, and inflation erodes the real purchasing power of nominal balances. Before acting on any output here, consult a fiduciary financial advisor and a licensed tax professional, as appropriate to your situation. Past performance does not guarantee future results.