# Inverse Relation Between Interest Rates and Bond Prices

**Reviewed by Somer Anderson****Fact checked by Kirsten Rohrs Schmitt****Reviewed by Somer Anderson****Fact checked by Kirsten Rohrs Schmitt**

Bonds have an inverse relationship to interest rates. When the cost of borrowing money rises (when interest rates rise), bond prices usually fall, and vice-versa.

To those unfamiliar with bond trading, the negative correlation between interest rates and bond prices may be confusing and counterintuitive. However, the relationship is purely mathematical and does not represent any kind of market misbehavior.

### Key Takeaways

- Most bonds pay a fixed interest rate that becomes more attractive if interest rates fall, driving up demand and the price of the bond.
- Conversely, if interest rates rise, investors will no longer prefer the lower fixed interest rate paid by a bond, resulting in a decline in its price.
- Zero-coupon bonds provide a clear example of how this mechanism works in practice.

## Bond Prices vs. Yield

Bond investors, like all investors, typically try to get the best return possible. To achieve this goal, they generally need to keep tabs on the fluctuating costs of borrowing.

An easy way to grasp why bond prices move in the opposite direction of interest rates is to consider zero-coupon bonds, which don’t pay regular interest and instead derive all of their value from the difference between the purchase price and the par value paid at maturity.

Zero-coupon bonds are issued at a discount** **to par value, with their yields a function of the purchase price, the par value, and the time remaining until maturity; however, zero-coupon bonds also lock in the bond’s yield, which may be attractive to some investors.

## Zero-Coupon Bonds

If a zero-coupon bond is trading at $950 and has a par value of $1,000 (paid at maturity in one year), the bond’s rate of return** **at the present time is 5.26%: (1,000 – 950) ÷ 950 x 100 = 5.26. In other words, for an individual to pay $950 for this bond, they must be happy with receiving a 5.26% return.

This satisfaction, of course, depends on what else is happening in the bond market. If current interest rates were to rise, where newly issued bonds were offering a yield of 10%, then the zero-coupon bond yielding 5.26% would be much less attractive. Who wants a 5.26% yield when they can get 10%?

To attract demand, the price of the pre-existing zero-coupon bond would have to decrease enough to match the same return yielded by prevailing interest rates. In this instance, the bond’s price would drop from $950 (which gives a 5.26% yield) to approximately $909.09 (which gives a 10% yield).

Now that there is an understanding of how a bond’s price moves in relation to interest rate changes, it’s easy to see why a bond’s price would increase if prevailing interest rates were to drop. If rates dropped to 3%, the zero-coupon bond, with its yield of 5.26%, would suddenly look very attractive. More people would buy the bond, which would push the price up until the bond’s yield matched the prevailing 3% rate. In this instance, the price of the bond would increase to approximately $970.87.

Given this price increase, you can see why bondholders, the investors selling their bonds, benefit from a decrease in prevailing interest rates. These examples also show how a bond’s coupon rate and, consequently, its market price are directly affected by national interest rates. To have a shot at attracting investors, newly issued bonds tend to have coupon rates that match or exceed the current national interest rate.

### Zero-Coupon Bond Details

Zero-coupon bonds tend to be more volatile, as they do not pay any periodic interest during the life of the bond. Upon maturity, a zero-coupon bondholder receives the face value of the bond. Thus, the value of these debt securities increases the closer they get to expiring.

Zero-coupon bonds have unique tax implications, too, that investors should understand before investing in them. Even though no periodic interest payment is made on a zero-coupon bond, the annual accumulated return is considered to be income, which is taxed as interest.

The bond is assumed to gain value as it approaches maturity, and this gain in value is not viewed as capital gains, which would be taxed at the capital gains rate, but rather as income.

In other words, taxes must be paid on these bonds annually, even though the investor does not receive any money until the bond maturity date. This may be burdensome for some investors; however, there are some ways to limit these tax consequences.

## Bond Prices and the Fed

When people refer to “the national interest rate” or “the Fed,” they’re most often referring to the federal funds rate set by the Federal Open Market Committee (FOMC). This is the rate of interest charged on the interbank transfer of funds held by the Federal Reserve (Fed) and is widely used as a benchmark for interest rates on all kinds of investments and debt securities.

Fed policy initiatives have a huge effect on the price and the yield of bonds. When the Fed increases the federal funds rate, the price of existing fixed-rate bonds decreases and the yields on new fixed-rate bonds increases. The opposite happens when interest rates go down: existing fixed-rate bond prices go up and new fixed-rate bond yields decline.

### Important

The sensitivity of a bond’s price to changes in interest rates is known as its duration.

**What Is the Relationship Between Bond Prices and Interest Rates?**

The relationship between bond prices and interest rates is an inverse one. When interest rates go up, bond prices go down. When interest rates go down, bond prices go up.

**Is It Better to Buy Bonds When Interest Rates Are High or Low?**

In general, it is better to buy bonds when interest rates are high if your objective is to maximize returns. When interest rates are high, the yield on a bond is higher, so your investment return will be higher compared to when rates are low.

**Do Bonds Go Down When Stocks Go Up?**

Typically, when stocks go up, bond prices drop. When stocks go up, it draws investors towards investment in stocks as opposed to bonds. As the demand for bonds decreases, so do their prices, in order to make them more attractive to investors.

## The Bottom Line

Interest rates and bond prices have an inverse relationship. When interest rates go up, the prices of bonds go down, and when interest rates go down, the prices of bonds go up. This happens because when new bonds are issued with the higher paying rate (better yield for the investor), it makes existing bonds with the lower rate less attractive. To make these lower-rate bonds more attractive, the price is reduced to entice investors to purchase them.

*Correction—April 17, 2023: *The correlation between the federal funds rate and the price and yield of bonds has been corrected in this article to indicate that when the first one increases, the price falls and the yield goes up.

*Correction—August 6, 2023: *The correlation between the direction of the federal funds rate and the price and yield of bonds has been corrected to clarify that only new fixed-rate bond yields move, with existing yields holding steady.

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