# Relationship between yield to maturity and coupon rate

### The Relation of Interest Rate & Yield to Maturity | Finance - Zacks

If the yield to maturity for a bond is less than the bond's coupon rate, then the ( clean) the relationship between nominal and real interest rates under inflation. The yield to maturity (YTM), book yield or redemption yield of a bond or other fixed-interest . holding period, the original \$ invested increased to \$, so 10% per annum was earned, irrespective of any interest rate changes in between . Securities Industry and Financial Markets Association, ISBN Internal rate of return (IRR) and yield to maturity are calculations used by by combining the coupon yield with the difference between the market price and the .

It may also be called a redemption yield, and it is the internal rate of return IRR that an investor would get on an investment, such as a bond or other fixed-interest security, like gilts. This is assuming that the bond will be held until maturity, and all payments will be made on time.

Actually, YTM is a calculation that only approximates the true return. Nevertheless, it is still useful, since it provides a quick way of making rough comparisons of the returns on bonds of various coupons and maturities.

It provides investors the means to compare the values of different financial instruments. YTM is often the yield that investors enquire about when considering a bond.

The YTM calculation takes into account: It is a rather complex calculation. The coupon rate, or, more simply stated, coupon of a particular bond, is the amount of interest paid every year.

It is expressed as a percentage of the face value. Basically, it is the rate of interest that a bond issuer, or debtor, will pay to the holder of the bond. This hypothetical example is an approximation that ignores the impact of convexity; we assume the duration for the 6-month bonds and year bonds in this example to be 0.

Duration measures the percentage change in price with respect to a change in yield.

### Coupon Rate - Learn How Coupon Rate Affects Bond Pricing

FMRCo Of course, duration works both ways. If interest rates were to fall, the value of a bond with a longer duration would rise more than a bond with a shorter duration.

Using a bond's convexity to gauge interest rate risk Keep in mind that while duration may provide a good estimate of the potential price impact of small and sudden changes in interest rates, it may be less effective for assessing the impact of large changes in rates. This is because the relationship between bond prices and bond yields is not linear but convex—it follows the line "Yield 2" in the diagram below. This differential between the linear duration measure and the actual price change is a measure of convexity—shown in the diagram as the space between the blue line Yield 1 and the red line Yield 2.

## How are bond yields different from coupon rate?

Relationship between price and yield in a hypothetical bond The impact of convexity is also more pronounced in long-duration bonds with small coupons—something known as "positive convexity," meaning it will act to reinforce or magnify the price volatility measure indicated by duration as discussed earlier.

Keep in mind that duration is just one consideration when assessing risks related to your fixed income portfolio. Credit risk, inflation risk, liquidity risk, and call risk are other relevant variables that should be part of your overall analysis and research when choosing your investments. Viewing and using duration data on Fidelity. Take a test drive by signing up for Guest Access.

## What’s the Difference Between Premium Bonds and Discount Bonds?

Managing the duration of your portfolio Accessing the duration of an individual investment Plot the duration of your fixed income holdings using Fidelity's Guided Portfolio SummarySM GPS to see at a glance the weighted average duration of your fixed income holdings at Fidelity. The duration of your fixed income investments is also plotted on a grid in comparison to the benchmark.

Use the Interest Rate Sensitivity Illustrator to calculate the impact of interest rate changes on the value of your bond and bond fund holdings. View duration in the Fixed Income Analysis tool to see the duration of your bonds, CDs, and bond funds. Also, model the hypothetical addition to your portfolio of new bonds to see how they might impact the duration of the overall portfolio.

Locate a bond fund's duration in the bond fund's online profile under Portfolio Data. Locate a bond ETF's duration from either the Snapshot page or Key Statistics, where the duration of the specific ETF can be compared to the asset class median duration.

Locate a bond's duration under each bond's Bond Details page. Compare the duration of two bonds. As you review potential bond investments, you can easily compare duration and other characteristics between two bonds using this tool. Next steps to consider.