Imagine that you’ve purchased a 10-year Treasury bond for $10,000 with a 2% coupon rate (i.e. it pays $200 of interest a year). Let’s say you hold onto that bond for five years, which means that now the Treasury bond is effectively a 5-year Treasury bond with a 2% coupon rate.
Now also imagine that interest rates have gone up over the five years such that a newly-issued 5-year Treasury bonds are paying 5% interest.
Would you be able to sell your Treasury bond for $10,000? It’d be pretty difficult (i.e. impossible) as nobody would want to buy your bond for $10,000 when they could buy a new bond in the market earning a 5% rate. You’d have to sell your bond for less than its face value. In other words, the price for your bond has gone down because interest rates have risen.
And the same result happens in reverse. If interest rates had gone down over the five-year period such that a newly-issued 5-year Treasury bond is paying 1% interest, people would be clamoring to buy your bond which pays at the 2% rate. In other words, the price for your bond would go up because interest rates have decreased.
How much does the price move? It moves exactly at the amount such that your bond offers the same yield to maturity as the newly-issued Treasury bond of the same duration. For example, in the hypothetical above, your Treasury bond paying a 2% coupon would only be worth $8,701 in the market. This discount not only reflects the lower coupon rate, but also takes into consideration the present value of money.
Break it down and make it even easier
Let’s use an easier example.
Consider a 1-year zero-coupon bond (i.e. one that pays no interest). It would be difficult to sell such a bond in the market as who would want to hand over money for one year only to get the same amount back at the end of the year?
To make such an offer attractive, imagine that the $10,000 1-year zero-coupon bond is trading at $9,500. The bond’s rate of return at the present time is about 5.26% since $10,000-$9,500 / $9,500 = 5.26%.
This would be a good deal to an investor who thinks a 5.26% return is attractive in the market. But what if the market currently paid 10% to similar bonds? Nobody in their right mind would hand over money to earn 5.26% when they could earn 10% with the same level of risk.
Therefore, the 1-year zero-coupon bond would fall in value from $9,500 to $9,099 (which gives a 10% yield).
Got it? Now it’s easy to see why bond prices move in inverse direction of changes in interest rates.
Joshua Holt is a former private equity M&A lawyer and the creator of Biglaw Investor. Josh couldn’t find a place where lawyers were talking about money, so he created it himself. He spends 10 minutes a month on Empower keeping track of his money. He’s also maxing out tax-advantaged accounts like 529 Plans to minimize his taxable income.
