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Content • • • • • • • • • • • • Lecture 4 The Risk and Term Structure of Interest Rates Introduction The risk structure of interest rates Default risk Ratings Ratings and interest rates Liquidity Differences in tax status and municipal bonds The term structure of interest rates Yield curves Expectations theory Segmented markets theory Liquidity premium theory 1 Readings 2
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Lecture 4
The Risk and Term
Structure
of Interest Rates
Introduction
The risk structure of interest rates
Default risk
Ratings
Ratings and interest rates
Liquidity
Differences in tax status and municipal bonds
The term structure of interest rates
Yield curves
Expectations theory
Segmented markets theory
Liquidity premium theory
1
Readings
2
Introduction
• Mishkin (2021), The Economics of
Money, Banking, and Financial Markets,
13th edition, Pearson, Chapter 6.
• Cecchetti and Schoenholtz (2012),
Money, Banking, and Financial Markets,
4th edition, McGraw-Hill, Chapter 7.
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• In the previous lecture, we examined the
determination of just one interest rate. Yet there
are enormous numbers of bonds on which the
interest rates can and do differ
• Not all interest rates are created equal! We have
many interest rates at one time. But interest rates
do move together over time
• Why do interest rates differ?
• Risk structure: bonds/debt with same
maturity but different characteristics
• Term structure: bond with same
characteristics but different maturities
• Difference between two interest rates is called
spread, which is normally measured in
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percentage points or basis points
Introduction
Introduction
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cấu trúc rủi ro
Risk Structure of Interest Rates
Risk Structure of Interest Rates
Bonds with the same maturity have
different interest rates due to:
Default risk: probability that the issuer of the
bond is unable or unwilling to make interest
payments or pay off the face value
– Default risk
– Liquidity
– Tax considerations
Default risk of a bond depends on (i) the
creditworthiness of the issuer, and (ii) the
structure of the bond
– U.S. Treasury bonds are considered default
free (government can raise taxes).
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– Risk premium: the spread between the
interest rates on bonds with default risk
and the interest rates on (same maturity)
Treasury bonds
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Figure 2 Response to an Increase in Default
Risk on Corporate Bonds
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Ratings
Ratings
• The top four categories are considered investment-
• Independent companies (rating agencies) have
arisen to evaluate the creditworthiness of potential
borrowers
• The best known bond rating services are Moody’s,
Standard & Poor’s, Fitch
• They monitor the status of individual bond issuers
and assess the likelihood a lender will be repaid by
the bond issuer
• A high rating suggests that a bond issuer will have
little problem meeting a bond’s payment obligations
• Firms or governments with an exceptionally strong
financial position carry the highest ratings and are
able to issue the highest-rated bonds, Triple A
•
E.g., the U.S. Government, ExxonMobil, Microsoft
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grade bonds
• Speculative grade bonds are bonds issued by
companies and countries that may have difficulty
meeting their bond payments but are not at risk of
immediate default
• Highly speculative bonds include debts that are in
serious risk of default
• Both speculative grades are often referred to as junk
bonds or high-yield bonds
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TABLE 1 Bond Ratings by Moody’s, Standard
and Poor’s, and Fitch
Ratings
• The distinction between investment-grade and
speculative, noninvestment-grade bonds is important
A number of regulated institutional investors are
not allowed to invest in bonds rated below Baa on
Moody’s scale or BBB on Standard and Poor’s scale
• Bond ratings may change over time. Material changes
in a firm’s or government’s financial conditions
precipitate changes in its debt ratings
Ratings downgrade - lower an issuer’s bond rating.
Ratings upgrade - upgrade an issuer’s bond rating
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The Impact of Ratings on Yields
Bond ratings are designed to reflect default
risk.
The lower the rating
– The higher the risk of default.
– The lower its price and the higher its yield.
To understand quantitative ratings, it is easier
to compare them to a benchmark.
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The Impact of Ratings on Yields
The Impact of Ratings on Yields
U.S. Treasury issues are the closet to risk-free
and are commonly referred to as benchmark
bonds.
Yields on other bonds are measured in terms
of the spread over Treasuries.
Bond yield is the sum of two parts:
= U.S. Treasury yield + Default risk premium
If bond ratings properly reflect risk, then the
lower the rating if the issuer, the higher the
default-risk premium.
When Treasury yields move, all other yields
move with them.
We can see this from the next figure showing a
plot of the risk structure of interest rates.
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The Impact of Ratings on Yields
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The Impact of Ratings on Yields
Changes in the U.S. Treasury yields account for
most of the movement in the Aaa and Baa
bond yields.
From 1979-2009, the 10-year U.S. Treasury
bond yield has averaged almost a full
percentage point below the average yield on
Aaa bonds and two percentage points below
the average yield on Baa bonds.
7-19
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The Impact of Ratings on Yields
A two-percentage point increase in the yield,
from 5 to 7 percent, lowers the value of the
promise of $100 in 10 years by $10.56, or 17
percent.
Clearly ratings are crucial to corporations’
ability to raise financing.
Companies aren’t the only ones with credit
ratings: you have one too.
There are companies keeping track of your
financial information.
All this information is combined into a credit
score, which you should care about.
The better your credit score, the lower the
interest rate you will pay on debt.
– A lower rate increases the costs of funds.
Investors clearly must be compensated for
assuming risk.
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Sovereign Defaults
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Sovereign Defaults
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