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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