CAGR Calculator 2024
Calculate Compound Annual Growth Rate for Investments, Mutual Funds & Stocks
Starting value of investment
Ending value of investment
Total duration in years
Real-world CAGR Examples
Example 1
10%Initial: ₹1,00,000
Final: ₹2,59,374
Period: 10 years
Example 2
21.9%Initial: ₹50,000
Final: ₹1,34,392
Period: 5 years
Example 3
12%Initial: ₹10,00,000
Final: ₹21,43,589
Period: 8 years
Example 4
15%Initial: ₹10,000
Final: ₹67,275
Period: 15 years
CAGR vs Other Returns
| Investment Type | Average CAGR | Risk Level | Suitable For |
|---|---|---|---|
| Equity Mutual Funds | 12-15% | High | Long-term growth |
| Fixed Deposits | 6-8% | Low | Capital preservation |
| Real Estate | 8-12% | Medium | Inflation hedge |
| Gold | 8-10% | Low-Medium | Portfolio diversification |
| PPF | 7.1% | Nil | Tax saving |
📊 Why CAGR Matters?
Smooths Returns
CAGR provides a smoothed annual rate, ignoring volatility
Comparison Tool
Compare different investments with varying time periods
Future Planning
Helps estimate future value of current investments
Performance Measure
Standard metric for evaluating investment performance
Note: CAGR assumes compound growth and doesn't reflect investment risk or volatility.
📑 Quick Navigation
📈 What is CAGR (Compound Annual Growth Rate)?
CAGR is the mean annual growth rate of an investment over a specified time period longer than one year. It represents one of the most accurate ways to calculate returns for investments that can rise or fall in value over time.
🎯 Simple Example
You invest ₹1,00,000 in a mutual fund. After 5 years, it becomes ₹2,00,000.
Total Return: 100% (doubled)
Average Annual Return: 20% (100% ÷ 5)
CAGR: 14.87% (actual compounded growth)
Why? Because compounding means growth builds on previous growth.
📊 Key Points About CAGR:
- Geometric Mean: Accounts for compounding effect
- Smoothing: Ignores yearly volatility
- Comparison Tool: Compare different investments
- Long-term Focus: Best for periods over 3 years
- Reinvestment Assumption: Assumes returns are reinvested
🧮 CAGR Formula Explained
CAGR = [(Ending Value / Beginning Value)^(1 / Years) - 1] × 100
📝 Step-by-Step Example
Investment: ₹50,000
Final Value: ₹1,20,000
Period: 4 years
Step 1: 1,20,000/50,000 = 2.4
Step 2: 2.4^(1/4) = 2.4^0.25 = 1.244
Step 3: 1.244 - 1 = 0.244
Step 4: 0.244 × 100 = 24.4% CAGR
🔄 Reverse CAGR
Find future value from CAGR:
FV = PV × (1 + CAGR%)^Years
Example: ₹1,00,000 at 15% for 5 years
FV = 1,00,000 × (1.15)^5
FV = 1,00,000 × 2.011
Future Value = ₹2,01,136
⏱️ Time Period Formula
Find years needed:
Years = log(FV/PV) / log(1 + CAGR%)
Example: Double money at 12%
Years = log(2) / log(1.12)
Years = 0.3010 / 0.0492
≈ 6.1 years (Rule of 72)
⚖️ CAGR vs Average Annual Return
Consider an investment with volatile returns:
| Year | Return | Investment Value |
|---|---|---|
| Start | - | ₹1,00,000 |
| Year 1 | +50% | ₹1,50,000 |
| Year 2 | -20% | ₹1,20,000 |
| Year 3 | +30% | ₹1,56,000 |
Average Return: (50% - 20% + 30%) ÷ 3 = 20%
Total Growth: 56% over 3 years
Problem: 20% average suggests ₹1,00,000 should become ₹1,72,800, but actual is ₹1,56,000
CAGR Calculation:
CAGR = [(156000/100000)^(1/3) - 1] × 100
CAGR = (1.56^0.333 - 1) × 100
CAGR = 16% (accurate return)
₹1,00,000 × (1.16)^3 = ₹1,56,000 ✓
💡 Real Life CAGR Examples
📊 Mutual Funds
Fund Name: Large Cap Fund
Investment: ₹2,00,000 in 2014
Current Value: ₹6,50,000 in 2024
Period: 10 years
CAGR: [(650000/200000)^(1/10) - 1] × 100
= 12.5%
🏠 Real Estate
Property: Flat in Mumbai
Purchase Price: ₹50,00,000 in 2010
Current Value: ₹1,50,00,000 in 2024
Period: 14 years
CAGR: [(15000000/5000000)^(1/14) - 1] × 100
= 8.2%
📈 Stock Market
Stock: Reliance Industries
Price in 2000: ₹150
Price in 2024: ₹2,850
Period: 24 years
CAGR: [(2850/150)^(1/24) - 1] × 100
= 13.8%
💰 Fixed Deposit
Deposit: ₹5,00,000
Maturity: ₹8,00,000
Period: 5 years
CAGR: [(800000/500000)^(1/5) - 1] × 100
= 9.86%
🏦 PPF Account
Balance in 2010: ₹2,00,000
Balance in 2024: ₹5,50,000
Period: 14 years
CAGR: [(550000/200000)^(1/14) - 1] × 100
= 7.4%
🪙 Gold Investment
Price in 2000: ₹4,400/10g
Price in 2024: ₹62,000/10g
Period: 24 years
CAGR: [(62000/4400)^(1/24) - 1] × 100
= 11.8%
📊 Expected CAGR by Investment Type
| Asset Class | Typical CAGR Range | Risk Level | Best For |
|---|---|---|---|
| Equity Mutual Funds (Large Cap) | 12-15% | Moderate-High | Long-term wealth creation (10+ years) |
| Equity Mutual Funds (Mid/Small Cap) | 15-18% | High | Aggressive growth (15+ years) |
| Index Funds/ETFs (Sensex/Nifty) | 12-14% | Moderate | Passive investing, low cost |
| Fixed Deposits | 6-8% | Very Low | Capital preservation, emergency funds |
| PPF/EPF | 7-8% | Very Low | Tax-free retirement savings |
| Real Estate | 8-12% | Moderate | Diversification, rental income |
| Gold | 8-10% | Moderate | Hedge against inflation |
| Debt Mutual Funds | 7-9% | Low | Stable returns, short-medium term |
| Corporate Bonds | 8-10% | Low-Moderate | Regular income |
📈 Historical CAGR of Indian Stock Market Indices
| Period | Sensex CAGR | Nifty 50 CAGR | Midcap 100 CAGR |
|---|---|---|---|
| Last 5 Years (2019-2024) | 14.2% | 13.8% | 16.5% |
| Last 10 Years (2014-2024) | 13.5% | 13.2% | 15.8% |
| Last 15 Years (2009-2024) | 12.8% | 12.5% | 14.2% |
| Last 20 Years (2004-2024) | 14.5% | 14.1% | 16.8% |
| Last 25 Years (1999-2024) | 13.2% | 12.9% | 15.1% |
| Since Inception | 15.8% (1979) | 14.2% (1995) | 16.4% (2003) |
*Past performance doesn't guarantee future returns. These are approximate values for illustration.
🔄 CAGR vs XIRR vs IRR - What's the Difference?
📊 CAGR
Use when: Single investment, no cash flows
Example: Lump sum investment in FD or mutual fund
Formula: Simple geometric mean
📅 XIRR
Use when: Multiple cash flows at different times
Example: SIP in mutual funds, irregular investments
Formula: Complex, accounts for timing
💼 IRR
Use when: Regular periodic cash flows
Example: Business projects, regular investments
Formula: Assumes equal periods
Example: SIP of ₹10,000 monthly for 3 years, final value ₹4,50,000
- CAGR (incorrect): Would treat as lump sum of ₹3,60,000 - wrong!
- XIRR (correct): Accounts for each monthly investment - accurate = 15.2%
For SIP investments, always use XIRR, not CAGR!
🎯 Using CAGR for Smart Investment Decisions
✅ Compare Different Investments
Compare across different time periods:
- Fund A: 5 years, 18% CAGR
- Fund B: 3 years, 15% CAGR
- Fund C: 10 years, 14% CAGR
Longer track record with consistent CAGR is better.
📊 Set Realistic Expectations
Use historical CAGRs to plan:
- Retirement goal: ₹5 crore in 20 years
- Need 14% CAGR on ₹50 lakhs
- Choose equity mutual funds accordingly
⚠️ Identify Red Flags
- Too high CAGR (30%+) may indicate risk
- Inconsistent CAGRs show volatility
- Compare with benchmark CAGR
🔄 Portfolio Review
- Calculate portfolio CAGR annually
- Compare with target returns
- Rebalance if needed
📋 Advantages & Limitations of CAGR
✅ Advantages
- Easy to understand: Simple percentage format
- Comparable: Compare different investments
- Accounts for compounding: Accurate for long-term
- Standard metric: Used across finance industry
- Future planning: Project investment growth
- Performance measurement: Track fund managers
❌ Limitations
- Ignores volatility: Smooths out ups and downs
- Assumes reinvestment: May not be practical
- No risk measure: High CAGR ≠ low risk
- Cash flows ignored: Not for SIP/inconsistent investments
- Past vs future: Historical CAGR doesn't guarantee future
- Timing ignored: Doesn't show when returns occurred
🔢 Understanding CAGR Mathematics
Mathematical Derivation:
Starting with compound interest formula:
FV = PV × (1 + r)^n
Where r is CAGR (in decimal), n is years
Rearranging to solve for r:
(1 + r)^n = FV/PV
1 + r = (FV/PV)^(1/n)
r = (FV/PV)^(1/n) - 1
Multiply by 100 for percentage:
CAGR% = [(FV/PV)^(1/n) - 1] × 100
Example using logarithms: For ₹1,00,000 to ₹2,00,000 in 5 years:
ln(2) = 0.693, ln(1+r) = 0.693/5 = 0.1386
1+r = e^0.1386 = 1.1487, r = 14.87%
❓ Frequently Asked Questions about CAGR
- Large Cap Funds: 12-15% is good
- Mid Cap Funds: 15-18% is good
- Small Cap Funds: 18-22% is good (higher risk)
- Flexi Cap Funds: 14-17% is good
- ELSS Tax Saver: 12-16% with tax benefits
Example: 15% CAGR for 5 years
Absolute Return = [(1.15)^5 - 1] × 100
Absolute Return = [2.011 - 1] × 100 = 101.1%
Your investment more than doubles in 5 years at 15% CAGR.
- 2000-2010: 18% CAGR (bull run)
- 2010-2020: 6% CAGR (consolidation)
- 2020-2024: 12% CAGR (recent surge)
- Overall 20-year CAGR (2004-2024): ~11.5%
- Formula method: =(B1/A1)^(1/5)-1 where A1=start value, B1=end value, 5=years
- RATE function: =RATE(5,0,-A1,B1) - works for lump sum
- POWER function: =POWER(B1/A1,1/5)-1
- Not sustainable long-term
- Indicative of very high risk
- Often seen in penny stocks, crypto, or new businesses
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⚠️ Important Disclaimer
This CAGR calculator provides estimated figures for informational purposes only. Past performance doesn't guarantee future returns. Investment involves risks - equity investments may lose value. CAGR assumes reinvestment of returns which may not be practical. This is not investment advice. Please consult with a SEBI-registered financial advisor before making investment decisions. HiFiToolkit is not responsible for any financial decisions made based on these calculations.
Last Updated: March 2024 | Calculations based on standard CAGR formula |Privacy Policy |Terms of Use
