(a) Market for municipal bonds
( b) Market for Treasury bonds
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F I G U R E 5 . 3
Interest Rates on Municipal and Treasury Bonds
When the municipal bond is given tax-free status, demand for the municipal bond shifts right-
ward from
to
and demand for the Treasury bond shifts leftward from
to
. The equi-
librium price of the municipal bond rises from
to
so its interest rate falls, while the
equilibrium price of the Treasury bond falls from
to
and its interest rate rises. The result is
that municipal bonds end up with lower interest rates than those on Treasury bonds.
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In contrast to corporate bonds, Treasury bonds are exempt from state and local income taxes.
Using the analysis in the text, you should be able to show that this feature of Treasury bonds provides
an additional reason why interest rates on corporate bonds are higher than those on Treasury bonds.
Another way of understanding why municipal bonds have lower interest rates
than Treasury bonds is to use the supply-and-demand analysis depicted in Figure 5.3.
We assume that municipal and Treasury bonds have identical attributes and so have
the same bond prices as drawn in the figure:
and the same interest rates.
Once the municipal bonds are given a tax advantage that raises their after-tax
expected return relative to Treasury bonds and makes them more desirable,
demand for them rises, and their demand curve shifts to the right, from
to
.
The result is that their equilibrium bond price rises from
to
and their equi-
librium interest rate falls. By contrast, Treasury bonds have now become less desir-
able relative to municipal bonds; demand for Treasury bonds decreases, and
shifts to
. The Treasury bond price falls from
to
, and the interest rate rises.
The resulting lower interest rates for municipal bonds and higher interest rates
for Treasury bonds explain why municipal bonds can have interest rates below
those of Treasury bonds.
1
Summary
The risk structure of interest rates (the relationship among interest rates on bonds
with the same maturity) is explained by three factors: default risk, liquidity, and
the income tax treatment of a bond’s interest payments. As a bond’s default risk
increases, the risk premium on that bond (the spread between its interest rate and
the interest rate on a default-free Treasury bond) rises. The greater liquidity of
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Term Structure of Interest Rates
We have seen how risk, liquidity, and tax considerations (collectively embedded in
the risk structure) can influence interest rates. Another factor that influences the
interest rate on a bond is its term to maturity: Bonds with identical risk, liquidity, and
tax characteristics may have different interest rates because the time remaining to
maturity is different. A plot of the yields on bonds with differing terms to maturity
but the same risk, liquidity, and tax considerations is called a yield curve, and it
describes the term structure of interest rates for particular types of bonds, such as
government bonds. The Following the Financial News box shows several yield curves
for Treasury securities that were published in the Wall Street Journal. Yield curves
can be classified as upward-sloping, flat, and downward-sloping (the last sort is often
referred to as an inverted yield curve). When yield curves slope upward, the most usual
96
Part 2 Fundamentals of Financial Markets
Treasury bonds also explains why their interest rates are lower than interest rates on
less liquid bonds. If a bond has a favorable tax treatment, as do municipal bonds,
whose interest payments are exempt from federal income taxes, its interest rate
will be lower.
C A S E
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