Annualized Return Calculator

Convert monthly returns to annualized returns instantly with our free calculator. Includes formula, step-by-step calculation, and Excel method.

✓ 100% Free • Instant Results • Formula Included

Enter Monthly Returns

Enter your monthly returns in percentage. Use negative numbers for losses.

Your Annualized Return

Annualized Return
12.23%
Based on 12 monthly returns
  • Number of Months 12
  • Total Cumulative Return 12.23%
  • Simple Average (Monthly) 0.98%
  • Arithmetic Annual Return (×12) 11.76%
  • Best Month +2.40%
  • Worst Month -1.50%
Formula Used: Annualized Return = [(1 + R1) × (1 + R2) × ... × (1 + R12)]^(12/12) - 1
Excel Formula: =PRODUCT(1+A1:A12)^(12/COUNT(A1:A12))-1

Step-by-Step Calculation

Annualized Return Formula

📐 Standard Formula

Annualized Return = [(1 + R1) × (1 + R2) × ... × (1 + Rn)]^(12/n) - 1
  • R1, R2, ..., Rn = Monthly returns (in decimal form)
  • n = Number of months
  • ^ = Power (raise to)

📊 Excel Formula

=PRODUCT(1+A1:A12)^(12/COUNT(A1:A12))-1

Alternative (GEOMEAN):

=GEOMEAN(1+A1:A12)^12-1

Both formulas give the same result. Use PRODUCT for clarity, GEOMEAN for elegance.

Worked Example

Monthly Returns: 2%, 2.2%, 2.1%, -1.5%, 2%, 2.4%, 1%, -1.2%, -0.5%, 0.7%, 1%, 1.5%

Step 1: Convert to decimal

1.02, 1.022, 1.021, 0.985, 1.02, 1.024, 1.01, 0.988, 0.995, 1.007, 1.01, 1.015

Step 2: Multiply all values

1.02 × 1.022 × 1.021 × 0.985 × 1.02 × 1.024 × 1.01 × 0.988 × 0.995 × 1.007 × 1.01 × 1.015 = 1.1223

Step 3: Subtract 1

1.1223 - 1 = 0.1223 = 12.23% Annualized Return

How to Calculate Annualized Returns from Monthly Returns

If you have monthly investment returns and want to know the equivalent annual return, you need to account for compounding. Simply multiplying your monthly return by 12 gives you the wrong answer because it ignores how returns compound over time.

Why Simple Multiplication is Wrong

Suppose your investment returns 2% every month. Many people would calculate: 2% × 12 = 24% annual return. But this is incorrect.

The actual annualized return is 26.82% because each month's return is calculated on the previous month's balance:

  • Month 1: ₹100 → ₹102
  • Month 2: ₹102 → ₹104.04
  • Month 3: ₹104.04 → ₹106.12
  • ... and so on
  • Month 12: ₹126.82

That extra 2.82% is the power of compounding.

The Correct Formula

To calculate annualized returns from monthly returns, use this formula:

Annualized Return = [(1 + R1) × (1 + R2) × ... × (1 + Rn)]^(12/n) - 1

Where R1, R2, ..., Rn are your monthly returns in decimal form and n is the number of months.

Handling Negative Returns

For negative monthly returns, subtract from 1. For example:

  • +2% becomes 1.02
  • -1.5% becomes 0.985 (1 - 0.015)
  • 0% becomes 1.00

Using Excel to Calculate Annualized Return

Excel has two excellent formulas for this:

Method 1: PRODUCT

=PRODUCT(1+A1:A12)^(12/COUNT(A1:A12))-1

Method 2: GEOMEAN

=GEOMEAN(1+A1:A12)^12-1

Both formulas give the same result. If A1:A12 contains your monthly returns (as percentages like 2% or -1.5%), these formulas handle everything automatically.

Annualized Return vs Other Metrics

  • Average Return: Simple mean of all returns. Ignores compounding.
  • Cumulative Return: Total return over the period. Doesn't annualize.
  • Annualized Return: Equivalent yearly return accounting for compounding. Best for comparison.
  • CAGR: Compound Annual Growth Rate. Same as annualized return for investments.

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