THE EFFECT OF CHANGING INTEREST RATES ON BOND
VALUES
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Another risk
that bond investors face is interest rate risk -- the risk that rising
interest rates will make their fixed interest rate bonds less valuable. To
illustrate this, let's suppose you bought a $1,000 par value bond with a 10-year
maturity and a 6 percent coupon rate. You will earn 6 percent of $1,000,
or $60, each year that you own the bond. Let's further assume that after
one year, you decide to sell it, and at that time, new bonds are being issued
with 7 percent coupons. Investors can choose between your 6 percent bond
and a new 7 percent bond. To entice someone to buy your bond, you will to
have to discount its price so that the new owner will earn the same $60, but
will have paid less than $1,000 to buy it, thus raising his or her yield closer
to 7 percent. | |
The reverse is also true. Using the example above, let's
assume that when you sell your bond, new bonds are being issued with 5 percent
coupons. Investors can choose between your 6 percent bond and a new 5
percent bond. Comparatively, your bond is now much more attractive.
An investor will be willing to pay more than $1,000 to earn 6 percent rather
than 5 percent.
Duration is the tool that helps investors gauge these price
fluctuations that are due to interest rate risk. As previously discussed,
duration is expressed as a number of years from the purchase date. In
simple terms, a bond's duration will determine how its price is affected by
interest rate changes. In other words, if rates move up by one percentage
point -- for example, from 6 percent to 7 percent -- the price of a bond with a
duration of 5 years will move down by 5 percent, while a bond with a duration of
10 years will move down by about 10 percent. You will notice that all
components of a bond are duration variables. That is, the bond's duration,
coupon, and yield-to-maturity, as well as the extent of the change in interest
rates, are all significant variables that ultimately determine how much a bond's
price moves.
As you can see, duration is a powerful tool for any bond
investor looking to make the most of his or her buying, selling, and holding
decisions. Let's recap what we have learned.