Monday, August 31, 2015

Why do interest rates have an inverse relationship with bond prices?



On prima facie the inverse relationship between interest rates and bond prices would not make sense and seem to be illogical. However, to understand the logic let us consider an illustration of zero-coupon bond[1].

A zero coupon bond is trading at Rs.925.00 and has a par value/maturity value with maturity in one year. Hence, the bond’s rate of return (yield) is approximately 8.11%. The person, who bought this bond by paying Rs.925.00, must be satisfied with 8.11% returns. But, this satisfaction would be compared with what else is happening in the bond market with regard to returns. If the current interest rates increases, when newly issued bond pays 10%, then the zero coupon bond becomes unattractive. Demand for zero coupon bonds won’t be present at all. Therefore, to attract demand for zero coupon bonds, the price of the bond should decrease enough to match the prevailing interest rates. In this illustration, the bond’s price should be brought down to Rs.909.09 which offers a yield of 10.01% equivalent to the prevailing interest rate in the bond market.

Now, let us change the situation where the interest rates decrease to 6% in the bond market. Zero coupon bonds looks more attractive with 8.11% returns. More people would buy the bond, which would push the price up until the bond’s yield is matched with current interest rate of 6%. In this illustration, the bond’s price would increase to Rs.943.39. As the price increases, the bond holders benefit from increase in price due to decrease in prevailing interest rates.


[1] Zero coupon bonds are bonds with no coupon payments. Like Treasury Bills, they are issued at a (deep) discount to the face value.

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