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Annual Percentage Yield Calculator

APY Formula:

\[ APY = (1 + \frac{r}{n})^n - 1 \]

%
per year

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1. What Is Annual Percentage Yield?

Annual Percentage Yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest. Unlike simple interest, APY considers how often interest is applied to the balance, which can significantly impact the total return.

2. How Does The Calculator Work?

The calculator uses the APY formula:

\[ APY = (1 + \frac{r}{n})^n - 1 \]

Where:

Explanation: The formula calculates the effective annual rate of return by accounting for how many times interest is compounded within a year.

3. Importance Of APY Calculation

Details: APY provides a standardized way to compare different investment or savings options. It helps investors understand the true return on their money, especially when comparing accounts with different compounding frequencies.

4. Using The Calculator

Tips: Enter the annual interest rate as a percentage (e.g., 5 for 5%) and the number of compounding periods per year (e.g., 12 for monthly compounding). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between APR and APY?
A: APR (Annual Percentage Rate) doesn't account for compounding, while APY does. APY gives a more accurate picture of the actual return on investment.

Q2: How does compounding frequency affect APY?
A: The more frequently interest is compounded, the higher the APY will be, even with the same nominal interest rate.

Q3: Is APY the same as effective annual rate?
A: Yes, APY and effective annual rate (EAR) are essentially the same concept, both representing the true annual return including compounding effects.

Q4: Can APY be negative?
A: While unusual, APY can be negative if the investment loses value over the year, representing an overall loss rather than a gain.

Q5: How is APY used in banking?
A: Banks and financial institutions use APY to advertise savings accounts, CDs, and other investment products to show customers the true return they can expect.

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