Savings Account Calculator with Monthly Deposits

This savings account calculator helps you determine how much you'll have in your account after a certain period with regular monthly deposits. It accounts for compound interest, which means your money grows faster over time.

How to Use This Calculator

To use this savings account calculator with monthly deposits:

Enter your initial deposit amount in the "Initial Deposit" field.
Enter the amount you plan to deposit each month in the "Monthly Deposit" field.
Enter the annual interest rate in the "Annual Interest Rate" field.
Select the compounding frequency from the dropdown (usually monthly).
Enter the number of years you plan to save in the "Number of Years" field.
Click the "Calculate" button to see your future savings balance.

The calculator will display your future balance, total interest earned, and a growth chart showing how your savings grow over time.

Formula Used

The future value of a savings account with monthly deposits is calculated using the following formula:

Future Value = P × (1 + r/n)^(nt) + PMT × (((1 + r/n)^(nt) - 1) / (r/n))

Where:

P = Initial deposit amount
PMT = Monthly deposit amount
r = Annual interest rate (in decimal)
n = Number of times interest is compounded per year
t = Number of years

This formula accounts for both the initial deposit and the regular monthly deposits, with interest compounded at the selected frequency.

Worked Example

Let's say you have $1,000 as an initial deposit, plan to deposit $200 each month, and expect an annual interest rate of 5% compounded monthly. You want to know how much you'll have after 10 years.

Using the formula:

Future Value = 1000 × (1 + 0.05/12)^(12×10) + 200 × (((1 + 0.05/12)^(12×10) - 1) / (0.05/12))

Calculating this gives you a future value of approximately $42,350. This example shows how regular monthly deposits combined with compound interest can significantly grow your savings over time.

FAQ

How does compound interest affect my savings?

Compound interest means your money earns interest not just on the initial deposit, but also on the accumulated interest from previous periods. This causes your savings to grow faster over time than simple interest.

What happens if I change the interest rate?

A higher interest rate will result in a larger future balance because your money earns more interest over time. Conversely, a lower interest rate will result in a smaller future balance.

Can I use this calculator for different currencies?

Yes, you can use this calculator for any currency. Just enter the amounts in your local currency and the interest rate in the appropriate currency.