XIRR and CAGR are two common metrics typically used in the evaluation of investment returns. They are shown in the extended internal rate of return(XIRR) and the compound annual growth rate (CAGR). As much as each is usable for an investment's return gain assessment, there are the two measure tools that serve different purposes and are applicable in different scenarios.
This blog essay reveals the differences between XIRR and CAGR, their acronyms, the step-by-step process of computing them, as well as the usage of each metrics for a well-grounded investment decision.
CAGR means Compound Annual Growth Rate and it represents the smoothed annualized return of the investment over a certain period in which it is supposed that the investment is going up at the same steady rate every year.
CAGR = (FV / PV)1/n - 1
Where,
FV = Final Value of the Investment
PV = Initial Investment (Present Value)
n = Number of years
When analyzing the long-term growth of a single investment.
If there are no intermittent cash flows (e.g., lump sum investments).
To compare different investment options with fixed growth rates.
It assumes a constant growth rate, which is rarely the case in real-world investments.
It does not account for multiple investments or withdrawals over time.
XIRR means Extended Internal Rate of Return. It’s a step up from the regular Internal Rate of Return (IRR). XIRR deals with cash flows that come in at different times and amounts.
Unlike CAGR, which assumes a steady return, XIRR looks at when you get each cash flow and how much it is.
XIRR solves for the discount rate (r) in the equation:
NPV = C / (1 + r)t
C = Cash flow at time t
r = XIRR (rate of return)
t = Time period of cash flow
Since this formula requires iterative calculations, it is best solved using Excel or financial calculators.
When investments involve multiple transactions over time (SIPs, withdrawals, dividends).
When calculating returns for mutual funds, systematic investment plans (SIPs), or real estate investments.
If cash inflows and outflows happen at irregular intervals.
It assumes that all cash flows are reinvested at the calculated rate, which may not always be realistic.
It can be difficult to interpret if there are multiple rate-of-return solutions.
XIRR | CAGR |
---|---|
It is interest earned by every cash flow invested in that period. | It is a measure of compound rate of growth. |
Calculates return of investments with multiple cash inflows and outflows. | Calculates return of investments with a fixed amount. |
Consider timing of cash flows. | Does not calculate the timing of cash flows. |
Useful for non-lump sum amounts investments like SIP. | Useful for lump sum amounts like mutual funds. |
All types of cash flows including numerous cash flows. | Long-term investments without any additional cash flows. |
Used for: Single investments with a fixed starting and ending value. Think of it like a lump-sum deposit in a fixed deposit or a one-time purchase of a stock.
Example: You invest ₹10,000 in a fixed deposit for 3 years at 6% interest.
Ending value: ₹10,000 * (1 + 0.06)^3 = ₹11,910.16
CAGR: (₹11,910.16 / ₹10,000)^(1/3) - 1 = 0.06 or 6%.
Interpretation: Your investment grew at an average annual rate of 6% over those 3 years.
Used for: : Investments with multiple cash flows, meaning you add money or withdraw money at different points in time. This is common in SIPs, real estate, or even a business where you make investments and receive profits over time.
Example: You start an SIP in a mutual fund with these contributions:
Month 1: ₹5,000
Month 3: ₹3,000
Month 6: ₹4,000
Month 9: ₹2,000
Month 12: ₹1,000
You redeem the entire investment after 12 months for ₹18,000.
You would need a financial calculator or spreadsheet software to calculate the XIRR, which would be the annualized return considering all the inflows and outflows.
CAGR is good for single investments with a clear beginning and end.
XIRR is essential for investments where you have multiple deposits or withdrawals, making it more realistic for most investment scenarios.
XIRR and CAGR are both important ways to measure investment returns, but they are different. CAGR is great for long-term steady growth. XIRR, on the other hand, shows a clearer picture when you have investments with changing cash flows.
CAGR and XIRR are both helpful, but XIRR is better for tracking multiple cash flows.
You can use a financial calculator or a spreadsheet app. Most of them have an XIRR function already built in.
IRR thinks all cash flows happen at the end of each time period. On the other hand, XIRR takes into account when those cash flows actually occur during the investment period.
It is not recommended to use CAGR for SIP investments as it doesn't account for the timing of cash flows. XIRR is a more accurate metric for SIP investments.
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