What formula does compound growth use?

With no deposits, ending balance = starting amount × (1 + APY)^years. A nominal rate is first converted to APY using the selected compounding schedule. The formula below the result substitutes your actual inputs.

How are regular deposits counted?

Choose a deposit amount and frequency, then start or end of period. At the end, a deposit appears only when its date is reached; at the start, it can begin earning immediately. A fractional-year term can leave a partial-period growth factor, which is included in the displayed working.

Can I use a negative rate or a fractional-year term?

The supplied-rate arithmetic accepts negative rates above the level that would exhaust the whole balance, and nonnegative terms such as 0.5 years. Effective APY of -100% or lower cannot be projected here. Results use finite browser numbers and refuse amounts or deposit counts outside their representable range.

Is this a CAGR or an account recommendation?

No. The rate is an input to the projection; the calculator does not infer a growth rate from two endpoints or recommend an account. For known invested and returned totals, ROI Calculator computes retrospective return instead.

Can I apply a yearly increase to a nonmonetary number?

Yes, as supplied-rate numeric compounding. With no deposits, 100 at a stated 3% effective annual growth rate for three years becomes 109.2727. All quantities must share a consistent unit and year convention; no salary, tax or institutional policy is inferred.

Can I use this as a reverse CAGR or monthly compound interest calculator?

Yes, for a supplied effective annual growth rate. Choose Effective APY, then enter the known starting amount, supplied annual percentage and duration; without deposits the ending amount is starting amount × (1 + supplied annual rate)^years. For example, 100 at a supplied 10% annual rate over three years becomes 133.1. A nominal annual rate instead uses the selected compounding convention. Monthly deposits have their own frequency and start/end timing. In Excel, the no-deposit equation is =A2*(1+B2)^C2 with starting amount in A2, supplied annual rate formatted as a percentage in B2 and years in C2. This applies an input rate; it does not infer an unknown market return or solve a missing starting amount.

Can I apply a fixed annual percentage increase to a supplied salary amount?

Yes, as a numerical projection using a rate you supply. Choose Effective APY, enter the current gross amount as the starting amount, the fixed annual percentage, elapsed years and no deposits. A supplied 40,000 growing by 3% annually for ten years becomes about 53,756.655174. Keep the pay basis consistent: a monthly amount projects a future monthly amount, rather than converting it into yearly pay. The difference is the change in that pay amount, not total wages earned over the intervening years. Pay Raise Calculator handles a single raise and pay-period conversions; this fixed-rate projection does not infer future raises, taxes or cost-of-living policy.

Compound Interest Calculator

Enter the starting amount and the rate you already have. Choose Effective APY when the quoted rate includes annual compounding, or Nominal annual rate when its compounding frequency still needs to be applied. This page starts with 1,000 at a supplied 5% APY for one year and no deposits, giving 1,050 with 50 interest. Optional deposits use their own frequency and start/end timing; the year-by-year schedule separates paid-in amounts from earned interest.

Balance after 1 year1,050.001,000.00 at 5% APY, compounded monthly

Calculate

Rate supplied

Effective yield (%)

Compounding

Starting amount

Term (years)

Regular deposit

Deposit every

Deposited at the

Where a starting amount and regular deposits end up.

The workingthe arithmetic in full
Balance = 1,000.00 × (1 + 0.05)^1 = 1,050.00
APYwhat the money actually earns
5%
APR / nominalwhat gets advertised
4.888949%
Rate per compounding periodmonthly
0.407412%
Interest for one compounding periodon the starting 1,000.00 only
4.07
Balance after 1 yearon 1,000.00 starting
1,050.00
Interest earned
50.00

Nominal rate and APY are not the same number. The nominal rate ignores compounding; APY includes it. A 5% rate compounded monthly yields 5.116%, and compounded daily it yields 5.127%: same stated rate, different money. The APR / nominal label above means a supplied nominal annual rate. Regulated loan APR can include fees and disclosure rules that this formula does not calculate. Everything on this page is supplied-rate arithmetic.

Common questions

What formula does compound growth use?: With no deposits, ending balance = starting amount × (1 + APY)^years. A nominal rate is first converted to APY using the selected compounding schedule. The formula below the result substitutes your actual inputs.
How are regular deposits counted?: Choose a deposit amount and frequency, then start or end of period. At the end, a deposit appears only when its date is reached; at the start, it can begin earning immediately. A fractional-year term can leave a partial-period growth factor, which is included in the displayed working.
Can I use a negative rate or a fractional-year term?: The supplied-rate arithmetic accepts negative rates above the level that would exhaust the whole balance, and nonnegative terms such as 0.5 years. Effective APY of -100% or lower cannot be projected here. Results use finite browser numbers and refuse amounts or deposit counts outside their representable range.
Is this a CAGR or an account recommendation?: No. The rate is an input to the projection; the calculator does not infer a growth rate from two endpoints or recommend an account. For known invested and returned totals, ROI Calculator computes retrospective return instead.
Can I apply a yearly increase to a nonmonetary number?: Yes, as supplied-rate numeric compounding. With no deposits, 100 at a stated 3% effective annual growth rate for three years becomes 109.2727. All quantities must share a consistent unit and year convention; no salary, tax or institutional policy is inferred.
Can I use this as a reverse CAGR or monthly compound interest calculator?: Yes, for a supplied effective annual growth rate. Choose Effective APY, then enter the known starting amount, supplied annual percentage and duration; without deposits the ending amount is starting amount × (1 + supplied annual rate)^years. For example, 100 at a supplied 10% annual rate over three years becomes 133.1. A nominal annual rate instead uses the selected compounding convention. Monthly deposits have their own frequency and start/end timing. In Excel, the no-deposit equation is =A2*(1+B2)^C2 with starting amount in A2, supplied annual rate formatted as a percentage in B2 and years in C2. This applies an input rate; it does not infer an unknown market return or solve a missing starting amount.
Can I apply a fixed annual percentage increase to a supplied salary amount?: Yes, as a numerical projection using a rate you supply. Choose Effective APY, enter the current gross amount as the starting amount, the fixed annual percentage, elapsed years and no deposits. A supplied 40,000 growing by 3% annually for ten years becomes about 53,756.655174. Keep the pay basis consistent: a monthly amount projects a future monthly amount, rather than converting it into yearly pay. The difference is the change in that pay amount, not total wages earned over the intervening years. Pay Raise Calculator handles a single raise and pay-period conversions; this fixed-rate projection does not infer future raises, taxes or cost-of-living policy.

Browser double-precision arithmetic, rounded to about fifteen significant digits before display. Compounding uses the supplied convention; bank fees, tax, tiered rates and actual crediting policies are not modelled.