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https://www.investopedia.com/ask/answers/why-interest-rates-have-inverse-relationship-bond-prices/
Bonds have an inverse relationship to interest rates; when interest rates rise, bond prices fall, and vice-versa. At first glance, the inverse relationship between interest rates and bond prices seems somewhat illogical, but upon closer examination, it makes good sense.
An easy way to grasp why bond prices move in the opposite direction as interest rates is to consider zero-coupon bonds, which don't pay coupons but derive their value from the difference between the purchase price and the par value paid at maturity. For instance, 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 approximately 5.26%, which is equal to (1000 - 950) ÷ 950.
For a person to pay $950 for this bond, he or she must be happy with receiving a 5.26% return. But his or her satisfaction with this return depends on what else is happening in the bond market.
Bond investors, like all investors, typically try to get the best return possible. If current interest rates were to rise, giving newly issued bonds a yield of 10%, then the zero-coupon bond yielding 5.26% would not only be less attractive, it wouldn't be in demand at all. 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 $909.09 (which gives a 10% yield).
An easy way to grasp why bond prices move in the opposite direction as interest rates is to consider zero-coupon bonds, which don't pay coupons but derive their value from the difference between the purchase price and the par value paid at maturity. For instance, 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 approximately 5.26%, which is equal to (1000 - 950) ÷ 950.
For a person to pay $950 for this bond, he or she must be happy with receiving a 5.26% return. But his or her satisfaction with this return depends on what else is happening in the bond market.
Bond investors, like all investors, typically try to get the best return possible. If current interest rates were to rise, giving newly issued bonds a yield of 10%, then the zero-coupon bond yielding 5.26% would not only be less attractive, it wouldn't be in demand at all. 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 $909.09 (which gives a 10% yield).
