Calculate the compound annual growth rate of a lump-sum investment from its beginning value, ending value, and holding period. Also see profit and absolute return.
CAGR converts point-to-point growth into a constant annual compound rate, making investments or business values with different holding periods easier to compare. It does not show volatility or cash flows between the start and end dates.
Calculate Compound Annual Growth Rate (CAGR), absolute returns, and profit from your investment.
CAGR assumes a steady compound path between the entered beginning and ending values. It is not an average of yearly returns and does not reveal drawdowns, fees, taxes, inflation, or intermediate deposits and withdrawals.
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CAGR = ((Ending Value ÷ Beginning Value)^(1 ÷ Years) − 1) × 100
Compound Annual Growth Rate (CAGR) represents the average annual growth rate of an investment over a specific period, assuming profits are reinvested each year.
Input: Beginning Value: ₹100,000, Ending Value: ₹200,000, Years: 5
Output: CAGR = 14.87%, Profit = ₹100,000, Absolute Return = 100%
CAGR, or Compound Annual Growth Rate, measures the specific geometric progression rate that provides a constant smoothed annualized return over a given multi-year investment horizon, operating under the explicit mathematical assumption that all interim profits, dividends, and capital distributions are continuously reinvested back into the underlying asset. Unlike a standard mathematical average or simple return calculations, CAGR adjusts for the real-world compounding of capital. This makes it an invaluable benchmarking index for equity markets, exchange-traded funds (ETFs), and mutual fund performance profiles. It effectively cuts through short-term market noise, allowing asset managers to evaluate exactly how hard a lump-sum deployment of capital has worked on an annualized basis across varying timelines.
The primary difference lies within how each metric accounts for time. Absolute return calculates your gross percentage gain or loss on an investment asset from start to finish, completely ignoring the duration it took to achieve that gain. For example, if an initial allocation of ₹1,00,000 grows to ₹2,00,000, the absolute return is exactly 100%. However, if that return took 2 years to materialize versus taking 10 years, the economic value of those returns is drastically different. CAGR scales that multi-year growth down into an normalized, annualized compound interest equivalent. Over 2 years, a 100% absolute return reflects an impressive 41.42% CAGR, whereas over a 10-year timeline, that same 100% absolute gain scales down to a modest 7.18% CAGR.
Yes, CAGR can easily fall into negative territory whenever the terminal ending valuation of an asset is lower than the initial beginning value. A negative CAGR demonstrates that an investor has experienced a real contraction of principal capital over time, rather than growth. For instance, if an equity portfolio falls from an initial ₹5,00,000 down to ₹3,50,000 over a rolling 4-year period, the resulting CAGR will display as a negative percentage. This negative value indicates the exact smoothed annual rate at which your capital degraded year-over-year. It is a vital tool for assessing underperforming mutual fund assets, declining corporate revenues, or secular bear market trends.
A 'good' CAGR is highly relative and must always be cross-referenced against prevailing local inflation indexes and risk-free sovereign yields. Within the Indian macroeconomic climate, low-risk Fixed Deposits (FDs) generally lock in a predictable CAGR of 6% to 8%. Therefore, to justify taking on equity risk, active retail investors typically look for a long-term CAGR benchmark of 12% to 15% from diversified equity mutual funds. High-conviction small-cap or mid-cap stock portfolios may target aggressive CAGRs exceeding 15% to 20% over a 5 to 10-year holding window. Ultimately, any investment vehicles returning a CAGR that comfortably beats headline consumer price inflation while outperforming broad market indices like the Nifty 50 can be classified as highly attractive asset allocations.
You should use CAGR exclusively for closed-ended, point-to-point financial scenarios—meaning cases where you inject a single upfront lump-sum allocation at inception (Beginning Value) and withdraw or evaluate your capital at one singular point at maturity (Ending Value) with no intermediate cash transactions. Conversely, XIRR (Extended Internal Rate of Return) must be used if your portfolio contains multiple irregular cash flows occurring at various dates over time, such as a recurring monthly Systematic Investment Plan (SIP), periodic stock additions, or irregular partial dividend cash-outs. XIRR applies a time-weighted mechanism to calculate returns based on the specific day each unit of capital was exposed to market movements.
While CAGR is a highly reliable metric for geometric performance profiling, it possesses notable analytical limitations. Crucially, CAGR assumes that an asset grew at a perfectly linear, unbroken, constant rate year-after-year. In reality, equity and commodity markets are highly volatile; a fund might skyrocket by 45% in year one, crash by 20% in year two, and sit flat in year three. CAGR completely hides this intermediate volatility and maximum drawdowns, making a highly volatile asset appear identical to an incredibly stable one if their start and end points match. Because of this, prudent analysts never evaluate CAGR in isolation. Instead, they pair it with risk-adjusted metrics like the Sharpe Ratio, standard deviation, and maximum historical drawdown data.
When evaluating the historic performance of financial instruments like equity shares, multi-cap mutual funds, or real estate assets, everyday investors often fall into the trap of using misleading metrics. Relying on simple averages or absolute percentage gains can paint an inaccurate picture of your wealth creation. To get an accurate reading, you need to look at the Compound Annual Growth Rate (CAGR).
CAGR provides a mathematically smoothed representation of an asset's annualized growth pathway over a defined multi-year timeline. It strips away the unpredictable spikes and drops of volatile markets, showing you the steady annual return that would have been required to take your initial investment from its starting value to its final maturity amount.
To build an effective portfolio, it is essential to understand the difference between absolute returns and compound annualized returns. While absolute returns highlight the raw, total percentage shift from start to finish, CAGR introduces the critical element of time. The table below outlines how these two metrics function across different market scenarios:
| Analytical Metric | Mathematical Basis | Accounts for Time? | Primary Strategic Use Case | Inherent Analytical Flaw |
|---|---|---|---|---|
| Absolute Return | ((Ending Value − Beginning Value) ÷ Beginning Value) × 100 | No | Evaluating short-term tactical trades under 12 months. | Distorts performance on long-term assets by ignoring duration. |
| CAGR (Annualized) | ((Ending Value ÷ Beginning Value)^(1 ÷ Years) − 1) × 100 | Yes | Comparing asset performance across different time horizons. | Hides intermediate volatility, drawdowns, and market risk. |
The formula for CAGR relies on geometric progression rather than standard linear arithmetic averages. This design allows it to factor in the compounding effect—the process of earning returns on top of previous returns. The formula is structured as follows:
CAGR = ((Ending Value ÷ Beginning Value)^(1 ÷ Years) − 1) × 100
Where:
To see the power of compounding in action, look at how an initial lump-sum investment of ₹1,00,000 grows over time at varying CAGR tiers. This matrix demonstrates how small differences in annualized growth can significantly impact your total wealth accumulation:
| Investment Duration | Valuation at 8% CAGR (Conservative) | Valuation at 12% CAGR (Moderate Equity) | Valuation at 15% CAGR (Aggressive Growth) | Valuation at 18% CAGR (High Alpha) |
|---|---|---|---|---|
| 3 Years | ₹1,25,971 | ₹1,40,493 | ₹1,52,088 | ₹1,64,303 |
| 5 Years | ₹1,46,933 | ₹1,76,234 | ₹2,01,136 | ₹2,28,776 |
| 7 Years | ₹1,71,382 | ₹2,21,068 | ₹2,66,002 | ₹3,18,548 |
| 10 Years | ₹2,15,892 | ₹3,10,585 | ₹4,04,556 | ₹5,23,384 |
| 15 Years | ₹3,17,217 | ₹5,47,357 | ₹8,13,706 | ₹11,97,375 |
A common mistake among retail investors is misapplying CAGR to portfolios built through recurring contributions. Selecting the wrong metric can result in a skewed understanding of your actual performance:
CAGR works best for point-to-point investments. If you invest ₹2,00,000 into a mutual fund all at once and let it grow untouched for seven years before redeeming it, CAGR will give you an accurate, reliable measurement of your annualized returns.
If you invest through a Systematic Investment Plan (SIP)—such as contributing ₹10,000 on the first day of every month—CAGR falls short. It cannot account for the fact that your first contribution was invested for a full year, while your twelfth contribution was only exposed to market movements for a single month. In this scenario, you must use XIRR (Extended Internal Rate of Return), which applies a time-weighted mechanism to track irregular cash inflows and outflows accurately.
A calculator result based on market values is a nominal CAGR. Your personal outcome can be lower after fund expenses, brokerage, taxes, property transaction costs, or other fees. Purchasing-power growth is lower again after inflation. When comparing two investments, use values measured on the same basis—both before costs or both after costs—and compare similar holding periods and risk levels.
CAGR is appropriate for one beginning value and one ending value with no intermediate cash flows. Use XIRR when money was added or withdrawn on different dates, including SIP instalments, dividends taken as cash, partial redemptions, or staggered business investment.
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Aditya Singh is a software engineer and the founder of DevCalc, based in Uttar Pradesh, India. He builds and maintains every calculator on this site using documented formulas, worked examples, and clearly stated limitations, with careful attention to accuracy. Read more about the author →
This calculator and its guidance are for general educational purposes only and do not constitute financial, investment, or tax advice. Verify figures with a qualified professional before making financial decisions.
