Home Back

Zero Coupon Bond Price Calculation Formula

Zero Coupon Bond Price Formula:

\[ P = \frac{F}{(1 + r)^n} \]

currency units
decimal
years

Unit Converter ▲

Unit Converter ▼

From: To:

1. What is the Zero Coupon Bond Price Calculation Formula?

The zero coupon bond price calculation formula determines the present value of a bond that pays no periodic interest but is sold at a discount to its face value. The bondholder receives the face value at maturity.

2. How Does the Calculator Work?

The calculator uses the zero coupon bond price formula:

\[ P = \frac{F}{(1 + r)^n} \]

Where:

Explanation: The formula discounts the future face value back to present value using the required yield to maturity as the discount rate.

3. Importance of Bond Price Calculation

Details: Accurate bond pricing is essential for investors to determine fair value, assess investment opportunities, and make informed decisions about bond purchases and sales in the fixed income market.

4. Using the Calculator

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.

5. Frequently Asked Questions (FAQ)

Q1: What is a zero coupon bond?
A: A zero coupon bond is a debt security that doesn't pay periodic interest but is issued at a discount to its face value and redeemed at face value at maturity.

Q2: How does yield to maturity affect bond price?
A: Higher yields result in lower bond prices, and vice versa. There's an inverse relationship between yield and price.

Q3: What's the difference between coupon bonds and zero coupon bonds?
A: Coupon bonds pay periodic interest payments, while zero coupon bonds pay all returns at maturity through price appreciation.

Q4: Are zero coupon bonds suitable for long-term investing?
A: They can be suitable for specific long-term goals due to their predictable returns, but investors should consider interest rate risk and tax implications.

Q5: How does time to maturity impact bond price sensitivity?
A: Longer maturities make bond prices more sensitive to changes in interest rates (higher duration risk).

Zero Coupon Bond Price Calculation Formula© - All Rights Reserved 2025