# Effective Annual Yield Calculator

URL: https://speedycalculator.com/calculators/finance/effective-annual-yield/
Last updated: 2026-10-25

> The effective annual yield calculator converts a bond's coupon rate (or a stated yield) paid several times a year into the effective annual yield, which includes the compounding of reinvested coupons.

## Inputs

- Face value
- Annual coupon rate (%)
- Coupon frequency

## Results

- Annual coupon payment
- Coupon per period
- Effective annual yield

## Formula

```
Effective annual yield = (1 + coupon rate ÷ n)^n − 1
Coupon per period = face value × coupon rate ÷ n
```

## Explanation

A bond paying 6% in semi-annual coupons actually yields 6.09% a year if each coupon is reinvested at the same rate. The effective yield lets you compare bonds with different payment frequencies.

### How to use the Effective Annual Yield Calculator

- **Face value**
- **Annual coupon rate**
- **Coupon frequency**

Results update as you type, and every field accepts the units shown in its menu.

### How it works

Enter the face value, the annual coupon rate (or annual coupon amount) and the coupon frequency.

### Tips

- Use the nominal annual rate and pick the compounding frequency your bank or broker states.
- Small differences in return or fees compound into large differences over decades.
- Run the calculation with a cautious, a central and an optimistic return to see the range of outcomes.
- Past returns do not guarantee future returns – nothing here is investment advice.

### Common mistakes to avoid

- Comparing an APR with an APY or effective rate.
- Ignoring inflation, taxes and fees when judging a real return.
- Entering a percentage as a decimal (5 instead of 0.05 is correct here).

### Inputs explained

FieldWhat to enterFace valueAmount in your currencyAnnual coupon rateIn %Coupon frequencyChoose one: Annually, Semi-annually, Quarterly, Monthly …

### What each result means

- **Annual coupon payment** = [Face value]×[Annual coupon rate]÷100
- **Coupon per period** = [Face value]×[Annual coupon rate]÷100÷[Coupon frequency]
- **Effective annual yield** = ((1 + [Annual coupon rate]÷100÷[Coupon frequency])^[Coupon frequency] - 1)×100

### Example values

How the main result changes when **Face value** changes and everything else stays at the example values above:

Face valueEffective annual yield (%)5006.097506.091,0006.091,2506.091,5006.092,0006.09

## Worked example

Inputs — Face value: $1,000; Annual coupon rate: 6 %; Coupon frequency: Semi-annually.

Results — Annual coupon payment = $60.00; Coupon per period = $30.00; **Effective annual yield = 6.09 %**.

## FAQ

**What is effective annual yield?**
The yearly return including the effect of reinvesting coupons.

**Is it higher than the coupon rate?**
Yes, whenever coupons are paid more than once a year.

**What is the bond equivalent yield?**
A simple annualized yield that ignores compounding.

**What formula does the Effective Annual Yield Calculator use?**
Effective annual yield = (1 + coupon rate ÷ n)^n − 1.