How the Zero-Coupon Bond Calculator Works
A zero-coupon bond pays no periodic interest — instead, it’s purchased at a discount and matures at full face value. The investor’s entire return comes from that price appreciation.
This zero-coupon bond calculator computes:
- Bond Price — the fair value given a target yield
- Implied Yield to Maturity — the return given a purchase price
- Total Gain at Maturity — the dollar difference between price and face value
- Total Return (%) — the overall percentage gain
Zero-Coupon Bond Formula
Price (given yield)
Price = Face Value ÷ (1 + y/n)^(n×t)
Yield (given price)
y = n × [(Face Value ÷ Price)^(1 ÷ (n×t)) − 1]
Where: - y = Yield to maturity (as a decimal) - n = Compounding periods per year - t = Years to maturity
Zero-Coupon Bond Examples
Example 1: Solving for Price
| Variable | Value |
|---|---|
| Face Value | $1,000 |
| Yield to Maturity | 5% |
| Compounding | Annually |
| Years to Maturity | 10 |
| Bond Price | $613.91 |
Example 2: Solving for Yield
| Variable | Value |
|---|---|
| Face Value | $1,000 |
| Purchase Price | $700 |
| Compounding | Annually |
| Years to Maturity | 10 |
| Implied Yield | 3.63% |
Who Benefits from the Zero-Coupon Bond Calculator?
This zero-coupon bond calculator is designed for:
- Investors evaluating discount bonds like STRIPS or savings bonds
- Parents planning education savings with zero-coupon bonds
- Financial planners matching bond maturities to future liabilities
- Students learning fixed-income pricing concepts
Frequently Asked Questions
What is a zero-coupon bond?
A zero-coupon bond is a bond that pays no periodic interest. Instead, it’s sold at a discount to its face value and pays the full face value at maturity, with the difference representing the investor’s return.
How do you calculate the price of a zero-coupon bond?
The price is calculated by discounting the face value back to the present using the yield to maturity: Price = Face Value ÷ (1 + y/n)^(n×t).
How do you find the yield of a zero-coupon bond?
Given the purchase price, face value, and time to maturity, the implied yield is found by rearranging the price formula: y = n × [(Face Value ÷ Price)^(1 ÷ (n×t)) − 1].
Why do zero-coupon bonds trade at a discount?
Since zero-coupon bonds pay no periodic interest, investors buy them below face value so that the price appreciation to face value at maturity represents their entire return.
Is my data stored anywhere?
No. All calculations run locally in your browser. No data is sent to any server.