Annual Percentage Yield Calculator

✖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]			+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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Formula

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Annual Percentage Yield

Formula

`"APY" = (1+("r"/"n"))^"n"-1`

Example

`"56.66504"=(1+("5"/"10"))^"10"-1`

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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))^n-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))^n-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 00.020 seconds)

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< 23 Financial Accounting Calculators

DuPont Analysis

Go Return on Equity = (Net Income/Revenue)*(Revenue/Average Total Assets)*(Average Total Assets/Average Total Equity)

Internal Rate of Return

Go Net Present Value = sum(x,0,Number of Periods,((Cashflow at End Period/(1+Internal Rate of Return)^x)))-Initial Investment

Net Operating Cycle

Go Net Operating Cycle = ((365/Purchases)*Average Inventory)+((365/Net Receivables)*Average Accounts Receivables)

Discount Lost

Go Discount Lost = (Discount Percentage/(100-Discount Percentage))*(365/(Final Payment Date-Last Discount Date))

Annual Equivalent Cost

Go Annual Equivalent Cost = (Asset Price*Discount Rate)/(1-(1+Discount Rate)^-Number of Periods)

Net Present Value

Go Net Present Value = sum(x,1,Time Period,(Cash Flow/(1+Internal Rate of Return)^x))

Annual Percentage Yield

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

Effective Yield

Go Effective Yield = 1+(Nominal Rate/Number of Payments Per Year)^(Number of Payments Per Year)-1

Depletion Charge per Unit

Go Depletion Charge per Unit = (Original Cost-Residual Value)/Total Number of Units Depletion

Value of Stock

Go Value of Stock = Expected Dividend Per Share/(Cost of Capital Equity-Dividend Growth Rate)

Shareholders' Equity given Share Capital, Retained Earnings and Treasury Shares

Go Total Shareholders' Equity = Share Capital+Retained Earnings-Treasury Shares

Operating Cash Flow

Go Operating Cash Flow = Earnings Before Interest and Taxes+Depreciation-Taxes

EBITDA

Go EBITDA = Earnings Before Interest and Taxes+Depreciation+Amortization

Discount Percentage

Go Discount Percentage = ((List Price-Price Paid)/Price Paid)*100

Residual Value

Go Residual Value = (Cost of fixed asset-Scrap Rate)/Lifespan

Long term Debt to Equity ratio

Go Long Term Debt to Equity Ratio = Long Term Debt/Shareholders Fund

EBIT

Go Earnings Before Interest and Taxes = Revenue-Operating Expense

Depletion Expense

Go Depletion Expense = Depletion Charge per Unit*Units Consumed

Shareholders' Equity given Total Assets and Liabilities

Go Total Shareholders' Equity = Total Assets-Total Liabilities

Discount Factor

Go Discount Factor = 1/(1*(1+Discount Rate)^Number of Periods)

Discount given Discount Rate and List Price

Go Discount = Discount Rate*List Price

Discount given List Price and Price Paid

Go Discount = List Price-Price Paid

List Price

Go List Price = Price Paid+Discount

Annual Percentage Yield Formula

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