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Zero-Coupon Bond Price Calculator

Price = face value discounted back to today at your yield to maturity, not a forward future-value calculation. Enter face value, yield, and years to maturity.

Page updated 2026-09-04.

Zero-Coupon Bond Price Calculator visual
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Discounting a future payoff back to today's price

A zero-coupon bond makes one payment: face value at maturity. There is no coupon along the way, so its entire price is the present value of that single future payment, discounted at the yield to maturity.

Defaults: $1,000 face value, 5% yield, 10 years to maturity. Price = 1,000 / 1.05^10 = $613.91. The $386.09 discount from face value is the return an investor earns by holding to maturity.

Compare against coupon bonds

A coupon-paying bond returns cash along the way instead of all at maturity -- see the Bond Coupon Payment Calculator for that payment schedule, and the Bond Duration Calculator for how sensitive a bond's price is to changing rates.

Frequently Asked Questions (FAQ)

How is a zero-coupon bond priced?

Price = face value / (1 + yield to maturity) ^ years to maturity. A zero-coupon bond pays no periodic interest -- it is sold at a discount to face value and the return comes entirely from that discount closing as the bond approaches maturity. Defaults: $1,000 face value, 5% yield, 10 years gives a price of $613.91.

Why is the price lower than face value?

Because there is no coupon, the entire return has to come from buying below face value. The gap between the price you pay ($613.91 on the defaults) and the $1,000 you eventually receive is $386.09, which is your total return over 10 years.

Does a higher yield mean a higher or lower price?

Lower. Yield and price move in opposite directions for any fixed-income instrument. A higher discount rate shrinks the present value of that future $1,000, so the price you would pay today drops.

What does this actually do?

Compound interest projects a principal forward to a future value. This page runs the same math in reverse: given a future face value, a yield, and a term, it discounts back to find what the bond should cost today.