Savings Goal Calculator - Plan Your Goals
Calculate the monthly contribution needed to reach your savings goal. Plan your financial goals with compound interest online.
What is the purpose?
This calculator is used to calculate the monthly deposit necessary to reach a certain future value (savings goal) within a defined period, considering an available initial balance and an expected rate of return.
Formula Used
The mathematical formula to calculate the periodic contribution (PMT) necessary to achieve a future value target (FV), given an initial capital (PV), an interest rate per period (r) and the number of periods (n) is:
PMT = FV - PV × (1 + r)n(1 + r)n - 1r
Where the equivalent monthly interest rate (r_m) from the nominal annual rate () is:
r_m = (1 + R)\frac{1{12}} - 1
How to interpret the result?
The result shows:
- Required Monthly Input: The exact amount you must save monthly to reach the goal.
- Total Invested: The sum of deposits (initial + recurring contributions).
- Interest Earnings: The income generated by the applications that helped you reach your goal faster.
Practical Examples
- Basic Example (Without opening balance): Target of
10.000,00 em 12 meses, com taxa de 0,5% ao mês. O aporte mensal necessário é de810.66. Total amount invested:9.727,97. Ganho em juros:272.03. - Intermediate Example (With initial balance): Target of
50.000,00 em 5 anos (60 meses), com saldo inicial de5,000.00 and annual yield of 8% (0.6434% per month). The required monthly contribution is518,48. Investimento total:36,108.79. Interest earned: $13,891.21. - Advanced Example (Financial Independence): Target of
1.000.000,00 em 20 anos (240 meses), com saldo inicial de50,000.00 and annual yield of 10% (0.7974% per month). The required monthly contribution is938,97. Investimento total:275,353.53. Interest earned: $724,646.47.
Usage Tips
- Automate Savings: Schedule an automatic transfer to your investment account right after you receive your salary.
- Monitor the Interest Rate: Adjust contributions if the average market interest rate falls or rises.
- Protect your Reserve: Keep your savings goals separate from your daily spending cash.
Important Observations
Calculations assume fixed monthly contributions made at the beginning or end of each period and constant interest capitalization, without considering market fluctuations or tax rates on gains.