Compound Interest
Savings Calculator
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๐Ÿ“Š Calculation Results

Description Amount
Initial Deposit $10,000.00
Total Deposits $0.00
Total Interest Earned $0.00
Final Balance $0.00

Growth Over Time

Principal + Deposits Interest Earned

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What is daily compound interest?

With compound interest, the interest you have earned over a period of time is calculated and then credited back to your starting account balance. In the next compound period, interest is calculated on the total of the principal plus the previously accumulated interest.

The cool thing about this interest is a cyclical and snowballโ€like effect: the older your investment grows, the more you benefit. The interest on the interest, if left free to compound, adds fuel to your gains over time, and the compounding continues faster and faster.

When someone talks of daily compound interest, they really mean that the interest is calculated daily, meaning that interest is computed at the end of each day on the balance in the account on that day. While some banks do this, most credit card companies also use daily compounding on balances.

It's very important to note that compounding frequency can make a big difference to the final total. For example, if you invest $10,000 for 10 years, earning 5% interest per year, the amount of interest you earn will depend greatly on the compounding frequency:

  • Annual compounding (1x/year): $16,288.95
  • Monthly compounding (12x/year): $16,470.09
  • Daily compounding (365x/year): $16,486.65

Examples of financial accounts that use daily compounding include savings accounts, money market accounts, and some certificate of deposit (CD) accounts.

How to calculate daily compound interest

Daily compound interest is calculated using a simplified version of the compound interest formula. To begin your calculation, take your daily interest rate and add 1 to it. Then, raise that figure to the power of the number of days you want to compound for. Subtract the starting balance from your result if you want to see just the interest figure.

Note that if you wish to calculate future projections without compound interest, we have a calculator for simple interest without compounding.

Let's see it in a formula below.

Formula for daily compound interest

The formula for calculating daily compound interest with a fixed daily interest rate is:

A = P(1+r)t
A = the future value of the investment
P = the principal (initial deposit)
r = the daily interest rate (decimal)
t = the number of days the money is invested for

Example investment

Let's use the example of $1,000 at 0.04% daily for 365 days:

A = P(1+r)t

A = 1000(1+0.0004)365

A = 1000 ร— 1.15716...

A โ‰ˆ $1,157.16

So your total interest earned, on top of the principal amount of $1,000, would be about $157.16. Not bad for doing absolutely nothing at all.

Daily compounding with annual interest rate

If you have an annual interest rate and you want to calculate daily compound interest, the formula you would use is:

A = P(1+r/365)365ร—t
A = the future value of the investment
P = the principal (initial deposit)
r = the annual interest rate (decimal)
t = the number of years the money is invested

Including additional deposits

Making regular, small deposits to your savings account is the greatest power to growing your balance over time. You can choose to make additions monthly, quarterly, semi-annually, or annually.

It really is the secret of compounding โ€” by adding consistently to your savings, you get to benefit from the interest earned on those extra deposits as well. This helps accelerate growth enormously, especially over longer time horizons.

Questions about our calculator

Here are some frequently asked questions to assist you in using our daily compound interest calculator.

What is the daily interest rate?

The daily interest rate is the percentage figure your bank uses to work out the amount of compound interest accrued on your balance daily. To find the daily rate yourself, take your annual percentage rate (APR) and divide it by 365 (or 360 for some banks). For example, an annual rate of 5% would give a daily rate of approximately 0.0137%.

Calculating weekdays from calendar dates

It is easy to work out your time in calendar days by looking at the number of days in the period. For this, you can use our Days Between Dates Calculator. You can also fine-tune your calculations using our Date Calculator.

Is the year 365 or 366 days?

The calculator offers the option of using 365 or 360 days in a year. Most banks use 365 days per year for their interest calculations, while a few others use 360 (also known as the "Banker's year"). The key difference is that 360-day calculations result in a slightly higher effective interest rate.

And finally...

I hope this tool helps you with your compound interest calculations. If you find the calculator useful, I'd appreciate it if you could take a moment to share it on your favorite social media platform. Thanks for using The Calculator Site!