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

$613.91 Bond Price at 5.00% Yield
Discount from Par$386.09 (38.61%)
Total Return to Maturity62.89%
Average Annual Accretion$38.61
Duration (Macaulay)10.00 years
Modified Duration9.5238

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.

RELATED TOOLS

More Bond Calculators

monetization_on

Bond Price Calculator

Calculate the fair market price of a coupon-paying bond using discounted cash flow analysis.

apartment

Municipal Bond Calculator

Compare municipal bond yields to taxable bonds using the tax-equivalent yield formula.

bar_chart

Bond Yield Calculator

Calculate the current yield and yield to maturity for any bond based on its market price.

Demo Account Available

Test strategies with $50,000 in virtual capital.

Open Account