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Reverse CAGR Calculator

This reverse CAGR calculator starts from a target Compound Annual Growth Rate (CAGR) to find the ending value your investment would reach, or the amount you'd need to invest today to hit a future goal. Adjust any input below and your results update instantly.

Your details

Adjust the inputs below and your results update instantly.

Solve for

Choose what you want this calculator to solve for.

e.g. "Ending value" for a reverse CAGR calculation

Beginning value (₹)*

≈ ₹5.00 L

The value of your investment at the start of the period you're measuring.

₹1K₹1Cr

e.g. ₹5,00,000 invested initially

Target CAGR (%)*

The annual growth rate you want to solve for the missing value at.

1%30%

e.g. 12% for a mostly-equity portfolio

Number of years*

How many years passed between the beginning and ending value.

140

e.g. 5 years since you invested

How these compare

vs. typical India long-term ranges

Your CAGR: 12.0%

India long-term equity avg: 10–13%

Typical

These are example numbers. Edit any input on the left to see your own.

Your investment would grow to

₹8.81 L

1.76x growth over 5 years

Total growth

₹3.81 L

Growth multiple

1.76x

Implied value path

Implied valueBeginning value

Year-by-year breakdown

This shows the smooth compounding path implied by your CAGR, not necessarily what happened in any single year.

YearImplied valueBeginning valueStatus

1₹5.60 L₹5.00 L

1.12x beginning

11% is growth

2₹6.27 L₹5.00 L

1.25x beginning

20% is growth

3₹7.02 L₹5.00 L

1.40x beginning

29% is growth

4₹7.87 L₹5.00 L

1.57x beginning

36% is growth

5₹8.81 L₹5.00 L

1.76x beginning

43% is growth

Compare against benchmarks

See how your investment stacks up against common long-term benchmarks.

Your investment

CAGR of 12.0% · 5y

₹8.81 L

Value after your period

Actual

At Nifty 50 avg (12%)

₹5.00 L · 5y · 12%

₹8.81 L

Value after your period

No change

At FD rate (7%)

₹5.00 L · 5y · 7%

₹7.01 L

Value after your period

-₹1.80 L

Worked example, using your numbers

A step-by-step walkthrough of how your inputs become your CAGR.

Step 1 · Growth multiple

₹8.81 L ÷ ₹5.00 L gives a growth multiple of

1.76x

Step 2 · Annualising

Taking the 5-year root of that multiple gives a CAGR of

12.0%

Step 3 · Doubling time

At this rate, using the Rule of 72, your money would double roughly every

6.0 years

✓

Your investment compounded at 12.0% per year, the constant rate that explains going from ₹5.00 L to ₹8.81 L over 5 years.

Personalised insights

What your numbers reveal, and what changing them would do.

Your investment grew 1.76x over 5 years

₹5.00 L became ₹8.81 L, a total gain of ₹3.81 L.

Your CAGR beats the long-term Nifty 50 average by ₹0

At a 12% long-term index average, ₹5.00 L would have become ₹8.81 L over the same 5 years.

At this rate, your money roughly doubles every 6.0 years

Using the Rule of 72, a 12.0% CAGR implies a doubling time of about 6.0 years.

Holding 5 more years at this rate reaches ₹15.53 L

Continuing at a 12.0% CAGR for 10 years instead of 5 would grow ₹5.00 L to ₹15.53 L.

How this is calculated

Every step of the math behind your result, shown in the open.

Finding your growth multiple

Ending Value = value today, Beginning Value = value at the start

Dividing your ending value by your beginning value shows how many times over your investment has grown across the whole period.

Example: ₹8.81 L ÷ ₹5.00 L → 1.76x

Annualising the growth

n = number of years

Taking the nth root of the growth multiple spreads the total growth evenly across every year, giving the constant annual rate that would produce the same result.

Example: 1.76^(1/5) − 1 → 12.0% CAGR

Estimating doubling time

CAGR = annual growth rate as a percentage

The Rule of 72 divides 72 by your CAGR to give a quick estimate of how many years it would take your investment to double at that same rate.

Example: 72 ÷ 12.0 → ~6.0 years to double

Assumptions

CAGR assumes steady, unbroken compounding between the beginning and ending value.
Only the two endpoints matter: any volatility in between is not reflected.
Figures are indicative and pre-tax, not financial advice.

Understanding CAGR

The concept, the motivation, and what to watch out for.

What is CAGR?

The CAGR full form is Compound Annual Growth Rate: the constant annual rate that would take your investment from its beginning value to its ending value, smoothed evenly across every year in between.

Real investments rarely grow at a perfectly steady rate. CAGR is a single average rate that explains the total growth as if they had, not necessarily what happened in any individual year.

CAGR smooths out the bumps

Two investments can have the same CAGR while one had a much bumpier ride to get there. CAGR only looks at the start and end, not the path in between.

It's not the same as average return

A simple average of yearly returns can overstate performance when returns are volatile. CAGR accounts for compounding, so it's usually the more honest number.

How this CAGR calculator helps

Enter your beginning value, ending value, and the years between them. Your CAGR updates instantly, with the full formula and implied growth path shown alongside it.

Did you know?

A few facts behind CAGR and compounding.

The Rule of 72

Divide 72 by your CAGR to estimate doubling time. At a 12% CAGR, an investment roughly doubles every 6 years.

XIRR

CAGR assumes a single lump sum

CAGR works best for a single beginning and ending value. For cash flows at multiple dates (like SIPs), XIRR is the more accurate measure.

Full form

The CAGR full form gives away how it works

Compound Annual Growth Rate spells out the method in its own name: compounding, applied annually, to describe growth as a single rate.

Point-to-point sensitivity

Because CAGR only uses two data points, choosing a slightly different start or end date can noticeably change the result, even for the same investment.

Avg

Not the same as a simple average

Averaging yearly percentage returns directly overstates real growth when returns are volatile. CAGR correctly accounts for compounding instead.

Frequently asked questions

Straight answers to the questions we hear most about this reverse CAGR calculator.

What is CAGR?

CAGR (Compound Annual Growth Rate) is the constant yearly rate that would take an investment from its beginning value to its ending value over a given number of years, assuming steady compounding.

What is the CAGR full form?

The CAGR full form is Compound Annual Growth Rate: the single constant rate that, applied every year, would take an investment's beginning value to its ending value.

Can I use this as a reverse CAGR calculator?

Yes. Switch "Solve for" above the inputs to "Ending value" to project what a starting amount grows to at a target CAGR, or to "Beginning value" to find how much you'd need to invest today to reach a future goal at that rate — both are the same compounding formula rearranged. Our dedicated Reverse CAGR Calculator opens directly into this mode if that's what you're after.

How is CAGR different from absolute return?

Absolute return is simply the total percentage gain over the whole period, with no regard to how long it took. CAGR annualises that gain, making returns over different time periods comparable.

Can CAGR be negative?

Yes: if your ending value is lower than your beginning value, CAGR will be negative, reflecting an average annual loss over the period.

Does CAGR account for volatility?

No. CAGR only looks at the beginning and ending values. Two investments with identical CAGRs can have had very different, more or less volatile, paths to get there.

What's a good CAGR for equity investments in India?

Indian equity indices have historically delivered a CAGR in the range of 10-13% over long periods, though this varies significantly depending on the exact start and end dates chosen.

How do I calculate the CAGR formula in Excel?

Excel has three ways to get the same CAGR formula in Excel: the manual =(End/Begin)^(1/Years)-1 formula, the RRI function, or the RATE function — see our dedicated guide for exactly how each one is set up.

Is this financial advice?

No. This tool provides indicative estimates based on your assumptions. Consult a certified financial advisor before making investment decisions.