Enter the initial investment, the CAGR percentage, and the number of years into the calculator to determine the final accumulated value of an investment.
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CAGR End Value Formula
The following equation is used to calculate the CAGR End Value.
EV = P (1 + r) ^ t
- Where EV is the end value ($)
- P is the principal (initial investment) ($)
- r is the CAGR (in decimal form)
- t is the time in years
To calculate the end value, multiply the initial investment by (1 + CAGR) raised to the power of the number of years.
What is a CAGR End Value?
Definition:
A CAGR End Value is the amount of money you have at the end of an investment period after applying a compound annual growth rate (CAGR) to the initial principal. It represents how much the investment has grown over a set timeframe, considering the effect of compounding.
How to Calculate a CAGR End Value?
Example Problem:
The following example outlines the steps and information needed to calculate the CAGR End Value.
First, determine the initial investment (P). In this example, the initial investment is $10,000.
Next, determine the CAGR (r). Let’s assume the annual growth rate is 8%, or 0.08 in decimal form.
Next, determine the investment period (t). Assume the investment is held for 5 years.
Finally, calculate the end value using the formula above:
EV = P (1 + r)^t
EV = $10,000 (1 + 0.08)^5
EV = $10,000 (1.08)^5 ≈ $14,693.28
FAQ
Why use CAGR instead of a simple average growth rate?
CAGR provides a more accurate measure of an investment’s return because it takes into account the compounding effect over multiple periods, whereas a simple average growth rate might not reflect the true growth if returns vary year to year.
Can the CAGR End Value be negative?
Yes, if an investment experiences an overall negative growth over time, the CAGR can be negative, which would mean a reduction in value when compounded over multiple periods.
How does reinvesting affect the CAGR End Value?
Reinvesting earnings (such as dividends) typically increases the effective growth rate by adding more principal to be compounded. This is one reason why the CAGR formula highlights compounding; every reinvested addition can lead to a higher final amount.