Return Annualizer Calculator
Convert a daily, weekly, monthly or quarterly return into an annualized return with compounding. See the formula, worked examples and when it misleads.
The return annualizer calculator converts a daily, weekly, monthly or quarterly percentage into a yearly equivalent with gains or losses carried into each repeat. It assumes the same percentage repeats and any gains stay invested. The money outputs use an illustrative ₹1,00,000 starting amount. This is a comparison calculation, not a forecast. There is also a current limitation: entering a zero return substitutes a positive default, so do not use the displayed result for a flat period.
Enter the return for the period you actually measured
Return for Period is the percentage gained or lost over the selected interval. Period Type identifies that interval. A total return measured across several months is different from a monthly return; selecting Monthly would incorrectly repeat the whole multi-month result each month.
| Control | Meaning in this calculator |
|---|---|
| Return for Period | The percentage for a single selected interval; enter a negative value for a loss. |
| Period Type | Daily, Weekly, Monthly or Quarterly. It identifies the return interval, rather than a separate deposit schedule. |
| Trading Days/Year | The assumed count used in Daily mode. Changing it does not affect Monthly, Weekly or Quarterly results. |
There are no beginning-value, ending-value, date-range or cash-contribution inputs. Work out your percentage return separately before using the form. For a simple investment without intervening deposits, withdrawals or income, the percentage is (ending value ÷ beginning value − 1) × 100. Keep the starting capital basis consistent when reviewing leveraged trades.
Annualized return calculator: two ways to enter your numbers
People reach for an annualised return in two situations, and only one of them fits this form. In the first you know the return for one repeating period, such as 2% a month. This calculator does that: you enter the percentage, pick the period type and read the yearly equivalent. In the second you know a start value, an end value and a holding period in days. The form has no start or end value fields, so use the formula below by hand and then, if you like, check it against the form.
- Return per period mode (this form). Enter 2, choose Monthly, and the form repeats it 12 times with compounding.
- Start and end value mode (by hand). Annualised return = (end value / start value) raised to (365 / days held), minus 1. This is the same idea as CAGR with the holding period in days.
Example with made-up numbers: an account goes from ₹1,00,000 to ₹1,18,000 over 200 days. The total return is 18%. Raising 1.18 to the power 1.825 and subtracting 1 gives about 35.3% a year. That is what the figure would be if the same growth rate continued for a full year, which is rarely a safe assumption.
Short holding periods stretch a small gain into a large annual number. An annualised figure from a few days of results is an arithmetic conversion, not an estimate of what you will earn.
The annualisation formula used here
If r is the percentage return for a period and n is the assumed number of such periods in a year, the compounded annual percentage is [(1 + r ÷ 100) raised to n − 1] × 100. The multiplier is the same growth factor before subtracting 1. Each repeat is applied to the balance after the preceding repeat, including any gains or losses.
The calculator assumes 12 monthly periods, 4 quarterly periods or 52 weekly periods. Daily mode uses your Trading Days/Year entry. These are the tool's annualisation conventions; they are not a verified exchange calendar or an exact count of periods in every date range. If your data measures calendar-day returns, a trading-day count answers a different question.
The University of Washington's return-calculation notes show why compounding monthly returns differs from simply multiplying by the number of months. They also distinguish multiplying a sequence of actual period growth factors from repeatedly applying the same assumed rate. This tool implements the repeating-rate case.
Worked example: a monthly percentage
Suppose, purely as an illustration, that the return for a month is 2%. Select Monthly. Repeating the assumed 2% for 12 months gives (1.02 raised to 12 − 1) × 100 = 26.82%, rounded. Simple multiplication would give 2 × 12 = 24%, which omits the effect of returns on earlier gains.
| Output | Result for the fictional monthly example | How to read it |
|---|---|---|
| Final Amount | ₹1,26,824 | Illustrative starting capital multiplied by the full, unrounded growth factor. |
| Total Gain | 26,824 | The assumed rupee increase on the reference capital; the card itself has no currency prefix. |
| Multiplier | 1.27 | Rounded growth factor, displayed with less precision than used in the money calculation. |
| Effective Rate | 26.82% | Compounded yearly equivalent if the assumed monthly result repeats. |
The full multiplier is about 1.26824. Multiplying the rounded card value by ₹1,00,000 would therefore give a different amount. The money outputs use the full value before rounding to whole rupees. They do not show what your actual account earned, because you have not entered its balance.
Daily return to annual return: 252 or 365 days?
To convert a daily return, the form raises the daily growth factor to the number of trading days you enter, then subtracts 1. The choice of day count matters a lot, because the exponent drives the answer. Using trading days (days the market is open) fits a daily return from a trading account. Using 365 calendar days fits a return that accrues every day, such as interest. Do not mix the two.
The table compares simple multiplication with compounding for a made-up 0.1% daily return. The 252 figure is a common convention for the number of trading days in a year; your own count depends on the exchange holiday calendar, so replace it if you know better.
| Method | Annual equivalent |
|---|---|
| Simple: 0.1% x 252 days | 25.2% |
| Compounded over 252 trading days | 28.6% |
| Compounded over 365 calendar days | 44.0% |
Both compounded figures assume that the same 0.1% happens every day, with no losing day. A trader's daily results are uneven, so a single daily figure repeated for a year says very little about the year. Use this only for comparisons, for example to see how much a 0.1% daily average would be worth if it held up.
A related trap: 1% a day sounds small, yet compounding it over 252 trading days gives 1,127%. No honest record looks like that, which is why the annual equivalent of a short hot streak should be ignored.
Negative returns and the zero-return problem
For a second hypothetical example, enter −2% and select Monthly. The compounded yearly equivalent is (0.98 raised to 12 − 1) × 100 = −21.53%. The illustrative balance becomes ₹78,472, and Total Gain is −21,528. Losses reduce the balance on which the next assumed loss is calculated.
A true zero return should leave the starting balance unchanged. The present form treats zero as a missing value and substitutes its positive default. That is an input-handling limitation, so a flat-period result needs a separate calculation. Clearing the field also does not establish a valid zero scenario.
Converting monthly and quarterly returns to annual, and back
Going from a period to a year uses the growth factor raised to the number of periods. Going back uses the root. The equivalent periodic rate for a target annual return A is (1 + A) raised to 1/n, minus 1, where n is the number of periods in a year. The University of Washington notes use the same relation: an annual return from a constant monthly return is one plus the monthly return raised to 12, minus 1.
| Period | Rate needed to compound to 20% a year |
|---|---|
| Monthly (12) | 1.531% |
| Quarterly (4) | 4.664% |
| Weekly (52) | 0.351% |
| Daily (252) | 0.072% |
Check the other direction with a quarterly example. A made-up 5% a quarter repeated four times compounds to 21.55% a year, higher than the simple 20%. Use the form with Quarterly selected to confirm it.
Annualised return, CAGR and an average answer different questions
An annualised figure expresses growth on a common yearly scale. CAGR means compound annual growth rate: the constant annual rate linking a beginning and ending value over a known holding period. The CAGR calculator is a more suitable starting point when those are the values you have.
An arithmetic average simply adds period returns and divides by their count. It can hide the effect of losses on capital. In a separate made-up two-period example, a gain of 10% followed by a loss of 10% produces a growth factor of 1.10 × 0.90 = 0.99, or a total loss of 1%. The arithmetic average is zero even though the ending balance is lower.
Do not enter a simple average of variable trading returns and assume the output reconstructs your account history. This form accepts a single repeating percentage. It cannot reproduce different daily results, changing capital, overlapping positions or money removed from the account.
Annualised return vs CAGR vs XIRR
The three terms overlap but are not interchangeable.
- Annualised return converts a return for any period into a yearly equivalent. It can start from a single period return or from start and end values.
- CAGR (compound annual growth rate) is the constant yearly rate that links a start value and an end value over a number of years. The University of Washington notes write it as the ratio of end to start raised to 1/n, minus 1. Our CAGR calculator does this.
- XIRR (extended internal rate of return) handles money going in and out on different dates. Microsoft's documentation says XIRR returns the internal rate of return for cash flows that are not necessarily periodic, uses a 365-day year, and needs at least one positive and one negative value.
For a lump sum held for years, CAGR and annualised return are usually the same number. For a SIP (systematic investment plan), where you invest every month, the money in the account has been invested for different lengths of time, so a plain CAGR on the total misleads. XIRR is built for this. See our SIP returns calculator and the guide on what SIP investment is.
Why it matters, with made-up numbers: someone puts in ₹10,000 a month for 12 months, a total of ₹1,20,000, and ends with ₹1,30,000. The simple gain is 8.3%, but most of the money was invested for less than a year, so the true yearly rate is higher than that figure. An XIRR calculation with the actual dates gives the right answer. This form cannot do that, because it has no dates or cash flow inputs.
Costs, income and cash movements need their own records
FINRA describes total return as price gain or loss plus investment earnings, and says costs affect the amount you keep. Decide whether the percentage you enter includes income and charges. There is no automatic tax, fee, dividend or currency adjustment here. Comparing an after-cost trading return with a before-cost benchmark leaves an important difference hidden.
Additional deposits are not investment gains. If you added money during the measured period, a simple beginning-to-ending balance comparison can overstate the return. Use a separate return calculation that accounts for when money enters or leaves; this calculator has no way to enter the dates or amounts of contributions and withdrawals.
The compound-interest calculator explores a different set of growth assumptions. For trading records, keep the capital base and calculation method beside the result so a later comparison remains meaningful.
A large annual equivalent can come from a short lucky period
The calculation knows the percentage and interval; it knows nothing about whether the result can repeat. A profitable day may include a favourable price move, unusual leverage or a risk that would be unacceptable if repeated. Compounding that day across an assumed year does not establish an achievable return.
Read the annual equivalent alongside the observed holding period, actual money outcome and risk taken. A matching annual percentage can conceal very different losing streaks and capital declines. The maximum drawdown calculator addresses a peak-to-trough capital fall separately.
What is a good annualised return?
No single number is good. A useful way to judge a figure is to compare it with alternatives over the same dates and with the risk you took. For an investor in India that can mean the return on a bank fixed deposit quoted today, the return of a broad index such as the Nifty 50 over the same period (you can get it from NSE Indices), and the worst fall in your account during the period. A return that beats the index only because you took much larger swings may not be better.
Check how it was measured. Was it after charges and tax? Did it include money added during the year? Is the period long enough to include a bad stretch? Past results do not reliably predict future ones, as FINRA also says. The drawdown entry explains how to measure the fall, and our compound interest calculator for traders shows how a rate grows over time.
Return annualizer calculator questions
Sources
- University of Washington, Eric Zivot: Return Calculations, checked 15 October 2026.
- FINRA: Key Concepts: Return and Rate of Return, checked 15 October 2026.
- FINRA: How Are Your Investments Doing? Returns, Explained, checked 15 October 2026.
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