Zero-Coupon Bonds and Treasury Strips
Original-issue discount bonds are less common than coupon bonds issued at par. These are
bonds that are issued intentionally with low coupon rates that cause the bond to sell at a dis-
count from par value. The most common example of this type of bond is the zero-coupon
bond, which carries no coupons and provides all its return in the form of price appreciation.
Zeros provide only one cash flow to their owners, on the maturity date of the bond.
U.S. Treasury bills are examples of short-term zero-coupon instruments. If the bill has
face value of $10,000, the Treasury issues or sells it for some amount less than $10,000,
agreeing to repay $10,000 at maturity. All of the investor’s return comes in the form of
price appreciation.
Longer-term zero-coupon bonds are commonly created from coupon-bearing notes and
bonds. A bond dealer who purchases a Treasury coupon bond may ask the Treasury to break
down the cash flows to be paid by the bond into a series of independent securities, where
each security is a claim to one of the payments of the original bond. For example, a 10-year
coupon bond would be “stripped” of its 20 semiannual coupons, and each coupon payment
would be treated as a stand-alone zero-coupon bond. The maturities of these bonds would
thus range from 6 months to 10 years. The final payment of principal would be treated as
another stand-alone zero-coupon security. Each of the payments is now treated as an inde-
pendent security and is assigned its own CUSIP number (by the Committee on Uniform
Securities Identification Procedures), the security identifier that allows for electronic trad-
ing over the Fedwire system, a network that connects all Federal Reserve banks and their
Show that if yield to maturity increases, then holding-period return is less than initial yield. For example,
suppose in Example 14.9 that by the end of the first year, the bond’s yield to maturity is 8.5%. Find the
1-year holding-period return and compare it to the bond’s initial 8% yield to maturity.
CONCEPT CHECK
14.6
Consider a 30-year bond paying an annual coupon of $80 and selling at par value of
$1,000. The bond’s initial yield to maturity is 8%. If the yield remains at 8% over the
year, the bond price will remain at par, so the holding-period return also will be 8%. But
if the yield falls below 8%, the bond price will increase. Suppose the yield falls and the
price increases to $1,050. Then the holding-period return is greater than 8%:
Holding-period return
5
$80
1 ($1,050 2 $1,000)
$1,000
5 .13, or 13%
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