# Yield to maturity bond price relationship interest

### Bond Prices, Rates, and Yields - Fidelity

market interest rates, bond prices, and yield to maturity of treasury bonds, below, can help you visualize the relationship between market interest rates and. If interest rates decline, however, bond prices of existing bonds usually increase, . demonstrating the relationship between yield and maturity for a set of similar. The price or market value of an investment bond is based on the rate of interest the bond pays -- called the coupon rate -- compared to the current market yield.

Now let's actually do it with an actual, let's actually do the math to figure out the actual price that someone, a rational person would be willing to pay for a bond given what happens to interest rates. And to do this, I'm going to do what's called a zero-coupon bond. I'm going to show you zero-coupon bond.

## The Relation of Interest Rate & Yield to Maturity

Actually, the math is much simpler on this because you don't have to do it for all of the different coupons. You just have to look at the final payment. There is no coupon. So if I were to draw a payout diagram, it would just look like this. This is one year. This is two years. Now let's say on day one, interest rates for a company like company A, this is company A's bonds, so this is starting off, so day one, day one.

The way to think about it is let's P in this I'm going to do a little bit of math now, but hopefully it won't be too bad. Let's say P is the price that someone is willing to pay for a bond. Let me just be very clear here. If you do the math here, you get P times 1. So what is this number right here? Let's get a calculator out.

- Relationship between bond prices and interest rates
- The Relation Between Time to Maturity & Bond Price Volatility
- The Relationship Between Bonds and Interest Rates

Let's get the calculator out. If we have 1, divided by 1. Now, what happens if the interest rate goes up, let's say, the very next day? And I'm not going to be very specific. I'm going to assume it's always two years out.

It's one day less, but that's not going to change the math dramatically. Let's say it's the very next second that interest rates were to go up.

Let's say second one, so it doesn't affect our math in any dramatic way. Let's say interest rates go up. So now all of a sudden, so interest, people expect more.

## Bond prices, rates, and yields

We'll use the same formula. We bring out the calculator. We bring out the calculator, and I think you have a sense we have a larger number now in the denominator, so the price is going to go down. Let's actually calculate the math. So now, the price has gone down. Now, just to finish up the argument, what happens if interest rates go down? What is someone willing to pay for this zero-coupon bond?

The price is, if you compound it two years by 1. You get the calculator out again. The price went down. The price is also based on large trading blocks.

But the price may not take into account every factor that can impact the actual price you would be offered if you actually attempted to sell the bond. Derived pricing is commonly used throughout the industry. Of the hundreds of thousands of bonds that are registered in the United States, less thanare generally available on any given day.

These bonds will be quoted with an offered price, the price the dealer is asking the investor to pay. Treasury and corporate bonds are more frequently also listed with bid prices, the price investors would receive if they're selling the bond. Less liquid bonds, such as municipal bonds, are rarely quoted with a dealer's bid price. If the bid price is not listed, you must receive a quote from a bond trader. Call a Fidelity representative at Yield Yield is the anticipated return on an investment, expressed as an annual percentage.

There are several ways to calculate yield, but whichever way you calculate it, the relationship between price and yield remains constant: The higher the price you pay for a bond, the lower the yield, and vice versa. Current yield is the simplest way to calculate yield: While current yield is easy to calculate, it is not as accurate a measure as yield to maturity. The yield to maturity in this example is around 9. Yield to maturity Yield to maturity is often the yield that investors inquire about when considering a bond.

Yield to maturity requires a complex calculation. It considers the following factors. Coupon rate—The higher a bond's coupon rate, or interest payment, the higher its yield. That's because each year the bond will pay a higher percentage of its face value as interest. Price—The higher a bond's price, the lower its yield. That's because an investor buying the bond has to pay more for the same return.

Years remaining until maturity—Yield to maturity factors in the compound interest you can earn on a bond if you reinvest your interest payments.

**How to calculate the bond price and yield to maturity**

Difference between face value and price—If you keep a bond to maturity, you receive the bond's face value. The actual price you paid for the bond may be more or less than the face value of the bond.

Yield to maturity factors in this difference. It is 5 years from maturity.

The bond's current yield is 6. But the bond's yield to maturity in this case is higher.

### Relationship between bond prices and interest rates (video) | Khan Academy

Yield to call Yield to call is the yield calculated to the next call date, instead of to maturity, using the same formula. Yield to worst Yield to worst is the worst yield you may experience assuming the issuer does not default. It is the lower of yield to call and yield to maturity. That's because their coupon rates may not be the same.

If you are purchasing a bond primarily for a regular stream of income, then don't just pay attention to the yield to maturity, but note the coupon rate, as that will determine how much money you actually receive each year.

Yield curve and maturity date A yield curve is a graph demonstrating the relationship between yield and maturity for a set of similar securities. A number of yield curves are available. A common one that investors consider is the U. The shape of a yield curve can help you decide whether to purchase a long-term or short-term bond. Investors generally expect to receive higher yields on long-term bonds. That's because they expect greater compensation when they loan money for longer periods of time.

Also, the longer the maturity, the greater the effect of a change in interest rates on the bond's price. Normal or ascending yield curve A "normal" yield curve also called a positive or ascending yield curve means that the yield on long-term bonds is higher than the yield on short-term bonds.