Zero Coupon Bond Price Formula:
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A zero-coupon bond is a debt security that doesn't pay periodic interest (coupons) but is issued at a discount to its face value. The investor receives the face value at maturity, with the difference representing the interest earned.
The calculator uses the zero-coupon bond pricing formula:
Where:
Explanation: The formula discounts the future face value back to present value using the yield to maturity as the discount rate.
Details: Accurate bond pricing is essential for investors to determine fair value, assess investment opportunities, and manage fixed-income portfolios effectively.
Tips: Enter face value in currency units, yield to maturity as a decimal (e.g., 0.05 for 5%), and years to maturity. All values must be positive.
Q1: What is the main advantage of zero-coupon bonds?
A: They eliminate reinvestment risk since there are no periodic coupon payments to reinvest at potentially lower rates.
Q2: How are zero-coupon bonds taxed?
A: In many jurisdictions, imputed interest is taxed annually as it accrues, even though no cash is received until maturity.
Q3: What happens if I sell before maturity?
A: The selling price will depend on prevailing interest rates and the remaining time to maturity.
Q4: Are zero-coupon bonds risk-free?
A: No, they carry interest rate risk (price sensitivity to rate changes) and credit risk (issuer default risk).
Q5: How does inflation affect zero-coupon bonds?
A: They are highly sensitive to inflation expectations since the fixed return may be eroded by rising prices over time.