What Is An Annualized Rate of Return?

The annualized rate of return (ARR) calculates the average yearly return of an investment over a specific period, enabling comparisons across investments and projections of future growth rates.

Oct 16, 2024 at 03:13 pm

What Is An Annualized Rate of Return?

Definition:

An annualized rate of return (ARR) is a measurement used to calculate the average return of an investment or portfolio over a specific period of time, particularly when the investment duration is less than a year. It is often used to compare returns from different investments and to project future growth rates.

Calculation:

To calculate the ARR, multiply the return by the number of times the return would have occurred in a year. Common periods used are monthly, quarterly, and semi-annually. For example, if an investment yields a 5% monthly return, its ARR would be calculated as 5% x 12 (number of months in a year) = 60%.

Assumptions:

ARR assumes that the returns are reinvested at the same rate for the entire year, which is not always the case in practice. It also assumes a constant growth rate, which may not be realistic over long holding periods.

Applications:

ARR is commonly used in the following applications:

Comparing performance of different investments
Forecasting growth rates of stock or mutual fund investments
Estimating potential earnings from bonds or annuities

Limitations:

ARR has some limitations that should be considered:

It does not reflect the variability of returns over time.
It does not account for inflation or reinvestment risk.
It is only an approximate measure of future returns.

Example:

Suppose you invest $10,000 in a mutual fund that earns a 4% quarterly return. The ARR for this investment would be:

ARR = 4% x 4 (number of quarters in a year) = 16%

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