Your Progress 0%

CAGR Guide - Compound Annual Growth Rate

📈 What is CAGR?

CAGR stands for Compound Annual Growth Rate. It's the average yearly growth rate of an investment or business metric over a specified period, assuming the growth happens at a steady rate with compounding.

Advertise on this page

                Key Point: CAGR "smooths out" volatile year-to-year changes to give you one consistent number representing average annual growth. It's like asking: "What steady rate of growth would get me from Point A to Point B over this time period?"
            

Why CAGR Matters

CAGR is one of the most useful metrics in finance because it helps you:

Compare investments: Fairly compare different investments over different time periods
Measure performance: Track how well your investments or business are actually growing
Set realistic goals: Determine what growth rate you need to hit your targets
Eliminate noise: Ignore year-to-year volatility and see the true trend
Forecast future: Project future values based on historical growth

The CAGR Formula

CAGR = (Ending Value ÷ Beginning Value)^(1 ÷ Number of Years) - 1

Let's break this down into simpler steps:

Divide the ending value by the beginning value
Raise the result to the power of (1 ÷ number of years)
Subtract 1 from the result
Multiply by 100 to convert to a percentage

Simple Example

Let's say you invested $10,000 five years ago, and it's now worth $16,000. What's the CAGR?

Step 1: Divide ending by beginning

$16,000 ÷ $10,000 = 1.6

Step 2: Raise to power of (1 ÷ years)

1.6 ^ (1 ÷ 5) = 1.6 ^ 0.2 = 1.0986

Step 3: Subtract 1

1.0986 - 1 = 0.0986

Step 4: Convert to percentage

0.0986 × 100 = 9.86% CAGR

What this means: Your investment grew at an average rate of 9.86% per year for 5 years. Even though the actual year-to-year growth may have varied wildly, the steady compounded rate that got you from $10,000 to $16,000 was 9.86%.

💡 CAGR vs Simple Average

If an investment grows 50% one year and loses 20% the next, the simple average is 15% growth. But CAGR accounts for compounding and would show a more accurate (and lower) figure. This is why CAGR is more reliable for measuring true growth over time.

When to Use CAGR

Perfect For:

Measuring investment returns over multiple years
Comparing mutual funds or ETF performance
Tracking business revenue or profit growth
Analysing property value appreciation
Evaluating company sales growth
Setting financial targets

Not Ideal For:

Investments with regular contributions (use XIRR instead)
Very short time periods (less than 1 year)
Highly volatile investments where you need to see the volatility
Comparing investments with different risk profiles

⚠️ The "Smoothing" Effect

CAGR smooths out volatility, which is both its strength and weakness. It shows you average growth but hides the ups and downs along the way. An investment with a 10% CAGR might have had years of -30%, +50%, -10%, and +40%. CAGR tells you the destination, not the journey.

Real-World Applications

Use Case	Example	CAGR Purpose
Stock Portfolio	$50k → $85k over 7 years	Measure investment performance
Business Revenue	$2M → $5M over 5 years	Track company growth rate
Property Value	$600k → $850k over 10 years	Calculate appreciation rate
KiwiSaver Balance	$30k → $95k over 15 years	Evaluate fund performance
Customer Base	500 → 2,000 customers over 3 years	Measure business growth

🔢 Calculating and Interpreting CAGR

Let's work through detailed calculations and learn how to interpret the results.

Step-by-Step Calculation

Example 1: Stock Investment

You bought shares for $25,000 three years ago. They're now worth $34,500. What's your CAGR?

Given:

Beginning Value: $25,000

Ending Value: $34,500

Number of Years: 3

Formula:

CAGR = ($34,500 ÷ $25,000)^(1÷3) - 1

Step 1:

$34,500 ÷ $25,000 = 1.38

Step 2:

1.38 ^ (1÷3) = 1.38 ^ 0.333 = 1.1135

Step 3:

1.1135 - 1 = 0.1135

CAGR = 11.35% per year

Interpretation: Your investment grew at an average annual rate of 11.35%. This means if it had grown at exactly 11.35% each year, you'd end up at the same place.

Example 2: Business Revenue Growth

A company had $500,000 revenue in 2019 and $1,200,000 in 2024. What's the revenue CAGR?

Given:

Beginning Value (2019): $500,000

Ending Value (2024): $1,200,000

Number of Years: 5

Calculation:

CAGR = ($1,200,000 ÷ $500,000)^(1÷5) - 1

= 2.4 ^ 0.2 - 1

= 1.1914 - 1

CAGR = 19.14% per year

Interpretation: The company's revenue grew at an impressive 19.14% annually. This is strong growth that doubled revenue in 5 years!

What Different CAGR Numbers Mean

CAGR Range	Interpretation	Context
0% to 5%	Low to modest growth	Similar to inflation; barely growing in real terms
5% to 10%	Moderate growth	Typical for established businesses and conservative investments
10% to 15%	Strong growth	Good stock market returns; growing companies
15% to 25%	Excellent growth	High-performing investments; fast-growing businesses
25%+	Exceptional growth	Startups, tech companies, or outlier investments
Negative	Decline	Investment or business shrinking over time

💡 Historical Context

The NZX 50 (New Zealand stock market index) has returned approximately 8-10% CAGR over long periods historically. The S&P 500 (US stocks) has averaged around 10-11% CAGR over decades. Use these as benchmarks when evaluating your investments.

Comparing Different Investments with CAGR

CAGR's real power comes from comparing different investments, even over different time periods.

Scenario: Which Investment Performed Better?

Investment A: $10,000 → $18,000 over 3 years

CAGR = ($18,000 ÷ $10,000)^(1÷3) - 1

= 21.6% CAGR

Investment B: $10,000 → $25,000 over 6 years

CAGR = ($25,000 ÷ $10,000)^(1÷6) - 1

= 16.5% CAGR

Winner: Investment A had a higher CAGR (21.6% vs 16.5%), meaning it grew faster annually even though Investment B ended with more total dollars. The CAGR allows you to fairly compare despite different time periods.

Working Backwards: Using CAGR to Forecast

If you know the CAGR and want to project future values, you can work backwards:

Future Value = Present Value × (1 + CAGR)^Number of Years

Example: Retirement Planning

You have $50,000 in KiwiSaver. Assuming a 7% CAGR, what will it be worth in 20 years?

Future Value = $50,000 × (1 + 0.07)^20

= $50,000 × (1.07)^20

= $50,000 × 3.8697

= $193,485

Common CAGR Misconceptions

❌ Misconception 1: "My CAGR was 10% so I earned 10% every year"

Reality: CAGR is an average. You might have had years of +30%, -5%, +15%, and +8% that average out to 10% CAGR.

❌ Misconception 2: "Higher CAGR always means better investment"

Reality: Higher CAGR often comes with higher risk. A 25% CAGR crypto investment had way more volatility than a 7% CAGR index fund.

❌ Misconception 3: "CAGR accounts for the risk I took"

Reality: CAGR only measures return, not risk-adjusted return. Use Sharpe Ratio or other metrics for that.

❌ Misconception 4: "Past CAGR predicts future returns"

Reality: Historical CAGR shows what happened, not what will happen. Past performance doesn't guarantee future results.

⚠️ The Timing Trap

CAGR is sensitive to starting and ending dates. An investment measured from a market peak to another peak will show different CAGR than peak-to-trough or trough-to-peak. Always be aware of your measurement period!

🌍 Real-World CAGR Examples

Let's explore practical scenarios showing how CAGR applies to different situations.

Sarah's Share Portfolio (7 Years)

Situation: Sarah invested in New Zealand shares starting with $40,000 in 2018. It's now 2025 and her portfolio is worth $68,500.

CAGR Calculation:

Beginning Value (2018): $40,000

Ending Value (2025): $68,500

Time Period: 7 years

CAGR = ($68,500 ÷ $40,000)^(1÷7) - 1

= 1.7125 ^ 0.1429 - 1

= 1.0789 - 1

= 7.89% CAGR

Year-by-Year Reality:

Year	Value	Actual Return
2018	$40,000	-
2019	$45,200	+13.0%
2020	$42,000	-7.1% (COVID crash)
2021	$51,500	+22.6%
2022	$48,900	-5.0%
2023	$58,100	+18.8%
2024	$62,800	+8.1%
2025	$68,500	+9.1%

                    Key Insight: Sarah's actual returns varied wildly from -7.1% to +22.6%, but the CAGR of 7.89% gives her a single number to evaluate overall performance. The 7.89% beats inflation and is reasonable for NZ shares, though below the long-term historical average.
                

Tech Startup Revenue Growth

Situation: A SaaS (software) company tracks revenue growth from launch to assess performance.

Revenue by Year:

Year 1 (2021): $150,000

Year 2 (2022): $320,000

Year 3 (2023): $580,000

Year 4 (2024): $950,000

Year 5 (2025): $1,400,000

CAGR Calculation:

Beginning: $150,000

Ending: $1,400,000

Years: 4 (from 2021 to 2025)

CAGR = ($1,400,000 ÷ $150,000)^(1÷4) - 1

= 9.333 ^ 0.25 - 1

= 74.4% CAGR

Year-over-Year Growth Rates:

2021 → 2022: +113% growth
2022 → 2023: +81% growth
2023 → 2024: +64% growth
2024 → 2025: +47% growth

💡 Startup Reality

The 74.4% CAGR is exceptional but typical for successful early-stage tech companies. Notice how the year-over-year growth is slowing (113% → 47%) as the revenue base gets larger. This is called the "law of large numbers" - it's harder to double $1M than $150K.

Property Investment Comparison

Situation: Comparing returns from two different property investments purchased at different times.

Property A - Auckland House:

Purchased 2015: $650,000

Current Value 2025: $1,050,000

Time: 10 years

CAGR = ($1,050,000 ÷ $650,000)^(1÷10) - 1

= 4.93% CAGR

Property B - Wellington Apartment:

Purchased 2018: $420,000

Current Value 2025: $580,000

Time: 7 years

CAGR = ($580,000 ÷ $420,000)^(1÷7) - 1

= 4.68% CAGR

Adding Rental Income:

Don't forget: Properties also generate rental income! For true investment comparison, you'd need to include rental yield.

Property A Rental: $600/week = $31,200/year average

Property B Rental: $520/week = $27,040/year average

                    Important Note: CAGR only measures capital appreciation. Total return includes rental income too. Property A's total annual return is approximately 9.7% (4.93% CAGR + 4.8% rental yield), making it superior to Property B's 9.1% total return.
                

KiwiSaver Fund Performance

Situation: Comparing three different KiwiSaver funds over the same 8-year period.

Fund Type	2017	2025	CAGR
Conservative	$50,000	$72,500	4.79%
Balanced	$50,000	$82,100	6.41%
Growth	$50,000	$91,800	7.96%

CAGR Calculations:

Conservative Fund:

($72,500 ÷ $50,000)^(1÷8) - 1 = 4.79% CAGR

Balanced Fund:

($82,100 ÷ $50,000)^(1÷8) - 1 = 6.41% CAGR

Growth Fund:

($91,800 ÷ $50,000)^(1÷8) - 1 = 7.96% CAGR

What the Difference Means Over 30 Years:

Starting with $50,000 and no additional contributions:

Conservative (4.79%): $50,000 → $207,760
Balanced (6.41%): $50,000 → $330,580
Growth (7.96%): $50,000 → $522,490

⚠️ Risk vs Return

The Growth fund's higher CAGR came with more volatility. During the 2020 COVID crash, it likely fell 20-30% while Conservative only fell 5-10%. Higher returns require tolerance for bigger swings!

🎯 Test Your Knowledge

Complete this 10-question quiz to check your understanding of CAGR

1. What does CAGR stand for?

Current Annual Gain Rate

Compound Annual Growth Rate

Comparative Asset Growth Return

Cumulative Average Gross Return

2. An investment grows from $10,000 to $15,000 in 3 years. What is the approximate CAGR?

14.5%

16.7%

12.0%

50.0%

3. What is the main advantage of CAGR over simple average return?

It's easier to calculate

It accounts for compounding and smooths volatility

It always shows higher returns

It predicts future performance

4. If an investment has a 10% CAGR over 5 years, what does this mean?

It grew exactly 10% every year

It will continue to grow at 10% in the future

It gained exactly 50% total (10% × 5 years)

On average, it grew at a 10% compounded rate annually

5. Which situation is CAGR most useful for?

Comparing two investments over different multi-year periods

Comparing two investments over a single month

Measuring daily stock price changes

Calculating tax owed on investments

6. What is a typical CAGR for long-term stock market performance?

2-4%

15-20%

8-11%

25-30%

7. Does CAGR account for the volatility/risk of an investment?

Yes, higher CAGR means lower risk

No, it only measures return, not risk

Yes, it shows year-to-year variation

Only if the CAGR is negative

8. Can CAGR be negative?

Yes, if the investment decreased in value

No, it's always positive

Only for stocks, not for business metrics

Only if held for less than 1 year

9. You have $50,000 that needs to grow to $100,000 in 6 years. What CAGR do you need?

8.3%

10.0%

12.2%

16.7%

10. What's the main limitation of CAGR?

It's too complicated to calculate

It can't be used for business metrics

It only works for periods over 10 years

It smooths out volatility and doesn't show the bumpy journey

🧮 Try CAGR Calculator

Situations like yours. The 4 situations worked through above sit alongside 54 more about saving and investing, each with the sums shown.