Time to Goal Calculator
Compute in how many months a monthly contribution + initial balance reaches a financial goal. With monthly interest rate.
How long until you reach your goal?
The future value equation is M = PV·(1+i)^t + PMT·((1+i)^t − 1)/i, where M is the target, PV the present balance, PMT the monthly deposit and i the periodic rate. With deposits only: t = ln(1 + M·i/PMT) / ln(1+i). With balance only: t = ln(M/PV) / ln(1+i). Example: goal R$ 100,000, R$ 1,000/month at 1% per month → t ≈ 64 months (5.3 years).
Applications
Personal financial planning, emergency reserve, down payment for a home, exchange programs, FIRE (Financial Independence, Retire Early), starting a business, paying for children's health plan or college. Useful to set realistic monthly deposits and compare scenarios with different rates.
FAQ
Should I use real or nominal rates? For long-horizon goals (5+ years), use the real rate (discounted by inflation) so the result is meaningful in today's purchasing power.
What if the rate changes over time? The closed formula assumes a constant rate. Recalculate periodically as the actual yield drifts.
Does the deposit have to be monthly? No — make sure the rate i matches the deposit frequency (monthly rate for monthly deposits, annual for annual).
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The results provided by this tool are for general informational and educational purposes only and do not constitute professional, financial, medical, legal, tax or accounting advice. Always confirm important decisions with a qualified professional and official sources.