CAGR Calculator

CAGR (Compound Annual Growth Rate) is the single number that tells you how fast an investment grew per year, on average, over a given period — smoothed to eliminate the noise of year-by-year volatility. It answers: "If this investment had grown at a constant rate, what would that rate have been?"

For NRI investors managing assets across India and global markets, CAGR is the universal language for comparing incompatible things: a Nifty index fund, a Dubai real estate property, a US S&P 500 ETF, and a fixed deposit in an NRE account all have radically different return structures. CAGR converts them into a single comparable number.

Key reference CAGRs every UAE NRI should know (approximate historical figures):

• Nifty 50: 12–14% CAGR over 15-year periods (in INR)
• S&P 500: 10–13% CAGR over 15-year periods (in USD)
• Dubai residential property: 4–7% CAGR over the last decade (in AED, excluding rental yield)
• NRE fixed deposits: 6–7.5% CAGR (in INR, tax-free for NRIs)
• Gold: 9–11% CAGR in INR over 10-year periods

Enter your starting value, ending value, and the number of years. The calculator returns the CAGR and also runs the Rule of 72 — telling you how many years at that growth rate it takes to double your money.

Where this is most useful for NRIs:

• Evaluating India property vs equity: Your parents' Mumbai flat bought in 2010 for ₹80L is now worth ₹2.1 crore. CAGR: 10.1%. But a Nifty index fund over the same period returned ~13% CAGR. Knowing this CAGR gap helps you decide whether the next investment should be another property or more equity
• Assessing your advisor's performance: If your portfolio went from ₹50L to ₹1.1 crore in 8 years, that's a 10.4% CAGR. If the Nifty returned 13.2% over those years, you have a 2.8% annual drag to investigate
• Currency-adjusted comparison: Your AED savings account at 4% sounds safe. But if the INR depreciated 3% annually against AED during that period, your real INR purchasing power grew only ~7%. Compare this against 12% India equity CAGR to see what currency risk actually cost you
• Setting realistic return expectations: Many NRIs target 18–20% annual returns based on recent bull runs. Historical CAGR data shows 12–14% is the realistic long-run equity return in India; building a plan on 18% creates a retirement gap

The CAGR formula provides the smoothed annual rate of return:

Formula:

CAGR = (Final Value / Initial Value)^(1/n) - 1

Where:

• Final Value = Ending value of the investment
• Initial Value = Beginning value of the investment
• n = Number of years

Example:

You invested ₹1,00,000 five years ago and it's now worth ₹2,00,000.

CAGR = (2,00,000 / 1,00,000)^(1/5) - 1

CAGR = (2)^0.2 - 1

CAGR = 1.1487 - 1

CAGR = 14.87%

This means your investment grew at an average rate of 14.87% per year, compounded annually.

The Rule of 72 is a quick mental math shortcut to estimate how long it takes for an investment to double at a given CAGR.

Formula:

Years to Double = 72 / CAGR%

Examples:

• At 6% CAGR: 72/6 = 12 years to double
• At 12% CAGR: 72/12 = 6 years to double
• At 15% CAGR: 72/15 = 4.8 years to double
• At 18% CAGR: 72/18 = 4 years to double

This rule helps you quickly assess investment potential and set realistic expectations for wealth creation.

CAGR and simple average returns can give very different numbers. Here's why CAGR is more reliable:

Simple Average Example:

Year 1: +50% (₹100 → ₹150)

Year 2: -33% (₹150 → ₹100)

Simple Average: (50% - 33%) / 2 = 8.5%

But you ended up with the same ₹100 you started with!

CAGR for same example:

CAGR = (100/100)^(1/2) - 1 = 0%

The CAGR correctly shows 0% growth because your money didn't actually grow.

Key Differences:

• CAGR accounts for compounding and volatility
• Simple average ignores the sequence of returns
• CAGR represents actual realized returns
• Simple average can be misleading, especially with volatile investments

Understanding what different CAGR values mean for your investments:

Conservative (5-8% CAGR):

Typical of fixed deposits, bonds, and conservative debt funds. Suitable for capital preservation.

Moderate (8-12% CAGR):

Expected from balanced funds and blue-chip stocks over long periods. Good for steady wealth building.

Aggressive (12-18% CAGR):

Achievable through equity mutual funds and quality stocks over 5+ year periods. Suitable for long-term growth.

High Growth (18%+ CAGR):

Small-cap stocks, emerging markets, or concentrated bets. Higher risk, higher potential reward.

Benchmark Comparison:

• Nifty 50 historical CAGR: ~12-14% (15-20 years)
• S&P 500 historical CAGR: ~10-11% (long-term)
• Bank FD rates: ~6-7%

While CAGR is powerful, understand its limitations:

1. Ignores Volatility:

CAGR shows smooth growth but doesn't reflect the ups and downs along the way. Two investments with the same CAGR can have very different risk profiles.

2. Past Performance Caveat:

Historical CAGR doesn't guarantee future returns. Market conditions, economic factors, and investment characteristics change over time.

3. Doesn't Account for Cash Flows:

CAGR assumes a single investment at the start. For SIPs or investments with multiple cash flows, use XIRR instead.

4. Time Period Sensitivity:

CAGR can vary significantly based on chosen start and end dates. Cherry-picking periods can misrepresent performance.

5. Inflation Impact:

CAGR shows nominal returns. For real purchasing power growth, subtract inflation from CAGR.