First Million Calculator

How is the calculation done?

Under the hood it runs compound interest with monthly contributions. Every month the balance gets multiplied by (1 + rate), and then the contribution is added on top. The loop keeps going until the balance hits R$1,000,000.

A monthly rate of 0.8% works out to roughly 10% a year. Stocks, funds and inflation-linked Treasury notes have historically returned somewhere around that.

This is an estimate, and inflation is left out of the math.

The First Million: How Compound Interest Builds Long-Term Wealth

Reaching the first million is less about luck or salary and more about three variables you can actually control: how much you start with, how much you contribute every month, and the average annual return of your portfolio. The mathematical engine that turns small monthly contributions into a seven-figure balance is compound interest — the same mechanism Einstein allegedly called the eighth wonder of the world. This calculator and the content below explain the underlying formula, show realistic scenarios for Brazilian and international investors, and discuss where money is typically allocated in 2026.

The Math of Compound Interest

The future value of an investment that combines an initial deposit with regular monthly contributions follows the formula FV = PV × (1 + i)ⁿ + PMT × [((1 + i)ⁿ − 1) / i], where FV is the future value (your target, for example R$ 1,000,000), PV is the initial deposit, PMT is the monthly contribution, i is the monthly interest rate in decimal form, and n is the number of months. To find how long it takes to reach a target, the equation is solved for n, which is exactly what this calculator does numerically.

Two details matter. First, the monthly rate is not the annual rate divided by 12 — it is (1 + annual)^1/12 − 1. Second, contributions are assumed to occur at the end of each month (ordinary annuity), which is the convention used by most Brazilian brokers and by tools like the official compound interest calculator from the U.S. SEC at Investor.gov.

Practical Scenarios

The table below illustrates how the monthly contribution needed to reach R$ 1,000,000 changes with time horizon and return, assuming a R$ 0 starting balance:

• 10 years at 10% per year: roughly R$ 4,880 per month.
• 10 years at 12% per year: roughly R$ 4,350 per month.
• 20 years at 10% per year: roughly R$ 1,316 per month.
• 20 years at 12% per year: roughly R$ 1,010 per month.
• 30 years at 10% per year: roughly R$ 481 per month.
• 30 years at 12% per year: roughly R$ 322 per month.
• 30 years at 15% per year: roughly R$ 144 per month.

A common example from Brazilian financial educators uses R$ 10,000 as the initial deposit, R$ 1,000 per month, and 8% per year — the result is approximately 25 years and 4 months to reach R$ 1 million, with only R$ 314,000 of your own money contributed and the rest (around R$ 693,000) coming from compounding.

Where to Invest in 2026: A Brazilian Snapshot

According to BACEN and Tesouro Direto, the Selic policy rate in early 2026 was at 14.50% per year, providing very high nominal returns in fixed income. Typical options include:

• Tesouro Selic (LFT): government bonds tracking the Selic rate, gross yield around 14.5%–14.8% per year in early 2026, daily liquidity, ideal for emergency reserves.
• CDBs indexed to CDI: bank deposits paying 90%–108% of the CDI; FGC insurance up to R$ 250,000 per institution.
• LCI / LCA: real-estate and agribusiness letters, exempt from income tax for individuals, typically pay 85%–95% of CDI but with lock-up periods.
• Tesouro IPCA+: bonds paying inflation plus a real rate; in 2026 real rates have been historically high, often above 7% per year, protecting purchasing power.
• Stocks and FIIs: equities and real-estate funds offer higher long-term expected returns (Ibovespa historical real return is around 6%–8% per year above inflation) but with significant volatility.

A diversified portfolio that mixes Tesouro Selic for short-term needs, IPCA+ for retirement, and a slice of equities and FIIs is the most common structure recommended by educators such as Me Poupe, Suno and Nubank.

The Power of Starting Early

Time is the single most powerful lever in compound growth. An investor who starts at age 20 contributing R$ 500 per month at 10% per year and stops at age 30 (only ten years of contributions, R$ 60,000 of own money) ends up with more at age 60 than an investor who starts at age 30 and contributes the same R$ 500 every month for 30 years (R$ 180,000 of own money). The reason is that the first ten years generate a base capital that then compounds for three additional decades — a phenomenon FIRE (Financial Independence, Retire Early) advocates call Coast FIRE.

Inflation: The Hidden Tax on Your Million

A million reais in 30 years will not buy what it buys today. With an average IPCA inflation of 4% per year, R$ 1,000,000 in 2056 will have the purchasing power of roughly R$ 308,000 in 2026 money. To preserve real wealth, target the real rate (return above inflation), not the nominal one. Tesouro IPCA+ is explicitly designed for this purpose.

Common Mistakes

• Leaving money in the savings account (caderneta de poupança), which yields 70% of Selic when Selic is above 8.5% — well below CDBs and Tesouro Selic.
• Skipping contributions: the calculator assumes constant PMT; missing one month a year reduces the final balance by more than 10%.
• Panic-selling during drawdowns: equity portfolios historically recover within 2–5 years, but realising losses locks them in permanently.
• Ignoring taxes and fees: brokerage costs, income tax (IR regressivo on most fixed income), and IOF on early withdrawals can erode 1%–2% of annual return.
• Chasing very high promised yields: returns above 150% of CDI usually involve credit risk that retail investors rarely understand.

FAQ

Is 10% per year a realistic return? In Brazil, with Selic at 14.5%, fixed income alone delivers more than that gross. After taxes, a balanced portfolio targeting 10% nominal is realistic. In USD markets, the S&P 500 historical average is around 10% nominal, 7% real.

Should I include the initial deposit in the calculator? Yes — any existing savings shorten the path significantly thanks to the PV × (1+i)ⁿ term.

Does inflation already get discounted? No. This tool computes nominal future value. To work in real terms, enter your real expected return (e.g., 6% instead of 10%).

What is the 4% rule? A FIRE rule of thumb stating that withdrawing 4% per year from a diversified portfolio has historically lasted 30+ years. R$ 1 million at 4% generates R$ 40,000 per year, or about R$ 3,333 per month.

Disclaimer: this calculator is educational. It does not constitute investment recommendation. Consult a CVM-registered financial advisor and consult official sources such as Tesouro Direto and Banco Central do Brasil for current rates.