How to Calculate Compound Interest Monthly (With Examples)

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Short answer

To calculate compound interest monthly, divide the yearly rate by 12, add 1, raise it to the power of the number of months, and multiply by your starting balance: A = P × (1 + r/12)12t. For example, 10,000 at 6% compounded monthly for 10 years grows to about 18,194.

Compound interest is interest that is added to your balance and then earns interest itself. When it is compounded monthly, this happens twelve times a year, so your money grows a little faster than with yearly compounding. The formula looks scary at first, but it only has four parts. This guide walks through it slowly, shows two worked examples, and explains how to add a regular monthly deposit.

The monthly compound interest formula

For a single deposit that is left to grow, the future value is:

A = P × (1 + r ÷ 12)12 × t

The part in brackets, 1 + r ÷ 12, is the growth factor for one month. Raising it to the power of 12 × t applies that growth once for every month. If your bank compounds daily, quarterly or yearly instead, replace 12 with 365, 4 or 1.

Step by step: a worked example

Suppose you put 10,000 into a savings account paying 6% a year, compounded monthly, and leave it for 10 years.

  1. Find the monthly rate. 0.06 ÷ 12 = 0.005, which is 0.5% per month.
  2. Add 1. 1 + 0.005 = 1.005.
  3. Count the months. 12 × 10 = 120 months.
  4. Raise to the power. 1.005120 ≈ 1.8194. On a phone calculator, type 1.005, press the xy or ^ key, then type 120.
  5. Multiply by the principal. 10,000 × 1.8194 ≈ 18,194.

So the account would hold about 18,194, of which roughly 8,194 is interest. You can confirm this in seconds with our compound interest calculator: enter 10,000 as the starting balance, 0 as the monthly deposit, 6% and 10 years, and choose monthly compounding.

How much difference does monthly compounding make?

Using the same 10,000 at 6% for 10 years, here is how the compounding frequency changes the result:

CompoundingPeriods per yearBalance after 10 years
Yearly1≈ 17,908
Quarterly4≈ 18,140
Monthly12≈ 18,194
Daily365≈ 18,220

Monthly compounding beats yearly compounding by about 285 here. The jump from monthly to daily is much smaller. In practice, the interest rate and the time you leave the money invested matter far more than the compounding frequency.

Adding a monthly deposit

Most people do not just deposit once; they add money every month. For deposits made at the end of each month, the extra amount they grow into is:

FV = D × ((1 + r ÷ 12)12t − 1) ÷ (r ÷ 12)

where D is the monthly deposit. Say you add 200 a month for the same 10 years at 6%:

  1. The growth factor is again 1.005120 ≈ 1.8194.
  2. Subtract 1 to get 0.8194, then divide by 0.005 to get about 163.88.
  3. Multiply by the deposit: 200 × 163.88 ≈ 32,776.

Add the 18,194 from the starting balance and the total is about 50,970. You paid in 34,000 in total (10,000 plus 120 deposits of 200), so nearly 17,000 came from interest. If you deposit at the start of each month, each payment earns one extra month of interest, and the deposit part rises to about 32,940. Our calculator has a setting for both cases.

Monthly compounding and the effective annual rate

Banks often advertise two numbers. The nominal rate is the headline yearly rate (6% in our example). The effective annual rate, sometimes called the APY, shows what you really earn in a year once monthly compounding is included:

EAR = (1 + r ÷ 12)12 − 1

For 6% compounded monthly, that is 1.00512 − 1 ≈ 6.17%. When you compare accounts, compare effective rates, because they put every compounding schedule on the same footing. The U.S. Securities and Exchange Commission’s investor education site explains the same idea and offers its own calculator if you want a second check.

Common mistakes to avoid

Doing it in a spreadsheet

In Excel or Google Sheets, the future value of a starting balance plus monthly deposits is =FV(6%/12, 120, -200, -10000), which returns about 50,970. The minus signs tell the spreadsheet that money is leaving your pocket. Add a fifth argument of 1 if deposits happen at the start of each month.

Putting it to work

Once you can calculate monthly compound interest, you can answer practical questions: how long it takes to reach a goal, how much a higher rate is worth, or what happens if you start five years earlier. The savings calculator works backwards from a goal, and our guide to how much to save each month shows how to turn a target into a monthly figure. For the bigger picture of why starting early matters, read compound interest explained.

Frequently asked questions

What is the formula for compound interest compounded monthly?

A = P × (1 + r/12)^(12t), where P is the starting amount, r is the yearly rate as a decimal and t is the number of years. For example, 10,000 at 6% for 10 years gives about 18,194.

Is monthly compounding better than yearly?

Yes, slightly. With the same nominal rate, monthly compounding adds interest twelve times a year, so the balance grows a little faster. At 6% for 10 years, 10,000 grows to about 18,194 monthly versus about 17,908 yearly.

How do I calculate compound interest with monthly contributions?

Calculate the starting balance with A = P × (1 + r/12)^(12t), then add the deposits using D × ((1 + r/12)^(12t) − 1) ÷ (r/12). Our compound interest calculator does both parts at once and lets you choose start- or end-of-month deposits.

What is the difference between APR and APY?

APR (or the nominal rate) is the yearly rate before compounding. APY, the effective annual rate, includes compounding. At 6% compounded monthly, the APY is about 6.17%.

Does compound interest work on loans too?

Yes. Credit cards and many loans charge interest on unpaid interest, so balances grow the same way. That is why paying more than the minimum reduces the total cost so much.

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