Yield to Maturity: Definition, Formula, and Practical Application

Yield to maturity (YTM) formula and bond pricing

Yield to maturity, abbreviated YTM, is the total annual return an investor would earn from a bond held from purchase until maturity, assuming the issuer makes every scheduled payment on time and the investor reinvests every coupon at the same rate. YTM is expressed as a single percentage and is the bond’s expected long-run return.

Quick Answer
Yield to maturity (YTM) is the total annual return an investor would earn from a bond held from purchase until it matures, assuming the issuer makes every payment on time and the investor reinvests every coupon at the same rate. It is the single most important number on a bond and the figure professional investors use to compare bonds.

Three things to remember about YTM:

  • YTM moves inversely to bond prices: when prices rise, yields fall
  • YTM is more useful than coupon rate because it updates with the market price
  • Higher YTM is not automatically better, it usually means more risk
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What is yield to maturity?

Yield to maturity, abbreviated YTM, is the total annual return an investor would earn from a bond held from purchase until maturity, assuming the issuer makes every scheduled payment on time and the investor reinvests every coupon at the same rate. YTM is expressed as a single percentage and is the bond’s expected long-run return.

The yield to maturity formula

The YTM is the discount rate that makes the present value of all the bond’s future cash flows equal to its current market price:

Bond Price = โˆ‘ [ Coupon / (1 + YTM)t ] + [ Face Value / (1 + YTM)n ]

where t = each period, n = total periods to maturity

The YTM cannot be solved directly because it appears inside multiple exponents. It is calculated iteratively, by trying a rate, computing the implied price, comparing to the market price, and adjusting until they match. In practice, financial calculators, Excel (using the YIELD or RATE function), and Bloomberg terminals do this in microseconds.

Step-by-step YTM calculation

Take a bond with these terms:

  • Face value: $1,000
  • Annual coupon: 5% (= $50 per year)
  • Years to maturity: 5
  • Current market price: $980

Step 1. Identify cash flows: $50 in years 1, 2, 3, 4, plus $1,050 in year 5 (final coupon + principal).

Step 2. Try YTM = 5%. Discount each cash flow at 5%. Sum equals $1,000. Too high (market price is $980).

Step 3. Try YTM = 6%. Discount at 6%. Sum equals $957.88. Too low.

Step 4. Try YTM = 5.45%. Discount at 5.45%. Sum equals approximately $980. Match.

Result. YTM = 5.45%.

Quick interpretation
The bond carries a 5% coupon, but the investor is buying it at a discount ($980 vs $1,000 face). The YTM of 5.45% reflects both the coupon income and the gain from buying below face value. If the investor had paid $1,050 (a premium), the YTM would be below 5%.

Why bond prices move

Bond coupons and maturity are fixed at issuance, but bond prices change continuously after issuance:

  • If market interest rates rise, the bond’s fixed coupon becomes less attractive, and the bond’s price falls
  • If market interest rates fall, the bond’s fixed coupon becomes more attractive, and the bond’s price rises

This inverse relationship between bond prices and interest rates is the most important relationship in fixed income.

YTM vs coupon rate

Bond status Price vs face value YTM vs coupon
Trading at par Price = Face value YTM = coupon rate
Trading at discount Price < Face value YTM > coupon rate
Trading at premium Price > Face value YTM < coupon rate

Reinvestment risk

The YTM calculation assumes that every coupon received is reinvested at the same yield. In practice, interest rates change over time, so reinvested coupons may earn more or less than the original YTM. This is reinvestment risk, and it is one reason that the realised return on a bond held to maturity may differ from the quoted YTM.

YTM, spread, and duration

  • YTM tells you the expected return.
  • Spread is the YTM minus the YTM on a duration-matched government bond. It isolates the credit and liquidity premium.
  • Duration tells you how much the bond’s price will move when interest rates change. A bond with duration of 5 will lose approximately 5% if rates rise by 1%.

Professional bond investors track all three together.

Why higher YTM is not automatically better

A bond with YTM of 8% is generally riskier than a bond with YTM of 4%. The higher yield is the market’s compensation for:

  • Credit risk (the issuer might default)
  • Interest rate risk (longer duration is more sensitive to rate moves)
  • Reinvestment risk (uncertainty about future rates)
  • Liquidity risk (some bonds are harder to sell)
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People Also Ask

What is YTM in simple terms?

YTM is the yearly return you would earn on a bond if you bought it today and held it until it matures, assuming everything goes as scheduled.

How is YTM different from current yield?

Current yield = annual coupon รท current market price. It only looks at coupon income at today’s price. YTM also includes the gain or loss from buying above or below face value, and the reinvestment of coupons.

Is YTM the same as IRR?

YTM is a specific application of internal rate of return (IRR), applied to a bond’s cash flows. They are calculated the same way mathematically.

What is a good YTM in 2026?

It depends on the credit quality and duration. As of 2026, U.S. Treasury 10-year yields are in the 4 to 5% range; investment-grade corporate bonds typically yield 100 to 200 basis points above Treasuries; high-yield bonds typically yield 300 to 600 basis points above Treasuries.

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