Zero Coupon Bond Calculator
Zero Coupon Bond Calculator
Calculate the current price of a zero coupon bond based on its face value, years to maturity, and market yield. Zero coupon bonds pay no periodic interest but are sold at a deep discount to face value, providing a return through price appreciation.
Bond Details
Results
INSTRUCTIONS
How to Use This Calculator
1. Enter Face Value
Input the par value the bond will pay at maturity. Standard face values are $1,000 or $10,000 for Treasury STRIPS.
2. Set Maturity
Enter the number of years until the bond matures and the face value is paid. Longer maturity means a larger discount.
3. Enter Market Yield
Input the current market yield to calculate the bond's present value price using the discount formula.
4. Reverse Yield Calc
Optionally enter a purchase price to calculate the effective yield implied by buying at that price and holding to maturity.
EDUCATION
Understanding Zero Coupon Bonds
Zero coupon bonds do not make periodic interest payments. Instead, they are issued at a discount to face value and appreciate toward par over time. The pricing formula is straightforward: Price = FV / (1 + r)n, where FV is the face value, r is the annual yield, and n is the years to maturity. The entire return comes from the difference between the purchase price and the face value received at maturity.
Because all cash flow is concentrated at maturity, zero coupon bonds have the highest duration and convexity of any bond with the same maturity. Their Macaulay Duration equals the time to maturity, making them extremely sensitive to interest rate changes. A 20-year zero coupon bond will experience roughly twice the price volatility of a 20-year coupon bond when yields shift.
Treasury STRIPS are the most common zero coupon bonds, created by separating the coupon and principal payments of Treasury securities. Despite paying no periodic income, zero coupon bond holders owe annual taxes on the imputed (phantom) interest, which is the yearly accretion in value. This makes them popular for tax-advantaged accounts like IRAs where phantom income taxation is deferred.
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