CAGR (Annualized Return)
Calculate the compound annual growth rate - the smoothed annual return of an investment over time.
=(ending_value/beginning_value)^(1/years)-1 How It Works
CAGR (Compound Annual Growth Rate) calculates the constant annual return that would take your investment from its beginning value to its ending value. Unlike simple ROI, CAGR accounts for compounding and gives you a comparable annual rate.
Formula
CAGR = (Ending Value / Beginning Value)^(1/Years) - 1
In Google Sheets:
=POWER(ending/beginning, 1/years)-1
Or:
=(ending/beginning)^(1/years)-1
Example
5-Year Investment:
- Initial Investment: $10,000
- Current Value: $16,105
- Time Period: 5 years
Formula: =(16105/10000)^(1/5)-1
Result: 10% CAGR
This means your investment grew at an average of 10% per year, compounded.
Common Scenarios
Stock Portfolio Growth
$50,000 grew to $85,000 over 7 years:
=(85000/50000)^(1/7)-1
Result: 7.87% annualized return
Retirement Account
$100,000 to $450,000 over 20 years:
=(450000/100000)^(1/20)-1
Result: 7.87% CAGR
Real Estate Appreciation
Home bought for $250,000, now worth $380,000 after 10 years:
=(380000/250000)^(1/10)-1
Result: 4.28% annual appreciation
Variations
Format as Percentage
=TEXT((ending/beginning)^(1/years)-1, "0.00%")
Returns “10.00%” instead of 0.10
Using RRI Function
Google Sheets has a built-in function:
=RRI(years, beginning, ending)
Example: =RRI(5, 10000, 16105) returns 0.10 (10%)
With Monthly Data
If you have months instead of years:
=(ending/beginning)^(12/months)-1
Pro Tips
-
CAGR smooths volatility - actual year-by-year returns vary wildly
-
Compare different investments fairly regardless of time period
-
Benchmark against indexes - S&P 500 historical CAGR is ~10%
-
Doesn’t show risk - two investments can have same CAGR with very different volatility
Understanding CAGR vs. Average Return
| Year | Actual Return | Portfolio Value |
|---|---|---|
| Start | - | $10,000 |
| 1 | +20% | $12,000 |
| 2 | -10% | $10,800 |
| 3 | +15% | $12,420 |
| 4 | +5% | $13,041 |
| 5 | +12% | $14,606 |
- Simple Average: (20-10+15+5+12)/5 = 8.4%
- CAGR: (14606/10000)^(1/5)-1 = 7.87%
CAGR is lower because it accounts for the compounding effect of losses.
Benchmark Comparison
| Investment Type | Typical CAGR |
|---|---|
| S&P 500 (historical) | 10% |
| Bonds | 4-6% |
| Real Estate | 3-5% |
| Savings Account | 1-4% |
| Inflation | 2-3% |