Lump-sum growth comparison
Compare the same principal, rate, and term across compounding frequencies.
Match quoted products on effective yield and conditions, not frequency alone.
Model a lump sum and optional end-of-period deposits across five compounding frequencies, with effective yield and a yearly growth chart.
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Compounding frequency
Compounding insights
How it works
With no recurring deposit, A = P(1 + r/n)n·t — principal P grows at annual rate r compounded n times per year over t years. Higher compounding frequency lifts the effective yield above the nominal rate, which is why both are shown.
When you add an amount each period, that deposit is applied at the end of every compounding period — an ordinary annuity — so the balance is A = P(1 + i)N + C × ((1 + i)N − 1) / i, where i = r/n is the periodic rate, N = n·t is the number of periods and C is the deposit. A deposit made at the start of each period instead would earn one extra period of interest, which this tool does not model.
Both forms assume the rate never changes, every deposit is made on time, and nothing is withdrawn. They are before tax, fees and inflation — all three of which materially reduce what a real balance is worth.
Overview
Enter principal, nominal annual rate, duration, one of five compounding frequencies, and an optional deposit for each compounding period. The tool models each recurring deposit at the end of its period, then shows maturity value, invested amount, modeled interest, effective annual yield, a Rule of 72 approximation, and yearly growth.
Choose yearly, half-yearly, quarterly, monthly, or daily compounding.
See how the quoted nominal rate translates after the selected compounding frequency.
Add the same amount at the end of every compounding period and track total contributions.
A chart separates money contributed from modeled compound growth over time.
How it works
Three steps, in the order the tool above actually takes them.
Use the quoted nominal rate and the compounding frequency stated by the account or scenario.
Treat the optional contribution as an end-of-period deposit at the selected frequency.
Account for changing rates, taxes, fees, withdrawals, inflation, and missed deposits before relying on the estimate.
Use cases
The jobs this page is usually opened for, and the setting that makes each one quick.
Compare the same principal, rate, and term across compounding frequencies.
Match quoted products on effective yield and conditions, not frequency alone.
Add a constant amount at the end of every selected compounding period.
Monthly frequency means twelve deposits per year; quarterly means four.
Use the Rule of 72 output as a rough explanation of rate sensitivity.
It is an approximation and does not replace the calculator's period-by-period result.
When money enters changes the outcome
Two accounts with the same contribution, rate, and frequency can show different results if deposits arrive at different times. This tool uses an ordinary-annuity convention: the recurring contribution is added after each period's existing balance earns interest.
| Input or result | Unsafe conclusion | Responsible interpretation |
|---|---|---|
| Compounding frequency | More frequent always makes a product better. | Compare effective yield, fees, liquidity, tax, risk, and product terms together. |
| Per-period deposit | The amount is always monthly. | Its frequency follows the selected compounding option. |
| Maturity value | The rate and every deposit will remain unchanged. | It is a constant-rate, on-time-deposit scenario before deductions. |
| Rule of 72 | This is an exact contractual doubling date. | It is a quick approximation based only on the nominal rate. |
More frequent always makes a product better.
Compare effective yield, fees, liquidity, tax, risk, and product terms together.
The amount is always monthly.
Its frequency follows the selected compounding option.
The rate and every deposit will remain unchanged.
It is a constant-rate, on-time-deposit scenario before deductions.
This is an exact contractual doubling date.
It is a quick approximation based only on the nominal rate.
Privacy
Principal, rate, term, frequency, recurring deposit, currency, and calculated growth remain in this tab and are not autosaved. Copy summary writes the current estimate to the clipboard only after you request it; no financial institution is contacted.
The arithmetic runs in the browser and does not connect to a bank, lender, fund, tax account, marketplace, payroll system, or credit bureau. Copy and download actions occur only after you choose them.
Most Finance tools keep values only in the open tab. Profit scenarios are saved to localStorage only when you select Save, while the Invoice Generator autosaves its draft, business profile, invoice number, and embedded logo in localStorage.
Results follow the entered assumptions and published formulas. They are not quotes, forecasts, filings, affordability decisions, accounting records, or financial, tax, legal, lending, or investment advice.
The page shell can send the tool slug, never calculator inputs, invoice fields, saved products, or results. The endpoint is rate-limited with a transient requesting address and is skipped for Do Not Track or Global Privacy Control.
More detail in how processing works and our privacy policy.
Limits
The values this tool actually enforces, not a rounded-up version.
The model is before tax, fees, and inflation. Contributions are a fixed amount added at the end of each compounding period; for monthly investing with annual step-ups, use the SIP Calculator. The rate remains constant for the full term, so variable-rate products and missed deposits are outside the model. Tax treatment depends on the product, jurisdiction, and user circumstances; results are informational estimates rather than advice.
FAQ
The ones that actually come up.
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