 # 5.67 % compounded Quarterly

## Enter nominal interest rate

What is the effective annual yield rate of
5.67% compounded quarterly?

## Convert to a quarterly basis

There are 4 quarters in a year
 Quarterly Interest Rate  = 0.0567 4

Quarterly Interest Rate = 0.014175

## Set up quarterly compounding

From above, we have n = 4
Yield Rate = (1 + quarterly rate)n - 1
Yield Rate = (1 + 0.014175)4 - 1
Yield Rate = 1.0141754 - 1
Yield Rate = 1.0579170168896 - 1
Yield Rate = 0.057917016889554
Yield Rate Expressed as a percentage = 5.79%

Yield Rate = 0.057917016889554
Yield Rate Expressed as a percentage = 5.79%

### How does the Effective Annual Yield Rate Calculator work?

Figures out the effective annual yield rate of interest entered by compounding daily, weekly, semi-monthly, monthly, quarterly, semi-annually, and continuously.
This calculator has 1 input.

### What 3 formulas are used for the Effective Annual Yield Rate Calculator?

1. Effective time = Interest/Number of Compounding Periods
2. Decimal Rate = (1 + effective time)n - 1
3. Percentage Rate = 100% * Decimal Rate

For more math formulas, check out our Formula Dossier

### What 4 concepts are covered in the Effective Annual Yield Rate Calculator?

compound interest
the interest you earn on principal and interest
A = (1 + r/n)nt
effective annual yield rate
Yield rate taking compounding periods into effect
interest
payment from a borrower or deposit-taking financial institution to a lender or depositor of an amount above repayment of the principal sum, at a particular rate
yield
How much an investment returns in terms of interest rate