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Annual Percentage Yield Calculator

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Basics of Financial Accounting Asset Management

✖The stated annual interest rate is the return on an investment that is expressed as a per-year percentage.ⓘ Stated annual interest rate [r]			+10% -10%
✖Compounding Periods is the number of times compounding will occur during a period.ⓘ Compounding Periods [n_c]			+10% -10%

✖Annual Percentage Yield is a normalized representation of an interest rate, based on a compounding period of one year.ⓘ Annual Percentage Yield [APY]

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Annual Percentage Yield Solution

STEP 0: Pre-Calculation Summary

Formula Used

Annual Percentage Yield = (1+(Stated annual interest rate/Compounding Periods))^Compounding Periods-1
APY = (1+(r/n_c))^n_c-1
This formula uses 3 Variables

Variables Used

Annual Percentage Yield - Annual Percentage Yield is a normalized representation of an interest rate, based on a compounding period of one year.
Stated annual interest rate - The stated annual interest rate is the return on an investment that is expressed as a per-year percentage.
Compounding Periods - Compounding Periods is the number of times compounding will occur during a period.

STEP 1: Convert Input(s) to Base Unit

Stated annual interest rate: 5 --> No Conversion Required
Compounding Periods: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

APY = (1+(r/n_c))^n_c-1 --> (1+(5/10))^10-1

Evaluating ... ...

APY = 56.6650390625

STEP 3: Convert Result to Output's Unit

56.6650390625 --> No Conversion Required

FINAL ANSWER

56.6650390625 ≈ 56.66504 <-- Annual Percentage Yield

(Calculation completed in 00.004 seconds)

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Annual Percentage Yield Formula

LaTeX Go

Annual Percentage Yield = (1+(Stated annual interest rate/Compounding Periods))^Compounding Periods-1
APY = (1+(r/n_c))^n_c-1

How to Calculate Annual Percentage Yield?

Annual Percentage Yield calculator uses Annual Percentage Yield = (1+(Stated annual interest rate/Compounding Periods))^Compounding Periods-1 to calculate the Annual Percentage Yield, Annual Percentage Yield is a normalized representation of an interest rate, based on a compounding period of one year. Annual Percentage Yield is denoted by APY symbol.

How to calculate Annual Percentage Yield using this online calculator? To use this online calculator for Annual Percentage Yield, enter Stated annual interest rate (r) & Compounding Periods (n_c) and hit the calculate button. Here is how the Annual Percentage Yield calculation can be explained with given input values -> 56.66504 = (1+(5/10))^10-1.

FAQ

What is Annual Percentage Yield?

Annual Percentage Yield is a normalized representation of an interest rate, based on a compounding period of one year and is represented as APY = (1+(r/n_c))^n_c-1 or Annual Percentage Yield = (1+(Stated annual interest rate/Compounding Periods))^Compounding Periods-1. The stated annual interest rate is the return on an investment that is expressed as a per-year percentage & Compounding Periods is the number of times compounding will occur during a period.

How to calculate Annual Percentage Yield?

Annual Percentage Yield is a normalized representation of an interest rate, based on a compounding period of one year is calculated using Annual Percentage Yield = (1+(Stated annual interest rate/Compounding Periods))^Compounding Periods-1. To calculate Annual Percentage Yield, you need Stated annual interest rate (r) & Compounding Periods (n_c). With our tool, you need to enter the respective value for Stated annual interest rate & Compounding Periods and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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