How do you calculate the issue price of a zero-coupon bond?
Ava Robinson
Published Feb 19, 2026
Zero coupon bond prices are typically calculated using semi-annual periods (twice a year) because bonds that offer a coupon often pay interest twice a year….The formula is price = M / (1 + i)^n where:
- M = maturity value or face value.
- i = required interest yield divided by 2.
- n = years until maturity times 2.
Why would a company issue a zero-coupon bond?
A zero-coupon bond is a discounted investment that can help you save for a specific future goal. A zero-coupon bond doesn’t pay periodic interest, but instead sells at a deep discount, paying its full face value at maturity. Zeros-coupon bonds are ideal for long-term, targeted financial needs at a foreseeable time.
What is the coupon rate of a zero-coupon bond?
A bond’s coupon rate is the percentage of its face value payable as interest each year. A bond with a coupon rate of zero, therefore, is one that pays no interest. However, this does not mean the bond yields no profit. Instead, a zero coupon bond generates a return at maturity.
Are zero coupon bonds always issued at a discount?
But not all bonds have coupon payments. Those that do not are referred to as zero coupon bonds. These bonds are issued at a deep discount and repay the par value, at maturity. The difference between the purchase price and the par value represents the investor’s return.
What is the market value of a zero coupon bond with 5 years to maturity?
A 5 year zero coupon bond is issued with a face value of $100 and a rate of 6%. Looking at the formula, $100 would be F, 6% would be r, and t would be 5 years. After solving the equation, the original price or value would be $74.73. After 5 years, the bond could then be redeemed for the $100 face value.
What is the average life of a zero-coupon bond?
Zero coupon bonds may be long or short term investments. Long-term zero coupon maturity dates typically start at ten to fifteen years. The bonds can be held until maturity or sold on secondary bond markets.