What Is Yield to Maturity?
Yield to Maturity (YTM) is an estimate of the
annualized rate of return an investor would earn
if a bond were purchased at its current market
price and held until maturity, assuming the bond
makes its scheduled payments.
Unlike the coupon rate, YTM takes the bond's
current market price into account. This makes
YTM useful when comparing bonds trading at
different prices.
YTM Formula
Price =
Σ [C / (1 + r)t]
+
[F / (1 + r)n]
The YTM is the periodic discount rate that makes
the present value of the bond's future coupon
payments and principal equal to its current price.
-
Price =
current bond market price
-
C =
coupon payment per period
-
F =
face value
-
r =
periodic yield
-
n =
number of remaining periods
Because YTM cannot always be solved directly with
a simple algebraic formula, this calculator uses
an iterative numerical approach to find the yield
that matches the bond's current price.
Coupon Rate vs YTM
The coupon rate tells you the interest payment
promised by the bond relative to its face value.
YTM considers the bond's current market price,
coupon payments and repayment of principal.
-
Bond at a discount:
YTM is generally higher than the coupon rate.
-
Bond at par:
YTM is generally close to the coupon rate.
-
Bond at a premium:
YTM is generally lower than the coupon rate.
Bond YTM Calculator FAQ
What does YTM mean?
YTM stands for Yield to Maturity. It represents
the annualized return implied by a bond's current
price, coupon payments and maturity value.
Is YTM the same as the coupon rate?
No. The coupon rate determines the bond's scheduled
coupon payment, while YTM incorporates the bond's
market price and maturity value as well.
Why is YTM higher than the coupon rate for a discount bond?
An investor purchasing a bond below face value can
potentially receive both coupon income and a gain
toward face value at maturity. This generally makes
YTM higher than the coupon rate.
Why is YTM lower than the coupon rate for a premium bond?
An investor paying more than face value may receive
coupon income but also face a reduction toward the
bond's lower redemption value at maturity. This
generally reduces the YTM relative to the coupon rate.
Does YTM guarantee my actual investment return?
No. YTM is based on assumptions about holding the
bond to maturity and receiving scheduled payments.
Actual investment returns can be affected by taxes,
fees, defaults, reinvestment rates, early redemption
and other factors.
Important Disclaimer
This calculator is provided for educational and
informational purposes only. It does not constitute
financial, investment, tax or legal advice.
Actual bond returns may differ from the calculated
YTM because of transaction costs, taxes, changes in
interest rates, credit events, reinvestment rates,
early redemption and other market conditions.