## Introduction

If you’re someone who’s interested in finance, you’ve probably come across the term APY. APY stands for Annual Percentage Yield and is a measure of how much interest you earn on a particular investment over a year. In this article, we will explain the formula for APY and how it works.

## What is APY?

Before we dive into the formula for APY, let’s first understand what it means. APY is a measure of the total amount of interest you earn on an investment over a year. It takes into account the interest rate as well as the frequency of compounding.

## The Formula for APY

The formula for APY is as follows: APY = (1 + r/n)^n – 1 Where: r = the annual interest rate n = the number of times the interest is compounded in a year

### Example

Let’s say you invest $1,000 in a savings account that has an annual interest rate of 5% and compounds interest monthly. Using the formula above, we can calculate the APY as follows: APY = (1 + 0.05/12)^12 – 1 APY = 0.0512 or 5.12% This means that by the end of the year, your $1,000 investment will have earned a total of $51.20 in interest.

## How Does the Formula Work?

The formula for APY takes into account the effect of compounding on your investment. Compounding refers to the process of earning interest on both the principal amount as well as the interest earned. The more frequently the interest is compounded, the higher the APY will be.

## Factors That Affect APY

There are several factors that can affect the APY of your investment, including:

### Interest Rate

The higher the interest rate, the higher the APY will be.

### Compounding Frequency

The more frequently the interest is compounded, the higher the APY will be.

### Investment Duration

The longer the investment duration, the higher the APY will be.

## Conclusion

In conclusion, the formula for APY is a simple yet powerful tool for understanding the total amount of interest you can earn on an investment over a year. By understanding the factors that affect APY, you can make informed decisions about your investments and maximize your returns.