Finance calculators

Monthly Compound Interest Calculator

Updated Sep 3, 2026 By Jehan Wadia
Rate Formulas

Investment Details

Investment Duration
Years (0–50)
Months (0–11)
= 120 months total

Monthly Contributions

Deposit Timing

Inflation & Tax (Optional)

Results After 10 years

Final Balance
$0.00
Nominal value at the end of the term
Total Principal Contributed
$0.00
Starting balance + all deposits
Total Interest Earned
$0.00
 
Effective Annual Yield (EAY)
0.00%
 
Inflation-Adjusted Final Balance
$0.00
 
After-Tax Interest Earned
$0.00
 
Step-by-Step Solution
Contributions vs. Interest
Balance Growth Over Time
Growth Breakdown
Breakdown view:
Year-by-year growth of the balance.
Year Month Starting Balance Contributions This Period Interest This Period Ending Balance Cumulative Interest

Introduction

This Monthly Compound Interest Calculator shows how your money can grow each month. Compound interest means you earn interest on your starting money and on the interest you already earned. Over time, that snowball effect can add up fast.

Start by typing in your starting balance, your yearly interest rate, and how long you plan to save. You can also add a monthly deposit, pick if you deposit at the start or end of each month, and raise that deposit a little each year. For a more real-world answer, add an inflation rate and a tax rate on interest.

You get back your final balance, the total money you put in, and the total interest you earned. The page also shows your effective annual yield, a step-by-step solution with the math, two charts, and a full month-by-month or year-by-year table. Use it to plan a savings account, a CD, or any account that compounds.

How to use our Monthly Compound Interest Calculator

Enter your starting money, your interest rate, how often it compounds, how long you will save, and any monthly deposits. The calculator shows your final balance, total deposits, total interest earned, effective annual yield, plus month-by-month and year-by-year growth.

Principal (Starting Balance): Type the amount of money you have right now, before any interest or deposits. Use 0 if you are starting from scratch.

Annual Interest Rate: Type the yearly rate your bank or account pays. Enter 5 for 5%.

Compounding Frequency: Pick how often interest is added to your balance: daily, weekly, bi-weekly, monthly, quarterly, semi-annually, or annually.

Investment Duration: Enter the number of years (0 to 50) and any extra months (0 to 11). The tag below shows your total months.

Regular Monthly Contribution: Type how much you add each month. Leave it at 0 if you only want to grow a lump sum.

Deposit Timing: Choose Beginning of Month or End of Month. Beginning-of-month deposits earn one extra month of interest each time.

Annual Contribution Increase: Type the percent your monthly deposit goes up each year. Use 0 to keep the same deposit the whole time.

Annual Inflation Rate: Type the yearly inflation percent to see your final balance in today's dollars. Enter 0 to skip it.

Tax Rate on Interest: Type the percent of tax you pay on interest income. Enter 0 for a tax-free account.

Calculate and Reset: Click Calculate to see your results, the step-by-step math, the charts, and the growth table. Click Reset to go back to the default numbers.

Breakdown view: Switch between Yearly and Monthly to see your balance, deposits, and interest for each period.

What Is Monthly Compound Interest?

Compound interest is interest that earns interest. When interest compounds monthly, your bank or account adds the earned interest to your balance every month. Next month, you earn interest on that bigger balance. Over time, this snowball effect makes your money grow faster than simple interest, which only pays on your starting amount.

The Compound Interest Formula

The basic formula is:

A = P (1 + r/n)nt

  • A = final balance
  • P = principal (money you start with)
  • r = yearly interest rate as a decimal (5% = 0.05)
  • n = how many times interest compounds each year (12 for monthly)
  • t = number of years

If you also add money each month, each deposit grows on its own from the day it lands in the account. Deposits made early earn interest longer, so they grow the most.

Why Compounding Frequency Matters

The more often interest compounds, the more you earn at the same stated rate. Daily compounding beats monthly, and monthly beats yearly. The gap is small, but it adds up over many years. The Effective Annual Yield (EAY) shows the real yearly return after compounding is counted, so you can compare accounts fairly.

Monthly Deposits and Deposit Timing

Adding a set amount every month often does more for your balance than one big deposit. Steady deposits build the balance that interest works on. Timing matters too. Money added at the beginning of the month earns one extra month of interest each time compared to money added at the end of the month.

Raising Your Deposit Each Year

If you get a raise each year, bumping your monthly deposit by even 2% or 3% a year can add a large amount to your final balance, because those extra dollars also compound.

Inflation and Taxes

Inflation makes each dollar buy less over time. A balance of $50,000 in 20 years will not buy what $50,000 buys today. Adjusting for inflation shows your money in today's buying power. Taxes matter too. In a normal savings account, interest is usually taxed as income, which lowers what you keep. In a tax-sheltered retirement account, interest can grow tax-free or tax-deferred.

Where Monthly Compounding Shows Up

  • Savings accounts and high-yield savings
  • Money market accounts
  • Certificates of deposit (CDs)
  • Retirement accounts and investment plans
  • Credit cards and loans (here compounding works against you)

Simple Tips to Grow Faster

  • Start early. Time is the biggest driver of compound growth.
  • Deposit often. Automatic monthly transfers keep the balance rising.
  • Compare EAY, not just the posted rate.
  • Leave it alone. Every withdrawal cuts future interest.

Formulas used

Monthly growth factor from nominal annual rate
f = \left(1 + \frac{r}{n}\right)^{n/12}, \qquad i_m = f - 1
Total number of months
M = 12Y + m
Future value of the starting principal
A_P = P \cdot f^{M}
Future value of level monthly deposits (annuity)
A_C = PMT \cdot \frac{f^{M} - 1}{f - 1} \cdot f^{\,\delta}, \qquad \delta = \begin{cases} 1 & \text{beginning of month} \\ 0 & \text{end of month} \end{cases}
Future value with annually increasing deposits
A_C = \sum_{k=1}^{M} PMT \left(1 + g\right)^{\left\lfloor (k-1)/12 \right\rfloor} f^{\,M-k+\delta}
Final balance, total contributed and total interest
A = A_P + A_C, \qquad I = A - \left(P + \sum_{k=1}^{M} PMT_k\right)
Effective annual yield
EAY = \left(1 + \frac{r}{n}\right)^{n} - 1
After-tax interest and inflation-adjusted balance
I_{\text{after tax}} = I \cdot (1 - \tau), \qquad A_{\text{real}} = \frac{A}{(1 + \pi)^{t}}

Frequently asked questions

How do I turn a yearly interest rate into a monthly rate?

Divide the yearly rate by 12.

  • 6% a year ÷ 12 = 0.5% a month
  • 5% a year ÷ 12 = 0.4167% a month

To find one month's interest, multiply your balance by that monthly rate. On $10,000 at 0.4167%, you earn about $41.67 the first month. Next month you earn interest on $10,041.67, so the amount grows a little each time.

How long does it take to double your money with compound interest?

Use the Rule of 72. Divide 72 by your interest rate to get the rough number of years.

  • 3% rate: 72 ÷ 3 = 24 years
  • 5% rate: 72 ÷ 5 = about 14.4 years
  • 8% rate: 72 ÷ 8 = 9 years

With monthly compounding it happens a bit faster. At 5% compounded monthly, money doubles in about 13.9 years.

How much interest does $10,000 earn in a year at 5% compounded monthly?

About $511.62, giving you $10,511.62 at the end of the year.

Simple interest would pay only $500. The extra $11.62 comes from earning interest on your interest each month. Over 10 years, that same $10,000 grows to about $16,470.

What is the difference between APR and APY?

APR is the plain yearly rate before compounding is counted. APY (also called effective annual yield) shows what you really earn after compounding.

A 5% APR compounded monthly equals an APY of about 5.116%. When you compare savings accounts or CDs, look at APY. Two banks can post the same rate but pay different amounts if they compound at different speeds.

How often do savings accounts compound interest?

Most U.S. banks and credit unions compound daily and pay the interest once a month. Some compound monthly or quarterly instead.

Check the account's disclosure. The difference is small: on $10,000 at 5%, daily compounding earns about $1 more per year than monthly. The rate itself matters far more than the compounding schedule.

Do you pay taxes on compound interest?

Yes, in a regular savings account, CD, or money market account. Interest counts as ordinary income and is taxed the year you earn it, even if you leave the money in the account. Banks send a 1099-INT form if you earn $10 or more.

Interest inside a 401(k), traditional IRA, or Roth IRA is not taxed each year, so it compounds faster.

Is it better to invest one lump sum or add money every month?

A lump sum invested today usually earns more, because every dollar starts compounding right away.

But most people do not have a big lump sum. Monthly deposits work well because they keep adding fuel to the balance. Doing both is strongest: put in what you have now, then add every month.

How much do I need to save each month to reach $1 million?

It depends on your rate and how many years you save. At a 7% yearly return:

  • 40 years: about $380 a month
  • 30 years: about $820 a month
  • 20 years: about $1,920 a month
  • 10 years: about $5,780 a month

Waiting 10 years more than doubles what you must save each month.

Does compound interest work against you on credit cards?

Yes. Most credit cards compound interest daily on any balance you carry past the due date. Unpaid interest gets added to what you owe, and then you pay interest on that too.

At 24% APR, a $5,000 balance grows by roughly $100 in one month if you pay nothing. Paying the full statement balance each month avoids interest entirely.

Why does starting to save 10 years earlier matter so much?

Because the last years of compounding add the most dollars. Saving $250 a month at 7%:

  • Start at age 25, stop at 65: about $657,000
  • Start at age 35, stop at 65: about $306,000

The early saver put in only $30,000 more but ended with more than double. Time, not the deposit size, does most of the work.

What happens to compound growth if I stop making deposits?

The balance keeps growing, just slower. Interest still gets added every month to whatever is in the account.

For example, $50,000 left alone at 5% compounded monthly becomes about $82,350 in 10 years with zero new deposits. Taking money out is what hurts, since every dollar you pull is a dollar that stops earning.

Does raising my monthly deposit a little each year really help?

Yes, and the difference is large. Saving $300 a month for 30 years at 7% gives about $366,000. Raising that deposit by just 3% a year gives about $540,000.

A 3% yearly bump is often smaller than a normal raise, so your take-home pay barely changes while your final balance jumps.