Coupon Rate Formula:
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The coupon rate is the annual interest rate paid on a bond's face value. It represents the percentage of the bond's face value that will be paid annually as interest to bondholders.
The calculator uses the coupon rate formula:
Where:
Explanation: The formula calculates the annual coupon rate by multiplying the periodic coupon payment ratio by the number of payment periods per year and converting to percentage.
Details: The coupon rate is crucial for investors to understand the income they will receive from a bond investment. It helps compare different bonds and assess their yield relative to current market conditions.
Tips: Enter the periodic coupon payment in currency units, the bond's face value in the same currency units, and the number of payments per year (typically 1 for annual, 2 for semi-annual, 4 for quarterly).
Q1: What is the difference between coupon rate and yield?
A: Coupon rate is fixed and based on face value, while yield varies with market price and considers both coupon payments and price changes.
Q2: Can coupon rate change over time?
A: For fixed-rate bonds, the coupon rate remains constant. For floating-rate bonds, it adjusts based on reference rates.
Q3: What are typical coupon payment frequencies?
A: Most bonds pay semi-annually (m=2), but annual (m=1), quarterly (m=4), and monthly (m=12) payments also exist.
Q4: How does coupon rate affect bond price?
A: Bonds with higher coupon rates generally have higher prices. When market rates rise, existing bonds with lower coupons become less valuable.
Q5: What is a zero-coupon bond?
A: A zero-coupon bond pays no periodic interest (C=0) but is sold at a discount to face value, providing return through price appreciation.