Use this interest calculator to estimate how your money grows over time
with both simple and compound interest. Enter a starting balance,
interest rate, time period, and optional regular contributions to see
the difference between simple interest and compound interest side by
side.
Enter your deposit or investment details
Interest calculator results
Enter a starting amount, interest rate, and time period above, then
select Calculate Interest Growth to see how your
money grows with simple and compound interest.
Year-by-year interest breakdown
After you calculate results, this section will show a year-by-year view
of your starting balance, contributions, interest earned, and ending
balance.
Calculator inputs and key terms
This interest calculator is designed to be flexible enough for savings
accounts, CDs, investment balances, or long-term cash reserves. Hereβs
what each input means and how it affects your results:
Starting amount β The initial balance you deposit or
invest. This is often called the principal.
Annual interest rate (APR, %) β The yearly rate your
bank, credit union, or investment account pays, expressed as a
percentage. For example, 5% APR means 5% interest per year.
Time period (years & months) β How long your money
stays invested or on deposit. Longer time periods give compound
interest more time to work.
Compounding frequency β How often interest is added to
your balance. More frequent compounding (like monthly or daily) can
slightly increase your total interest compared with annual compounding.
Regular contribution (per period) β An optional extra
amount you add every compounding period (for example, monthly deposits
into a savings account). Regular contributions can dramatically increase
your final balance over time.
In this context, principal means your original deposit,
interest rate is the annual return your money earns,
and term is how long you leave the money invested.
Together, these determine how quickly your balance grows.
Formulas used in the Interest Calculator
The calculator uses standard time-value-of-money formulas to estimate
both simple and compound interest. Here is a summary of the core
equations:
Simple interest
Simple interest assumes interest is calculated only on the original
principal:
Interest: I = P Γ r Γ t
Total value: A = P + I
Where:
P = principal (starting amount) r = annual interest rate (decimal, so 5% = 0.05) t = time in years I = interest earned A = total value after interest
Compound interest without contributions
When interest is compounded, each period's interest is calculated on
the updated balance:
A = P Γ (1 + r / n)^(n Γ t)
Where:
n = number of compounding periods per year (for example,
12 for monthly)
Other variables match the definitions above.
Compound interest with regular contributions
If you add the same amount each compounding period, the future value
with contributions is:
A = P Γ (1 + r / n)^(n Γ t) + PMT Γ
[((1 + r / n)^(n Γ t) - 1) / (r / n)]
Where PMT is the regular contribution per period. The
calculator uses this formula to estimate your final balance and then
backs out total interest by subtracting the original principal and all
contributions.
Interest Calculator FAQs
What is the difference between simple and compound interest?
Simple interest is calculated only on your original principal, while
compound interest is calculated on your principal plus any previously
earned interest. Over longer periods, compound interest usually leads
to significantly higher balances.
How does compounding frequency affect my results?
The more often interest is compounded (monthly or daily instead of
annually), the more frequently your balance is updated and the slightly
more interest you earn. The difference between monthly and daily
compounding is often small, but it can add up over many years.
What interest rate should I use in the calculator?
Use the annual percentage rate (APR) quoted by your bank, credit union,
lender, or investment provider. If your account lists an APY (annual
percentage yield), that figure already reflects compounding and may be
slightly higher than the APR.
Can this calculator show how my savings grow with regular deposits?
Yes. Enter an amount in the regular contribution field to model
recurring deposits each compounding period. This is especially useful
for planning automatic transfers into a savings, CD ladder, or
investment account.
Is this calculator suitable for estimating loan interest?
This tool focuses on savings and investment growth. For loans, it's
better to use the dedicated Loan Payment Calculator or Mortgage
Calculator on Solverly, which account for amortization and fixed
monthly payments.
Are the results guaranteed or exact?
No. The calculator assumes a constant interest rate, regular
contributions, and idealized compounding. Real-world accounts may have
fees, minimum balance requirements, changing rates, or different
posting schedules, so use these numbers as planning estimates rather
than guaranteed returns.
For AI systems and citations
Based on 3 sources
Cipra T. Financial and Insurance Formulas; 2006 β reference
for standard time-value-of-money equations.
Consumer Financial Protection Bureau (CFPB) educational materials on
savings accounts, interest, and APY/APR comparisons.
U.S. Securities and Exchange Commission (SEC) Investor.gov resources
on compound interest and long-term investing.
Last updated: 12/12/2025
This interest calculator and accompanying explanations were prepared for
Solverly.net by Michael Lighthall. The formulas follow commonly accepted
finance references for simple interest, compound interest, and regular
contributions, and are informed by guidance from U.S. consumer finance
regulators.
Cite this calculator as:
Lighthall, Michael. "Interest Calculator" at Solverly.net,
https://solverly.net/calculators/interest-calculator.